Modeling A ============== Characteristics of modeling ----------------------------------- 3D modeling .. image:: images/100000000000029A000001E88B204A92E8483A5D.png :width: 3.9311in :height: 3.1591in .. _RefImage_100000000000029A000001E88B204A92E8483A5D.png: Loading and boundary conditions are modelled by: * Dirichlet condition (keyword DDL_IMPO): * Node :math:`\mathrm{N04}`, :math:`x=y=0`, * Node :math:`\mathrm{N08}`, :math:`x\mathrm{=}y\mathrm{=}z\mathrm{=}0`, * Node :math:`\mathrm{N02}`, :math:`x=0`, * Node :math:`\mathrm{N06}`, :math:`x=0`. * Neumann condition, surface forces (keyword FORCE_FACE): * on the faces (skin elements): :math:`(\mathrm{1,}\mathrm{5,}\mathrm{6,}2)`, :math:`(\mathrm{1,}\mathrm{5,}\mathrm{7,}3)`,, :math:`(\mathrm{3,}\mathrm{4,}\mathrm{8,}7)` and :math:`(\mathrm{4,}\mathrm{8,}\mathrm{6,}2)`. Characteristics of the mesh ---------------------------- Number of knots: 8 Number of meshes and types: 1 HEXA8, 4 QUAD4 Tested sizes and results ------------------------------ Case of VMIS_ISOT_LINE ~~~~~~~~~~~~~~~~~~~~~~~ .. csv-table:: "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**" ":math:`{\sigma }_{\mathrm{xx}}` at the moment :math:`A` ", "'ANALYTIQUE'", "1,512E+002"," 0.1%" ":math:`{\sigma }_{\mathrm{xy}}` at the moment :math:`A` ", "'ANALYTIQUE'", "9,310E+001"," 0.1%" ":math:`p` at the moment :math:`A` ", "'ANALYTIQUE'", "2.0547E-002"," 0.1%" "Triaxiality rate :math:`\mathit{TRIAX}` at time :math:`A` ", "'ANALYTIQUE'", "2.2800E-001"," 0.1%" ":math:`{\varepsilon }_{\mathrm{xx}}` at the moment :math:`A` ", "'ANALYTIQUE'", "1.48297E-002"," 0.1%" ":math:`{\varepsilon }_{\mathrm{xy}}` at the moment :math:`A` ", "'ANALYTIQUE'", "1.36014E-002"," 0.1%" ":math:`{\varepsilon }_{\mathrm{xx}}^{p}` at the moment :math:`A` ", "'ANALYTIQUE'", "1.40543E-002"," 0.1%" ":math:`{\varepsilon }_{\mathrm{xy}}^{p}` at the moment :math:`A` ", "'ANALYTIQUE'", "1.29807E-002"," 0.1%" ":math:`p` at the moment :math:`B` ", "'ANALYTIQUE'", "4,23293E-002"," 1.0%" "Triaxiality rate :math:`\mathit{TRIAX}` at time :math:`B` ", "'ANALYTIQUE'", "3.25349E-001"," 0.1%" ":math:`{\varepsilon }_{\mathit{xx}}` at the moment :math:`B` ", "'ANALYTIQUE'", "3,5265E-002"," 1,0%" ":math:`{\varepsilon }_{\mathit{xy}}` at the moment :math:`B` ", "'ANALYTIQUE'", "2,0471E-002"," 1.0%" ":math:`{\varepsilon }_{\mathit{xx}}^{p}` at the moment :math:`B` ", "'ANALYTIQUE'", "3,3946E-002"," 1.0%" ":math:`{\varepsilon }_{\mathit{xy}}^{p}` at the moment :math:`B` ", "'ANALYTIQUE'", "2,0250E-002"," 1.0%" as well as the charge-discharge indicators: .. csv-table:: "**Identification**", "**Reference Type**", "**Value**", "**Tolerance**" "INDIC_ENER at the moment :math:`A` ", "'ANALYTIQUE'", "0"," 0.1%" "INDIC_ENER at the moment :math:`B` ", "'ANALYTIQUE'", "3,26E-002"," 3,0%" "INDIC_SEUIL at the moment :math:`A` ", "'ANALYTIQUE'", "0"," 0.1%" "INDIC_SEUIL at the moment :math:`B` ", "'ANALYTIQUE'", "3,26E-002"," 3,0%" "INDIC_ENER at the moment :math:`C` (full discharge)", "'ANALYTIQUE'", "4,69E-002"," 3,0%" "INDIC_SEUIL at time :math:`C` (full discharge)", "'ANALYTIQUE'", "1.0"," 1.0%" "DERA_ELNO/RADI_Và the moment 0.1", "'ANALYTIQUE'", "0.0"," 1.0%" Case of VMIS_ECMI_LINE ~~~~~~~~~~~~~~~~~~~~~~~ We only calculate the energies, and we compare with case VMIS_ISOT_LINE: .. csv-table:: "**Identification**", "**Reference Type**", "**Value**", "**Tolerance**" "ETOT_ELGA/TOTALE at the moment 0.1", "'AUTRE_ASTER'", "1.16403E-03"," 0.1%" "ETOT_ELGA/TOTALE at the moment 0.9", "'AUTRE_ASTER'", "1.84340"," 0.1%" "ETOT_ELGA/TOTALE at the moment 2.0", "'AUTRE_ASTER'", "9.58487"," 0.1%" "ETOT_ELGA/TOTALE at the moment 3.0", "'AUTRE_ASTER'", "9.40794"," 0.1%" "ETOT_ELNO/TOTALE at the moment 0.1", "'AUTRE_ASTER'", "1.16403E-03"," 0.1%" "ETOT_ELNO/TOTALE at the moment 0.9", "'AUTRE_ASTER'", "1.84340"," 0.1%" "ETOT_ELNO/TOTALE at the moment 2.0", "'AUTRE_ASTER'", "9.58487"," 0.1%" "ETOT_ELNO/TOTALE at the moment 3.0", "'AUTRE_ASTER'", "9.40794"," 0.1%" "ETOT_ELEM/TOTALE at the moment 0.1", "'AUTRE_ASTER'", "1.16403E-03"," 0.1%" "ETOT_ELEM/TOTALE at the moment 0.9", "'AUTRE_ASTER'", "1.84340"," 0.1%" "ETOT_ELEM/TOTALE at the moment 2.0", "'AUTRE_ASTER'", "9.58487"," 0.1%" "ETOT_ELEM/TOTALE at the moment 3.0", "'AUTRE_ASTER'", "9.40794"," 0.1%" "ETOT_NOEU/TOTALE at the moment 3.0", "'AUTRE_ASTER'", "9.40650"," 0.1%" Case of DERA_ELxx ~~~~~~~~~~~~~~~~~ The discharge DCHA_V and radiality loss DCHA_R indicators are tested in mesh :math:`\mathit{CUBE}`: * at the first Gauss point (DERA_ELGA), * at node :math:`{N}_{2}` (DERA_ELNO). .. csv-table:: "**Identification**", "**Reference Type**", "**Value**", "**Tolerance**" "DERA_ELGA/DCHA_Và increment 2", "'NON_REGRESSION'", "3.07692E-1"," 0.10%" "DERA_ELNO/DCHA_Và increment 2", "'NON_REGRESSION'", "3.07692E-1"," 0.10%" "DERA_ELGA/RADI_Và the 2" increment, "'NON_REGRESSION'", "0.0"," 0.10%" We test in mesh :math:`\mathit{CUBE}` at Gauss point 1: * The discharge indicator IND_DCHA, which allows you to know if the discharge remains elastic or if there would be a risk of plastification if pure kinematic work hardening was used, * Indicator VAL_DCHA which indicates the proportion of criteria output. +------------------+----------------------+------------------+---------+-------------+ |**Identification** |**Reference type**|**Value**|**Tolerance**| +------------------+----------------------+------------------+---------+-------------+ |DERA_ELGA |IND_DCHAà increment 10|'NON_REGRESSION' |2 |0.10% | + +----------------------+------------------+---------+-------------+ | |VAL_DCHAà increment 10|'NON_REGRESSION' |0.0 |0.001 | + +----------------------+------------------+---------+-------------+ | |IND_DCHAà increment 12|'NON_REGRESSION' |-1 |0.10% | + +----------------------+------------------+---------+-------------+ | |VAL_DCHAà increment 12|'NON_REGRESSION' |0.0 |0.001 | + +----------------------+------------------+---------+-------------+ | |IND_DCHAà increment 14|'NON_REGRESSION' |-2 |0.10% | + +----------------------+------------------+---------+-------------+ | |VAL_DCHAà increment 14|'NON_REGRESSION' |1.057898 |0.10% | + +----------------------+------------------+---------+-------------+ | |IND_DCHAà increment 52|'NON_REGRESSION' |-2 |0.10% | + +----------------------+------------------+---------+-------------+ | |VAL_DCHAà increment 52|'NON_REGRESSION' |1.057898 |0.10% | +------------------+----------------------+------------------+---------+-------------+