.. _V3.04.004: **v3.04.004** SSLV04 - Hollow cylinder with plane stresses ==== **Summary:** This test is taken from Guide VPCS (test SSLV04 /89) and its object is a hollow cylinder loaded with internal pressure. This three-dimensional problem is treated with various models: * in :math:`3D`: 9 models (pentahedra, hexahedra, tetrahedra and pyramids, degrees 1 and 2), * in :math:`2D` plane constraints: 4 models (triangles and quadrangles degrees 1 and 2, quadrangles with 9 knots), * in :math:`2D` axisymmetric: 3 models (triangles and quadrangles degrees 1 and 2, quadrangles with 9 knots). The tested functionalities are: * distributed pressure, * shape effect (with fixed or variable pressure), * mandatory trips, * stiffness matrices, * deformations and stresses at the nodes, * nodal reactions (K modeling), * use of MACR_LIGN_COUP on a mult_elas concept and a comb_fourier concept (modeling I) There are 16 models. **Reference Issue** **Geometry** Coordinates of the points: .. csv-table:: "", ":math:`>` "," :math:`>` "," :math:`>` "," "," :math:`>` "," :math:`>` "," :math:`>`" ":math:`>` ", "0.100", "0.200"," :math:`>` "," "," :math:`>` "," :math:`>` "," :math:`>`" ":math:`>` ", "0. ", "0. "," :math:`>` "," :math:`>` "," :math:`>` "," :math:`>`" ":math:`>` ", "0", "0. ", "0. ", "0. ", "0. ", "0." **Material Properties** The Young's modulus of the material is equal to :math:`>`. The Poisson's ratio is equal to :math:`>`. **Boundary conditions and loads** Internal pressure: :math:`>` Variable internal pressure (P modeling only): :math:`>` varies linearly from :math:`>` to :math:`>` to :math:`>` to :math:`>` **Reference solution** **Calculation method used for the reference solution** In plane stress (cylinder with free edges at the ends) :math:`>` We get: for :math:`>`: :math:`>`; for :math:`>`: :math:`>` Transition to the Cartesian axis system: :math:`>` with: * :math:`>` in points :math:`>` and :math:`>`, * :math:`>` in points :math:`>` and :math:`>`, * :math:`>` at points :math:`>` and :math:`>`. **Benchmark Results** Displacements :math:`>` and constraints :math:`>` at points :math:`>`. **Bibliographical references** 1. Guide VPCS. SSLV04 /89 2. Y.C. FUNG. Foundations of solid mechanics. Prentice-hall, Inc. Englewood Cliffs. NJ. 1965 p.243-245. 3. J. COURBON. Material strength p 649 **Modeling A** **Modelling characteristics** 3D elements (PENTA6 and HEXA8). Mesh obtained by extrusion from a :math:`>` mesh similar to the mesh below (30 elements in the radial direction with gradual de-refinement and :math:`>` elements in the circumferential direction). +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ |Following axis :math:`>`: |1 layer of elements | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ |Total thickness: |:math:`>` | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ | | | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ |Boundary conditions: | | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ | | | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ |Bow :math:`>`: :math:`>` | | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ |Face :math:`>` stuck in :math:`>` | | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ | |Face :math:`>` blocked normally | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ |Pressure on the face :math:`>` |:math:`>` | | +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ | | | | | || +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ |Node names: |:math:`>`|:math:`>`|:math:`>`| || +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ | |:math:`>`|:math:`>`|:math:`>`| || +---------------------------------+-------------------------------+-------------------+---------+---------+---------++++ **Mesh characteristics** Number of knots: 1922 Number of meshes and types: 900 PENTA6, 450 HEXA8 and 90 QUAD4 (inner skin sides). **Tested quantities and results** .. csv-table:: "**Location**", "**Size**", "**Reference**", "**Reference Type**", "**Tolerance**" "Field nor_ DNOR Point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "", "1.0", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "", "0.0", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "1.5%" .. csv-table:: "**Location**", "**Size**", "**Reference**", "**Reference Type**", "**Tolerance**" "", "", "", "", "" "M1380 mesh, point :math:`>` ", "", "", "", "", "" "SIRO_ELEM "," :math:`>` ", "60.0", "'ANALYTIQUE'", "2.0%" "Normal stress on element face", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "1.0" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>` ", "-60.0", "'ANALYTIQUE'", "2.0%" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "Tangential stress in the element plane", ":math:`>` "," ", "0.0", "'ANALYTIQUE'", "1.0%" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "1.0" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "2.0" "Second constraint value", ":math:`>` ", "-100.0", "'ANALYTIQUE'", "1.0%" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>` ", "100.0", "'ANALYTIQUE'", "1.0%" "", "", "", "", "'ANALYTIQUE'", "" "M1351 mesh, point :math:`>` ", "", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM "," :math:`>` ", "42.426", "'ANALYTIQUE'", "1.5%" "Normal stress at element face", ":math:`>` ", "42.426", "'ANALYTIQUE'", "2.0%" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>` ", "-60.0", "'ANALYTIQUE'", "1.0%" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "Tangential stress in the element plane", ":math:`>` "," ", "" 0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.2" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.1" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.2" "SIRO_ELEM "," :math:`>` ", "70.711", "'ANALYTIQUE'", "1.5%" "Second constraint value", ":math:`>` ", "-70.711", "'ANALYTIQUE'", "1.5%" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>` ", "100.0", "'ANALYTIQUE'", "1.0%" .. _DdeLink__14869_1330770811: .. _DdeLink__14869_13307708111: .. _DdeLink__14869_1330770811111: .. _DdeLink__14869_13307708111212: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "Field DEPL, comp. :math:`>` ", "5.9 10—5", "'ANALYTIQUE'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "2%" "", "Field SIGM_NOEU, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.5 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4 10 —5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "2%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "3.69552 10—5", "'ANALYTIQUE'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "1.53073 10—5", "'ANALYTIQUE'", "1%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "0.1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "6%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "6%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—80. ", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "10%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "10%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "1%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "2.82843 10 —5", "'ANALYTIQUE'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "0.1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "6%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.2 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—20. ", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "8%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "2%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "1%" **B Modeling** **Modelling characteristics** 3D elements (PENTA15 and HEXA20). Mesh obtained by extrusion from mesh :math:`>` below (F modeling) +---------------------------------+-------------------------------+--------------------++ |Following axis :math:`>`: |2 layers of elements|| +---------------------------------+-------------------------------+--------------------++ |Total thickness: |:math:`>` || +---------------------------------+-------------------------------+--------------------++ | | || +---------------------------------+-------------------------------+--------------------++ |Boundary conditions: | || +---------------------------------+-------------------------------+--------------------++ | | || +---------------------------------+-------------------------------+--------------------++ |Bow :math:`>` | || +---------------------------------+-------------------------------+--------------------++ |Face :math:`>` stuck in :math:`>` | || +---------------------------------+-------------------------------+--------------------++ | |Face :math:`>` blocked normally | +---------------------------------+-------------------------------+--------------------++ |Pressure on the face :math:`>` |:math:`>` || +---------------------------------+-------------------------------+--------------------++ .. csv-table:: "", "", "", "", "" "Node names:", ":math:`>` "," :math:`>` "," "," :math:`>` ", "" "", ":math:`>` "," :math:`>` "," :math:`>` ", "" **Mesh characteristics** Number of knots: 2115 Number of meshes and types: 400 PENTA15, 100 HEXA20, 100, 40 QUAD8 (inner skin sides) **Tested quantities and results** .. csv-table:: "**Location**", "**Size**", "**Reference**", "**Reference Type**", "**Tolerance**" "", "", "", "", "" "Mesh MA751, point :math:`>` ", "", "", "", "" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "3." "Normal stress at element face", ":math:`>` ", "60.0", "'ANALYTIQUE'", "0.5%" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.1" "Tangential stress in the element plane", ":math:`>` "," ", "0.0", "'ANALYTIQUE'", "0.1" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.1" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.05" "SIRO_ELEM "," :math:`>` ", "100.0", "'ANALYTIQUE'", "0.15%" "Second constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "4.5" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.20" "", "", "", "", "'ANALYTIQUE'", "" "Mesh MA769, point :math:`>` ", "", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM "," :math:`>` ", "-42.426", "'ANALYTIQUE'", "6.0%" "Normal stress at element face", ":math:`>` ", "42.426", "'ANALYTIQUE'", "4.0%" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "Tangential stress in the element plane", ":math:`>` "," ", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.03" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "SIRO_ELEM "," :math:`>` ", "70.711", "'ANALYTIQUE'", "3.5%" "Second constraint value", ":math:`>` ", "70.711", "'ANALYTIQUE'", "4.5%" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.1" .. _DdeLink__14869_13307708112: .. _DdeLink__14869_133077081121: .. _DdeLink__14869_1330770811211: .. _DdeLink__14869_13307708112111: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "-", "Field DEPL, comp. :math:`>` ", "5.9 10—5", "'ANALYTIQUE'", "1%" "Mesh MA251 ", "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "Mesh MA251 ", "Champ SIGM_ELNO, comp. :math:`>` ", "— 60. ", "'ANALYTIQUE'", "1%" "Mesh MA251 ", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.02 (absolute)" "Mesh MA251 ", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.5 (absolute)" "Mesh MA251 ", "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "Mesh MA251 ", "Champ EPSI_ELNO, comp. :math:`>` ", "— 4.5 10—4", "'ANALYTIQUE'", "1%" "Mesh MA251 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "Mesh MA251 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "Point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "-", "Field DEPL, comp. :math:`>` ", "4 10—5", "'ANALYTIQUE'", "1%" "Mesh MA551 ", "Champ SIGM_ELNO, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "0.1%" "Mesh MA551 ", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "Mesh MA551 ", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.015 (absolute)" "Mesh MA551 ", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.15 (absolute)" "Mesh MA551 ", "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "Mesh MA551 ", "Champ EPSI_ELNO, comp. :math:`>` ", "— 0.6. 10—4", "'ANALYTIQUE'", "1%" "Mesh MA551 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "Mesh MA551 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "Mesh MA399 ", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "10%" "Mesh MA399 ", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "10%" "Mesh MA399 ", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.5 (absolute)" "Mesh MA399 ", "Champ SIGM_ELNO, comp. :math:`>` ", "80. ", "'ANALYTIQUE'", "1%" "Mesh MA399 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "Mesh MA399 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "Mesh MA399 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "Mesh MA399 ", "Champ EPSI_ELNO, comp. :math:`>` ", "5.2 10 —4", "'ANALYTIQUE'", "1%" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "—2.82843 10—5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "Mesh MA695 ", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "Mesh MA695 ", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "Mesh MA695 ", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.05 (absolute)" "Mesh MA695 ", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "0.1%" "Mesh MA695 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "Mesh MA695 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "Mesh MA695 ", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "Mesh MA695 ", "Champ EPSI_ELNO, comp. :math:`>` ", "1.3 10 —4", "'ANALYTIQUE'", "1%" **C Modeling** **Modelling characteristics** 3D elements (TETRA4). :math:`>` is on the :math:`>` axis +---------------------------------+-------------------------------+--------------------------------------------------------------------++ |Die-cutting: |21 equidistant nodes on segments :math:`>`, :math:`>`, and :math:`>`|| +---------------------------------+-------------------------------+--------------------------------------------------------------------++ | |21 knots equidistant on arcs :math:`>` and :math:`>` || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ | | || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ |Following axis :math:`>`: |1 layer of elements || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ |Total thickness: |:math:`>` || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ | | || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ |Boundary conditions: | || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ | | || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ |Bow :math:`>`: :math:`>` | || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ |Face :math:`>` stuck in :math:`>` | || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ | |Face :math:`>` blocked normally | +---------------------------------+-------------------------------+--------------------------------------------------------------------++ |Pressure on the face :math:`>` |:math:`>` || +---------------------------------+-------------------------------+--------------------------------------------------------------------++ .. csv-table:: "", "", "", "", "" "Node names:", ":math:`>` "," :math:`>` "," "," :math:`>` ", "" "", ":math:`>` "," :math:`>` "," :math:`>` ", "" **Mesh characteristics** Number of knots: 1115 Number of meshes and types: 3724 TETRA4 and 1760 TRIA3 (inner skin sides) **Tested quantities and results** .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "Field nor_ DNOR Point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "", "1.0", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "", "0.0", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "1.5%" .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "", "", "", "", "" "M5444 mesh, point :math:`>` ", "", "", "", "", "" "SIRO_ELEM "," :math:`>` ", "60.0", "'ANALYTIQUE'", "8.0%" "Normal stress at element face", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "1.5" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.1" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.1" "Tangential stress in the element plane", ":math:`>` "," ", "" 0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "1.5" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "2.5" "Second constraint value", ":math:`>` ", "-100.0", "'ANALYTIQUE'", "2.0%" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.20" "", "", "", "", "'ANALYTIQUE'", "" "M5404 mesh, point :math:`>` ", "", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM "," :math:`>` ", "42.426", "'ANALYTIQUE'", "6.0%" "Normal stress at element face", ":math:`>` ", "42.426", "'ANALYTIQUE'", "9.0%" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.00" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "Tangential stress in the element plane", ":math:`>` "," ", "" 0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "1.50" "SIRO_ELEM "," :math:`>` ", "-70.711", "'ANALYTIQUE'", "2.0%" "Second constraint value", ":math:`>` ", "70.711", "'ANALYTIQUE'", "4.0%" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "0.10" .. _DdeLink__14869_13307708113: .. _DdeLink__14869_133077081114: .. _DdeLink__14869_13307708111112: .. _DdeLink__14869_133077081112122: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "Field DEPL, comp. :math:`>` ", "5.9 10—5", "'ANALYTIQUE'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "3 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4 10 —5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "15%" "", "Field EPSI_NOEU, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "3.69552 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "1.53073 10—5", "'ANALYTIQUE'", "1%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "11%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "10%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.5 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—80. ", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "20%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "20%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "3%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "2.82843 10 —5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "10%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—20. ", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "11%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "1%" **D Modeling** **Modelling characteristics** 3D element (TETRA10). :math:`>` is on the :math:`>` axis +---------------------------------+-------------------------------+-------------------------------------------------------------------++ |Die-cutting: |11 equidistant nodes on segments :math:`>`, :math:`>` and :math:`>`|| +---------------------------------+-------------------------------+-------------------------------------------------------------------++ | |11 knots equidistant on arcs :math:`>` and :math:`>` || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ | | || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ |Following axis :math:`>`: |1 layer of elements || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ |Total thickness: |:math:`>` || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ | | || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ |Boundary conditions: | || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ | | || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ |Bow :math:`>`: :math:`>` | || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ |Face :math:`>` stuck in :math:`>` | || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ | |Face :math:`>` blocked normally | +---------------------------------+-------------------------------+-------------------------------------------------------------------++ |Pressure on the face :math:`>` |:math:`>` || +---------------------------------+-------------------------------+-------------------------------------------------------------------++ .. csv-table:: "", "", "", "", "" "Node names:", ":math:`>` "," :math:`>` "," "," :math:`>` ", "" "", ":math:`>` "," :math:`>` "," :math:`>` ", "" **Mesh characteristics** Number of knots: 1395 Number of meshes and types: 652 TETRA10 and 480 TRIA6 (inner skin sides) **Tested quantities and results** .. _DdeLink__14869_133077081131: .. _DdeLink__14869_1330770811141: .. _DdeLink__14869_133077081111121: .. _DdeLink__14869_1330770811121221: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "Field DEPL, comp. :math:`>` ", "5.9 10—5", "'ANALYTIQUE'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4 10 —5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "3.69552 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "1.53073 10—5", "'ANALYTIQUE'", "1%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—80. ", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "2%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "1%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "2.82843 10 —5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2E-3 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—20. ", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "2%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "2%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "1%" .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "", "", "", "", "" "M1111 mesh, point :math:`>` ", "", "", "", "", "" "SIRO_ELEM "," :math:`>` ", "60.0", "'ANALYTIQUE'", "1.0%" "Normal stress at element face", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "3.0" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "Tangential stress in the element plane", ":math:`>` "," ", "0.0", "'ANALYTIQUE'", "2.5" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First main constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "4.5" "Second main constraint value", ":math:`>` ", "-100.0", "'ANALYTIQUE'", "1.0%" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.1" "", "", "", "", "'ANALYTIQUE'", "" "M1093 mesh, point :math:`>` ", "", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM "," :math:`>` ", "42.426", "'ANALYTIQUE'", "14%" "Normal stress at element face", ":math:`>` ", "42.426", "'ANALYTIQUE'", "5.0%" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "2.0" "Tangential stress in the element plane", ":math:`>` "," ", "" 0.0", "'ANALYTIQUE'", "2.0" "", ":math:`>` ", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM "," :math:`>` ", "0.0", "'ANALYTIQUE'", "0.01" "First main constraint value", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "0.01" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "''", "1.5" "SIRO_ELEM "," :math:`>` ", "-70.711", "'ANALYTIQUE'", "5.0%" "Second main constraint value", ":math:`>` ", "70.711", "'ANALYTIQUE'", "4.0%" "tangential in the element plane", ":math:`>` ", "0.0", "'ANALYTIQUE'", "2.0" **E Modeling** **Modelling characteristics** Elements C_PLAN (TRIA3 + QUAD4) Mesh :math:`>` similar to the mesh below (30 elements in the radial direction with gradual deraffination and :math:`>` elements in the circumferential direction). Boundary conditions: +---------------------------------+------------------------------+++ |Side :math:`>` stuck in :math:`>` ||| +---------------------------------+------------------------------+++ | |side :math:`>` locked normally | +---------------------------------+------------------------------+++ |Pressure on :math:`>` :math:`>` ||| +---------------------------------+------------------------------+++ .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "", ":math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 961 Number of meshes and types: 900 TRIA3, 450 QUAD4 **Tested quantities and results** .. csv-table:: "**Location**", "**Size**", "**Reference Values**", "**Reference Type**", "**Tolerance**" "Field nor_ DNOR Point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ DNOR point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "0.1%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "", "1.0", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "", "0.0", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "1.5%" "Field nor_ PRES point :math:`>` ", "Normal vector, component :math:`>` ", "-0.707", "'ANALYTIQUE'", "1.5%" .. _DdeLink__14869_13307708114: .. _DdeLink__14869_133077081115: .. _DdeLink__14869_13307708111113: .. _DdeLink__14869_133077081112123: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "Field DEPL, comp. :math:`>` ", "5.9 10—5", "'ANALYTIQUE'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "2%" "", "Field SIGM_NOEU, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-5 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4 10 —5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1.5 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "2%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-5 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "12%" "", "Field EPSI_NOEU, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "3.69552 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "1.53073 10—5", "'ANALYTIQUE'", "1%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "7%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "7%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-5 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—80. ", "'ANALYTIQUE'", "1%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "15%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "15%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "1%" ":math:`>` ", "Field DEPL, comp. :math:`>` ", "2.82843 10 —5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "3%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "2%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-5 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—20. ", "'ANALYTIQUE'", "7%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "5%" "", "Field EPSI_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field EPSI_NOEU, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "7%" **F Modeling** **Modelling characteristics** **Elements** **C_Plan** **** (**** QUAD8 **** ****+**** TRIA6 ****) ** Boundary conditions: .. csv-table:: "side :math:`>` stuck in :math:`>` ", "" "side :math:`>` locked normally", "" "press on :math:`>` :math:`>` ", "" .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "", ":math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 591 Number of meshes and types: 200 TRIA6, 50 QUAD8 **Tested quantities and results** .. _DdeLink__14869_133077081132: .. _DdeLink__14869_1330770811142: .. _DdeLink__14869_133077081111122: .. _DdeLink__14869_1330770811121222: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.9 10—5", "'ANALYTIQUE'", "0.1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "-60. ", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.3 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10 —5", "'ANALYTIQUE'", "0.1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "Knit 151", "Champ SIGM_ELNO, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "5%" "Knit 151", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "Knit 151", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.015 (absolute)" "Knit 151", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "Knit 151", "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "Knit 151", "Champ EPSI_ELNO, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "1%" "Knit 151", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "Knit 151", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "0.1%" "-", "Field DEPL, comp. :math:`>` ", "-4.17193 10—5", "'ANALYTIQUE'", "0.1%" "M75", "Field SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "M75", "Field SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "M75", "Field SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M75", "Field SIGM_ELNO, comp. :math:`>` ", "80. ", "'ANALYTIQUE'", "1%" "M75", "Field EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "20%" "M75", "Field EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "20%" "M75", "Field EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M75", "Field EPSI_ELNO, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "1%" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10 —5", "'ANALYTIQUE'", "0.1%" "-", "Field DEPL, comp. :math:`>` ", "-2.82843 10—5", "'ANALYTIQUE'", "0.1%" "M223", "Field SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M223", "Field SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M223", "Field SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M223", "Field SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M223", "Field EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M223", "Field EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M223", "Field EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M223", "Field EPSI_ELNO, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "1%" **G Modeling** **Modelling characteristics** **Modeling** **C_PLAN** **** (**** QUAD9 **** **)** Boundary conditions: .. csv-table:: "side :math:`>` stuck in :math:`>`" "side :math:`>` locked normally" "pressure on :math:`>` :math:`>`" .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "", ":math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 441 Number of meshes and types: 100 QUAD9 **Tested quantities and results** .. _DdeLink__14869_1330770811321: .. _DdeLink__14869_13307708111421: .. _DdeLink__14869_1330770811111221: .. _DdeLink__14869_13307708111212221: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.9 10—5", "'ANALYTIQUE'", "0.1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.05 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10 —5", "'ANALYTIQUE'", "0.1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M10" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "M10" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "1%" "M10" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M10" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.01 (absolute)" "M10" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "1%" "M10" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "M10" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M10" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "M91 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "M91 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "M91 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M91 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "—80. ", "'ANALYTIQUE'", "1%" "M91 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M91 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M91 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M91 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "1%" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10 —5", "'ANALYTIQUE'", "0.1%" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "0.1%" "M100 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M100 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M100 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M100 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "-20", "'ANALYTIQUE'", "0.1%" "M100 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M100 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M100 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M100 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "1%" **H Modeling** **Modelling characteristics** **Elements** **AXIS** **** (**** TRIA3 + QUAD4 **** **)** Boundary conditions: .. csv-table:: "" "node :math:`>` stuck in :math:`>` press on :math:`>` :math:`>`" .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "", ":math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 113 Number of meshes and types: 40 QUAD4, 80 TRIA3 **Tested quantities and results** .. _DdeLink__14869_13307708113211: .. _DdeLink__14869_133077081114211: .. _DdeLink__14869_13307708111112211: .. _DdeLink__14869_133077081112122211: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "0.1%" "M119 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "6%" "M119 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "''", "1.1 (absolute)" "M119 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1.5%" "M119 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1.2 (absolute)" "M119 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "3%" "M119 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M119 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "M119 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "0.1%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.5 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "40,", "'ANALYTIQUE'", "1.3%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.15 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "6%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "2%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "0.1%" "M120 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "-60", "'ANALYTIQUE'", "6%" "M120 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "''", "1.1 (absolute)" "M120 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1.5%" "M120 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1.2 (absolute)" "M120 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "-4,5 10—4", "'ANALYTIQUE'", "3%" "M120 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M120 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "5-90 10—4", "'ANALYTIQUE'", "1%" "M120 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "0.1%" "M5 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "M5 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.5 (absolute)" "M5 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "1%" "M5 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.15 (absolute)" "M5 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "-6 10—5", "'ANALYTIQUE'", "3%" "M5 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M5 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "2 10—4", "'ANALYTIQUE'", "1%" "M5 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**" "ORIN (0.1, 0)", "Membrane Stress*Pm*", "82.9180024359435", "'ANALYTIQUE'" "ORIN (0.1, 0)", "Bending Stress*Pb*", "62.3994636932228", "'ANALYTIQUE'" "ORIN (0.1, 0)", "*Pm + Pb*", "145.3170033", "'ANALYTIQUE'" "EXTR (0.2, 0)", "Membrane Stress*Pm*", "82.9180024359435", "'ANALYTIQUE'" "EXTR (0.2, 0)", "Flexural Stress*Pb*", "47.1217312842318", "'ANALYTIQUE'" "EXTR (0.2, 0)", "*Pm + Pb*", "35.80513084", "'ANALYTIQUE'" **Modeling I** **Modelling characteristics** **Elements** **AXIS** **** (**** TRIA6 **** **+** **QUAD8** **)** Boundary conditions: .. csv-table:: "" "Node :math:`>` stuck in :math:`>` press on :math:`>` :math:`>`" .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "", ":math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 175 Number of meshes and types: 20 QUAD8, 40 TRIA6 **Tested quantities and results** .. _DdeLink__14869_133077081132111: .. _DdeLink__14869_1330770811142111: .. _DdeLink__14869_133077081111122111: .. _DdeLink__14869_1330770811121222111: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "0.1%" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "6%" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "''", "1.1 (absolute)" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1.5%" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1.2 (absolute)" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "0.1%" "M59 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "M59 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.5 (absolute)" "M59 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "40,", "'ANALYTIQUE'", "1.3%" "M59 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.15 (absolute)" "M59 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "1%" "M59 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M59 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "M59 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "0.1%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "-60", "'ANALYTIQUE'", "6%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "''", "1.1 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1.5%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1.2 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "-4,5 10—4", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "5-90 10—4", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "0.1%" "M48 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1 (absolute)" "M48 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.5 (absolute)" "M48 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "1%" "M48 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.15 (absolute)" "M48 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "-6 10—5", "'ANALYTIQUE'", "1%" "M48 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" "M48 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "2 10—4", "'ANALYTIQUE'", "1%" "M48 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-2 (absolute)" At the end of this test, a loading in rotation in pure axisymmetry was compared with the same loading in Fourier mode 0. There are many identical results. Results from MACR_LIGN_COUP on the AE segment: The NON_REGRESSION tests are done on the tables from MACR_LIGN_COUP applied to a CHAMP_GD. They are the 'AUTRE_ASTER' reference values for tables from MACR_LIGN_COUP applied to a mult_elas result. +------------+------------+---------+-------------+-------------------+------------------+-------------+ |**Location** |**Size** |**Reference value**|**Reference type**|**Precision**| +------------+------------+---------+-------------+ + + + |**Point** |**ABSC_CUR**|**Field**|**Component**| | | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0000 |DEPL |DX | |'NON_REGRESSION' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.005 |DEPL |DX | |'NON_REGRESSION' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.1 |DEPL |DX | |NON_REGRESSION ' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0000 |DEPL |DX |1.35511346318 |'AUTRE_ASTER' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.005 |DEPL |DX |1.35531703991 |'AUTRE_ASTER' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.1 |DEPL |DX |1.35511346318 |'AUTRE_ASTER' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ The same procedure is used to test the result of MACR_LIGNE_COUPE applied to a comb_fourier concept. +------------+------------+---------+-------------+-------------------+------------------+-------------+ |**Location** |**Size** |**Reference value**|**Reference type**|**Precision**| +------------+------------+---------+-------------+ + + + |**Point** |**ABSC_CUR**|**Field**|**Component**| | | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0000 |DEPL |DX | |'NON_REGRESSION' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.005 |DEPL |DX | |'NON_REGRESSION' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.1 |DEPL |DX | |NON_REGRESSION ' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0000 |DEPL |DX |5.8999716105E-05 |'AUTRE_ASTER' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.005 |DEPL |DX |5.90000189066E-05 |'AUTRE_ASTER' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ |:math:`>` |0.1 |DEPL |DX |5.89997161037E-05 |'AUTRE_ASTER' | | +------------+------------+---------+-------------+-------------------+------------------+-------------+ **J Modeling** **Modelling characteristics** **Elements** **AXIS** **** (**** QUAD9 **** **)** Boundary conditions: .. csv-table:: "" "node :math:`>` stuck in :math:`>` press on :math:`>` :math:`>`" .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "", ":math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 205 Number of meshes and types: 40 QUAD9 **Tested quantities and results** .. _DdeLink__14869_1330770811321111: .. _DdeLink__14869_13307708111421111: .. _DdeLink__14869_1330770811111221111: .. _DdeLink__14869_13307708111212221111: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "0.1%" "M39 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "0.5%" "M39 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.1 (absolute)" "M39 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "-", "'NON_REGRESSION'", "-" "M39 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.5 (absolute)" "M39 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "M39 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M39 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "M39 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "0.1%" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.02 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.01 (absolute)" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "-", "'NON_REGRESSION'", "-" "M1" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.005 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "M1" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "0.1%" "M40 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "-60", "'ANALYTIQUE'", "0.5%" "M40 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.1 (absolute)" "M40 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "-", "'NON_REGRESSION'", "-" "M40 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.05 (absolute)" "M40 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "-4,5 10—4", "'ANALYTIQUE'", "1%" "M40 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M40 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "5-90 10—4", "'ANALYTIQUE'", "1%" "M40 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "0.1%" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.02 (absolute)" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0,", "'ANALYTIQUE'", "0.01 (absolute)" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "-", "'NON_REGRESSION'", "-" "M2" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "5E-3 (absolute)" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "-6 10—5", "'ANALYTIQUE'", "1%" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "2 10—4", "'ANALYTIQUE'", "1%" "M2" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" **K-Modeling** **Modelling characteristics** **Elements** **3D** **** (**** PENTA6 **** **** **and** **HEXA8** **)** Mesh obtained by extrusion from mesh :math:`>` below (modeling E) +-----------------------------------------------------------+-------------------------------+----------------------------------------++ |Following axis :math:`>`: |2 layers of elements || +-----------------------------------------------------------+-------------------------------+----------------------------------------++ |Total thickness: |:math:`>` || +-----------------------------------------------------------+-------------------------------+----------------------------------------++ | | || +-----------------------------------------------------------+-------------------------------+----------------------------------------++ |Boundary conditions: | || +-----------------------------------------------------------+-------------------------------+----------------------------------------++ | | || +-----------------------------------------------------------+-------------------------------+----------------------------------------++ |Node :math:`>`: :math:`>` face :math:`>` stuck in :math:`>` | || +-----------------------------------------------------------+-------------------------------+----------------------------------------++ | |Face :math:`>` blocked normally | +-----------------------------------------------------------+-------------------------------+----------------------------------------++ |Face :math:`>` |radial displacement imposed on :math:`>`|| +-----------------------------------------------------------+-------------------------------+----------------------------------------++ .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "plan :math:`>` "," :math:`>` "," :math:`>` "," :math:`>`" "plan :math:`>` "," :math:`>` "," :math:`>` "," :math:`>`" "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "plan :math:`>` "," :math:`>` "," :math:`>` "," :math:`>`" "plan :math:`>` "," :math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 513 Number of meshes and types: 400 PENTA6, 100 HEXA8, 100, 40 QUAD4 (inner skin sides) **Remarks** In this case, the load is in forced displacement, unlike other models. We are testing the reactions. **Tested quantities and results** .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" ":math:`>` ", "Field REAC_NODA, comp FX", "1.0884 E—3", "'AUTRE_ASTER'", "0.7%" "", "Field REAC_NODA, comp FY", "4.5084 E—4", "'AUTRE_ASTER'", "1.7%" ":math:`>` ", "Field REAC_NODA, comp FX", "2.1768 E—3", "'AUTRE_ASTER'", "1%" "", "Field REAC_NODA, comp FY", "9.0170 E—4", "'AUTRE_ASTER'", "1.3%" ":math:`>` ", "Field REAC_NODA, comp FX", "1.0884 E—3", "'AUTRE_ASTER'", "0.7%" "", "Field REAC_NODA, comp FY", "4.5084 E—4", "'AUTRE_ASTER'", "1.7%" ":math:`>` ", "Field REAC_NODA, comp FX", "1.1636 E—3", "'AUTRE_ASTER'", "0.7%" "", "Field REAC_NODA, comp FY", "1.8429 E—4", "'AUTRE_ASTER'", "0.6%" ":math:`>` ", "Field REAC_NODA, comp FX", "1.0045 E—3", "'AUTRE_ASTER'", "1%" "", "Field REAC_NODA, comp FY", "6.1550 E—4", "'AUTRE_ASTER'", "1%" ":math:`>` ", "Field REAC_NODA, comp FX", "2.3272 E—3", "'AUTRE_ASTER'", "0.5%" "", "Field REAC_NODA, comp FY", "3.6858 E—4", "'AUTRE_ASTER'", "0.6%" ":math:`>` ", "Field REAC_NODA, comp FX", "2.0090 E—3", "'AUTRE_ASTER'", "0.7%" "", "Field REAC_NODA, comp FY", "1.2310 E—3", "'AUTRE_ASTER'", "0.8%" **Remarks** We check that the nodal forces of reactions are zero at all nodes, except on the nodes of surface :math:`>` and surfaces :math:`>` and :math:`>`. **L Modeling** **Modelling characteristics** **Elements** **3D** **** (**** PYRAM5 **** **)** +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Following axis :math:`>`: |each parallelepiped is divided into 6 pyramids|| +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Total thickness: |:math:`>` || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ | | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Boundary conditions: | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ | | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Node :math:`>`: :math:`>` face :math:`>` stuck in :math:`>` | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ | |Face :math:`>` blocked normally | +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Pressure on the face :math:`>` |:math:`>` || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 342 Number of meshes and types: 600 PYRAM5 620 QUAD4 (inner skin sides) **Tested quantities and results** .. _DdeLink__14869_13307708113212: .. _DdeLink__14869_133077081114212: .. _DdeLink__14869_13307708111112212: .. _DdeLink__14869_133077081112122212: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M3" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "12%" "M3" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "10%" "M3" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2. (absolute)" "M3" mesh, "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "5. (absolute)" "M3" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "11%" "M3" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "10%" "M3" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M3" mesh, "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1. (absolute)" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "2%" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.5 (absolute)" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "2. (absolute)" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "5%" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "4%" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "60%" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "3 (absolute)" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "—80. ", "'ANALYTIQUE'", "4%" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "35%" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "80%" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "4%" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "6%" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.5 (absolute)" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.05 (absolute)" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "10%" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "10%" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-1 (absolute)" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "5%" **M Modeling** **Modelling characteristics** **Elements** **3D** **** (**** PYRAM13 **** **)** +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Following axis :math:`>`: |each parallelepiped is divided into 6 pyramids|| +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Total thickness: |:math:`>` || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ | | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Boundary conditions: | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ | | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Node :math:`>`: :math:`>` face :math:`>` stuck in :math:`>` | || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ | |Face :math:`>` blocked normally | +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ |Pressure on the face :math:`>` |:math:`>` || +-----------------------------------------------------------+-------------------------------+----------------------------------------------++ .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 1703 Number of meshes and types: 600 PYRAM13 620 QUAD8 (inner skin sides) **Tested quantities and results** .. _DdeLink__14869_133077081132121: .. _DdeLink__14869_1330770811142121: .. _DdeLink__14869_133077081111122121: .. _DdeLink__14869_1330770811121222121: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M6 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "1%" "M6 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "M6 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "M6 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "M6 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—4.5 10—4", "'ANALYTIQUE'", "1%" "M6 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "5.9 10—4", "'ANALYTIQUE'", "1%" "M6 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M6 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "0.12%" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "M58 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1. (absolute)" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—6 10—5", "'ANALYTIQUE'", "1%" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "2. 10—4", "'ANALYTIQUE'", "1%" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M58 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "M546 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "—80. ", "'ANALYTIQUE'", "0.12%" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "2%" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M546 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—5.2 10 —4", "'ANALYTIQUE'", "1%" ":math:`>` ", "", "", "", "" "-", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "-", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.01 (absolute)" "M599 mesh", "Champ SIGM_ELNO, comp. :math:`>` ", "-20", "'ANALYTIQUE'", "0.12%" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0.7 10—4", "'ANALYTIQUE'", "1%" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "M599 mesh", "Champ EPSI_ELNO, comp. :math:`>` ", "—1.3 10—4", "'ANALYTIQUE'", "1%" **N Modeling** **Modelling characteristics** **Elements** **3D** **** (**** PENTA15 **** **** **and** **HEXA20** **)** Mesh obtained by extrusion from a :math:`>` mesh similar to the mesh below (8 elements in the radial direction, :math:`>` elements in the circumferential direction) and duplicated to have a complete section of the cylinder (over 360°). +---------------------------------------------------------------+---------+-------------------+---------+---------+++ |Following axis :math:`>`: |1 layer of elements | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ |Total thickness: |:math:`>` | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ | | | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ |Boundary conditions: | | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ | | | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ |Face :math:`>` stuck in :math:`>` face :math:`>` stuck normally | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ | | | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ |Pressure on the face :math:`>` |:math:`>` | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ |shape effect on sections |:math:`>` | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ | | | +---------------------------------------------------------------+---------+-------------------+---------+---------+++ |Node names: |:math:`>` |:math:`>`|:math:`>`||| +---------------------------------------------------------------+---------+-------------------+---------+---------+++ | |:math:`>` |:math:`>`|:math:`>`||| +---------------------------------------------------------------+---------+-------------------+---------+---------+++ **Mesh characteristics** Number of knots: 8832 Number of meshes and types: 1024 PENTA15, 512 HEXA20, 512, 1176 QUAD8 and 2048 TRIA6. **Remarks** Contrary to previous models, the background effect applying to the sections at the ends of the cylinder is taken into account here. **Tested quantities and results** .. _DdeLink__14869_1330770811321211: .. _DdeLink__14869_13307708111421211: .. _DdeLink__14869_1330770811111221211: .. _DdeLink__14869_13307708111212221211: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "5.60 10-5", "'NON_DEFINI'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—60. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "100. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" ":math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "3.4 10-5", "'NON_DEFINI'", "0.1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "0.1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" ":math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'NON_DEFINI'", "1%" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "2%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "—80. ", "'NON_DEFINI'", "1%" ":math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'NON_DEFINI'", "1%" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "-20. ", "'NON_DEFINI'", "1%" **O Modeling** **Modelling characteristics** **Elements** **C_PLAN** **** (**** QUAD8 **** **+** **TRIA6** **)** Mesh :math:`>` similar to the mesh below (8 elements in the radial direction, :math:`>` elements in the circumferential direction) and duplicated to have a complete section of the cylinder (over 360°). Boundary conditions: .. csv-table:: "side :math:`>` stuck in :math:`>`" "side :math:`>` locked normally" "pressure on :math:`>` :math:`>`" .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," :math:`>`" "", ":math:`>` "," :math:`>` "," :math:`>`" **Mesh characteristics** Number of knots: 3840 Number of meshes and types: 1026 TRIA6, 512 QUAD8 **Tested quantities and results** .. _DdeLink__14869_1330770811321212: .. _DdeLink__14869_13307708111421212: .. _DdeLink__14869_1330770811111221212: .. _DdeLink__14869_13307708111212221212: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "5.90 10-5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—60. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "100. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.3 (absolute)" ":math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "4 10-5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'ANALYTIQUE'", "0.5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.015 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "0.1. (absolute)" ":math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "4.17193 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "5%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "-80", "'ANALYTIQUE'", "1%" ":math:`>` ", "", "", "", "" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "", "Field DEPL, comp. :math:`>` ", "2.82843 10—5", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'ANALYTIQUE'", "1%" "", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'ANALYTIQUE'", "1E-4 (absolute)" "", "Field SIGM_NOEU, comp. :math:`>` ", "—20. ", "'ANALYTIQUE'", "1%" **P modelling** **Modelling characteristics** **Elements** **3D** **(PENTA15 and** **** HEXA20 **** **) — same mesh as N modelling** Mesh obtained by extrusion from a :math:`>` mesh similar to the mesh below (8 elements in the radial direction, :math:`>` elements in the circumferential direction) and duplicated to have a complete section of the cylinder (over 360°). +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ |Following axis :math:`>`: |1 layer of elements|| +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ |Total thickness: |:math:`>` || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ | | || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ |Boundary conditions: | || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ | | || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ | |Face :math:`>` blocked normally | +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ |Face :math:`>` stuck in :math:`>` | || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ |Pressure on the face :math:`>` |:math:`>` || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ |shape effect on sections |:math:`>` || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ | | || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ |With :math:`>`: pressure as a linear function of time equal to :math:`>` to :math:`>` and :math:`>` to :math:`>` || +----------------------------------------------------------------------------------------------------------------+-------------------------------+-------------------++ .. csv-table:: "Node names:", ":math:`>` "," :math:`>` "," "," :math:`>` ", "" "", ":math:`>` "," :math:`>` "," :math:`>` ", "" **Mesh characteristics** Number of knots: 8832 Number of meshes and types: 1024 PENTA15, 512 HEXA20, 512, 1176 QUAD8 and 2048 TRIA6. **Remarks** Contrary to N modeling, here we test a pressure and a shape effect that vary as a function of time. A linear variation in pressure leads to a linear variation in stresses. **Tested quantities and results** .. _DdeLink__14869_13307708113212111: .. _DdeLink__14869_133077081132121111: .. _DdeLink__14869_133077081114212111: .. _DdeLink__14869_1330770811142121111: .. _DdeLink__14869_13307708111112212111: .. _DdeLink__14869_133077081111122121111: .. _DdeLink__14869_133077081112122212111: .. _DdeLink__14869_1330770811121222121111: .. csv-table:: "**Location**", "**Size**", "**Reference Value**", "**Reference Type**", "**Tolerance**" "point :math:`>` ", "", "", "", "" "Instant 1.0", "Field DEPL, comp. :math:`>` ", "5.60 10-5", "'NON_DEFINI'", "0.1%" "Instant 1.0", "Field DEPL, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-10 (absolute)" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "—60. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "100. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "—120. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "200. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" ":math:`>` ", "", "", "", "" "Instant 1.0", "Field DEPL, comp. :math:`>` ", "3.4 10-5", "'NON_DEFINI'", "0.1%" "Instant 1.0", "Field DEPL, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-10 (absolute)" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "0.1 (absolute)" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "0.1 (absolute)" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "80. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "0. ", "'NON_DEFINI'", "1E-4 (absolute)" ":math:`>` ", "", "", "", "" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "2%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "2%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "—80. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "2%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "2%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "—160. ", "'NON_DEFINI'", "1%" ":math:`>` ", "", "", "", "" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "20. ", "'NON_DEFINI'", "1%" "Instant 1.0", "Field SIGM_NOEU, comp. :math:`>` ", "-20. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "40. ", "'NON_DEFINI'", "1%" "Instant 2.0", "Field SIGM_NOEU, comp. :math:`>` ", "-40. ", "'NON_DEFINI'", "1%" **Summary of results** **Summary of max errors in %** .. csv-table:: "**3D**", "**Location**", "**mod A**", "**mod A**", "**mod B**", "**mod D**", "**mod L**", "**mod M**", "**mod M**", "**mod N**", "**mod P**" "elem", "", "pe6, h8", "pe15, h8", "pe15, h20", "te4", "te10", "py5", "py13", "pe15, h20", "pe15, h20", "pe15, h20" "geom", "", "45°", "45°", "45°", "45°", "45°", "45°", "360°", "360°", "360°" "nb no", "", "1922", "2115", "2115", "1115", "1395", "342", "1703", "8832", "8832" "Depl. ", "A, E B, F", "0.08 0.10", "0.09 0.07", "0.17 0.30", "0.04 0.04", "0.21 0.16", "0.00 0.00", "0.00 0.00", "0.00 0.00" ":math:`>` ", "A, E B, F", "4.59 5.24", "0.39 0.07", "10.45 7.78", "4.41 0.95", "11.74 5.24", "0.11 0.11", "1.64 0.09", "1.64 0.09" ":math:`>` ", "A, E B, F", "5.70 1.89", "0.92 0.01", "9.46 2.46", "1.80 0.49", "57.57 4.75", "0.81 0.08", "1.64 0.09", "1.64 0.09" ":math:`>` ", "A, E B, F", "Good Good", "Good Good", "Good Good", "Good Good", "Good Good", "Good Good", "0.87 0.04", "0.87 0.04" ":math:`>` ", "A, E B, F", "0.15 0.90", "0.26 0.06", "2.89 0.81", "0.27 0.28", "3.46 4.95", "0.07 0.09", "0.03 0.01", "0.03 0.01" .. csv-table:: "**C_PLAN**", "**Location**", "**mod E**", "**mod F**", "**mod G**", "**mod O**" "Type of elements", "", "tria3, quad4", "tria6, quad8", "quad9", "tria6, quad8" "Modeled geometry", "", "45°", "45°", "45°", "45°", "360°" "Number of nodes", "", "961", "961", "591", "441", "384" "Travel", "A, E B, F", "0.07 0.09", "0.09 0.07", "0.00 0.00", "0.01 0.00" "Constraints :math:`>` ", "A, E B, F", "4.65 5.19", "0.39 0.06", "0.27 0.02", "1.44 0.08" "Constraints :math:`>` ", "A, E B, F", "5.68 1.40", "0.90 0.04", "0.16 0.05", "1.44 0.08" "Constraints :math:`>` ", "A, E B, F", "Good Good", "Good Good", "Good Good", "Good Good" "Constraints :math:`>` ", "A, E B, F", "0.16 1.23", "0.23 0.07", "0.20 0.09", "0.10 0.00" .. csv-table:: "**AXIS**", "**Location**", "**mod H**", "**mod I**", "**mod J**" "Type of elements", "", "tria3, quad4", "tria6, quad8", "quad9" "Number of nodes", "", "113", "113", "175", "205" "Travel", "A, E B, F", "0.01 0.01", "0.00 0.00", "0.00 0.00" "Constraints :math:`>` ", "A, E B, F", "5.66 Good", "0.17 Good", "0.17 Good" "Constraints :math:`>` ", "A, E B, F", "Good Good", "Good Good", "Good Good" "Constraints :math:`>` ", "A, E B, F", "1.29 1.00", "0.09 0.07", "0.09 0.02" "Constraints :math:`>` ", "A, E B, F", "Good Good", "Good Good", "Good Good" * The results are more accurate with items of order 2. * The problem is more suited to axisymmetric modeling. The results are better. * The meshes remain insufficient for 3D elements of order 1: constraints and deformations of the A, C, E and L models (especially for the L modeling in PYRAM5). * Pyramids give results similar to other 3D elements, with equivalent meshes. * N and P models with constant or variable shape effect and pressure give good results.