B modeling
==============

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

Mesh: the mesh is composed of a QUAD4 mesh with four nodes (:math:`\mathit{N1}`, :math:`\mathit{N2}`, :math:`\mathit{N3}` and :math:`\mathit{N4}`).


.. image:: images/10000200000001880000018ABBFB2B5701EF7D1E.png
    :width: 2.6634in
    :height: 2.5945in


.. _RefImage_10000200000001880000018ABBFB2B5701EF7D1E.png:


.. image:: images/1000000000000270000002902F67A4BE09F6D24C.png
    :width: 2.4925in
    :height: 2.6445in


.. _RefImage_1000000000000270000002902F67A4BE09F6D24C.png:

For each mesh, there are 4 integration points:

• Node group :math:`\mathit{ENC}` is composed of nodes :math:`\mathit{N1}` and :math:`\mathit{N2}`

• Node group :math:`\mathit{CHA}` is composed of nodes :math:`\mathit{N3}` and :math:`\mathit{N4}`


Characteristics of modeling
-----------------------------------

Modeling:

MO= AFFE_MODELE (MAILLAGE =MA,

 AFFE =_F (TOUT =' OUI ', PHENOMENE =' MECANIQUE',

     MODELISATION =' DST ',),)

Boundary conditions:

BLOCAGE = AFFE_CHAR_MECA (MODELE =MO,

 DDL_IMPO =_F (GROUP_NO =' ENC ',

     DX=0.0, DY=0.0, DZ=0.0, DRX =0.0, =0.0, DRY =0.0, DRZ =0.0,),

)

Mechanical loading:

CHARGE = AFFE_CHAR_MECA (MODELE =MO,

 FORCE_NODALE =_F (GROUP_NO =' CHA ', FX=0, FX=0, FZ=-100. ),

)

Assignment of the characteristics of the elements:

PLAQUE = AFFE_CARA_ELEM (MODELE =MO,

 COQUE =_F (GROUP_MA =( 'PLA'), EPAIS = 0.5, COQUE_NCOU = 4,),

)


Tested values and results
----------------------------

.. csv-table::

    "Coordinated
    mesh QUA1 ", "Point
    integration", "sub-point", "**Reference**"
    "COOR_X ", "1", "1", "1", "0.204941012"
    "COOR_X ", "1", "2", "0.232004306"
    "COOR_X ", "1", "3", "3", "0.2590676"
    "COOR_X ", "1", "4", "0.2590676"
    "COOR_X ", "1", "5", "5", "0.286130894"
    "COOR_X ", "1", "6", "6", "0.313194187"
    "COOR_X ", "1", "7", "7", "0.313194187"
    "COOR_X ", "1", "8", "8", "0.340257481"
    "COOR_X ", "1", "9", "9", "0.367320775"
    "COOR_X ", "1", "10", "0.367320775"
    "COOR_X ", "1", "11", "0.394384069"
    "COOR_X ", "1", "12", "0.421447363"
    "COOR_Y ", "1", "1", "1", "0.490331216"
    "COOR_Y ", "1", "2", "2", "0.443456216"
    "COOR_Y ", "1", "3", "3", "0.396581216"
    "COOR_Y ", "1", "4", "4", "0.396581216"
    "COOR_Y ", "1", "5", "5", "0.349706216"
    "COOR_Y ", "1", "6", "6", "0.302831216"
    "COOR_Y ", "1", "7", "7", "0.302831216"
    "COOR_Y ", "1", "8", "8", "0.255956216"
    "COOR_Y ", "1", "9", "9", "0.209081216"
    "COOR_Y ", "1", "10", "0.209081216"
    "COOR_Y ", "1", "11", "0.162206216"
    "COOR_X ", "1", "12", "0.115331216"
    "COOR_Z ", "1", "1", "1", "0.058012702"
    "COOR_Z ", "1", "2", "0.089262702"
    "COOR_Z ", "1", "3", "3", "0.120512702"
    "COOR_Z ", "1", "4", "4", "0.120512702"
    "COOR_Z ", "1", "5", "5", "0.151762702"
    "COOR_z ", "1", "6", "6", "0.183012702"
    "COOR_Z ", "1", "7", "7", "0.183012702"
    "COOR_Z ", "1", "8", "8", "0.214262702"
    "COOR_z ", "1", "9", "0.245512702"
    "COOR_Z ", "1", "10", "0.245512702"
    "COOR_Z ", "1", "11", "0.276762702"
    "COOR_Z ", "1", "12", "0.308012702"


Tolerance is :math:`1.0E-03` for all tests.