Modeling A
==============


Modelling characteristics: d-plan (QUAD4 + TRIA3)
------------------------------------------------------------


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    :width: 529
    :height: 321


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.. csv-table::

    "Boundary conditions:", ""
    "side :math:`\mathrm{AB}` "," DDL_IMPO = (GROUP_NO = bordAB DY = 0.)"
    "side :math:`\mathrm{EF}` "," FACE_IMPO = (GROUP_MA = faceEF DNOR = 0.)"
    "press on the face :math:`\mathrm{AE}` "," PRES_REP = (GROUP_MA = faceAE PRES = 60.)"



.. csv-table::

    "Node names:", ":math:`A=\mathrm{N23}` "," :math:`B=\mathrm{N1}` "," :math:`C=\mathrm{N391}`"
    "", ":math:`D=\mathrm{N369}` "," :math:`E=\mathrm{N451}` "," :math:`F=751`"



Characteristics of the mesh
----------------------------

Number of knots: 759

Number of meshes and types: 704 TRIA3, 352 QUAD4


Tested sizes and results
------------------------------


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.. csv-table::

    "**Location**", "**Size**", "**V** **Reference value**", "**Reference type**", "**Tolerance**"
    "point :math:`A` ", "", "", "", ""
    "", "Field DEPL, comp. :math:`X` ", "5.7210-5", "'ANALYTIQUE'", "1%"
    "", "Field DEPL, comp. :math:`Y` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXX}` ", "—60. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIYY}` ", "100. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIZZ}` ", "12. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXY}` ", "0. ", "'ANALYTIQUE'", "2 (absolute)"
    ":math:`B` ", "", "", "", ""
    "", "Field DEPL, comp. :math:`X` ", "3.6410-5", "'ANALYTIQUE'", "1%"
    "", "Field DEPL, comp. :math:`Y` ", "0. ", "'ANALYTIQUE'", "1E-10 (absolute)"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXX}` ", "0. ", "'ANALYTIQUE'", "2 (absolute)"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIYY}` ", "40. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIZZ}` ", "12. ", "'ANALYTIQUE'", "8%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXY}` ", "0. ", "'ANALYTIQUE'", "1 (absolute)"
    ":math:`C` ", "", "", "", ""
    "", "Field DEPL, comp. :math:`X` ", "5.2845910—5", "'ANALYTIQUE'", "1%"
    "", "Field DEPL, comp. :math:`Y` ", "2.1889510—5", "'ANALYTIQUE'", "1%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXX}` ", "-36.56854", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIYY}` ", "76.56854", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIZZ}` ", "12. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXY}` ", "-56.56854", "'ANALYTIQUE'", "5%"
    ":math:`D` ", "", "", "", ""
    "", "Field DEPL, comp. :math:`X` ", "3.3629210—5", "'ANALYTIQUE'", "1%"
    "", "Field DEPL, comp. :math:`Y` ", "1.3929710—5", "'ANALYTIQUE'", "1%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXX}` ", "5.85786", "'ANALYTIQUE'", "20%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIYY}` ", "34.14214", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIZZ}` ", "12. ", "'ANALYTIQUE'", "1%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXY}` ", "-14.14213", "'ANALYTIQUE'", "8%"
    ":math:`E` ", "", "", "", ""
    "", "Field DEPL, comp. :math:`X` ", "4.0446510—5", "'ANALYTIQUE'", "1%"
    "", "Field DEPL, comp. :math:`Y` ", "4.0446510—5", "'ANALYTIQUE'", "1%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXX}` ", "20. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIYY}` ", "20. ", "'ANALYTIQUE'", "6%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIZZ}` ", "12. ", "'ANALYTIQUE'", "1%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXY}` ", "-80. ", "'ANALYTIQUE'", "5%"
    ":math:`F` ", "", "", "", "'ANALYTIQUE'", ""
    "", "Field DEPL, comp. :math:`X` ", "2.5738710—5", "'ANALYTIQUE'", "1%"
    "", "Field DEPL, comp. :math:`Y` ", "2.5738710—5", "'ANALYTIQUE'", "1%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXX}` ", "20. ", "'ANALYTIQUE'", "7%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIYY}` ", "20. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIZZ}` ", "12. ", "'ANALYTIQUE'", "5%"
    "", "Field SIGM_NOEU, comp. :math:`\mathit{SIXY}` ", "-20. ", "'ANALYTIQUE'", "5%"



notes
---------

The increase in the error, when we go from :math:`\mathrm{AB}` to :math:`\mathrm{CD}` and then :math:`\mathrm{EF}`, is due to the mesh (element density QUAD4 lower than in TRIA3).