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


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


.. image:: images/10000600000016A20000154A63031C6B19784B8A.svg
    :width: 292
    :height: 274


.. _RefImage_10000600000016A20000154A63031C6B19784B8A.svg:


.. csv-table::

    "Face mesh name:", ":math:`\mathrm{ZEGAL0}` "," :math:`\mathrm{YEGAL0}` "," "," :math:`\mathrm{YEGAL1}` "," :math:`\mathrm{XEGAL0}` "," :math:`\mathrm{XEGAL1}`"
    "Summits:", ":math:`BCOA` "," :math:`OA\mathrm{N2}\mathrm{N4}` "," "," :math:`BC\mathrm{N6}\mathrm{N8}` "," :math:`CO\mathrm{N4}\mathrm{N6}` "," :math:`AB\mathrm{N8}\mathrm{N2}`"


Boundary conditions:


.. csv-table::

    "Thermal:", "ZERO: DEFI_CONSTANTE (VALE: 0.0);
    FCT1: DEFI_FONCTION (Para_name: 'Z', VALE: (0.0 0.0 1.0 1.0));
    GROUP_NO: XEGAL0: TEMP: 0.0
    PRE_GRAD_TEMP: FLUX_X: -1.0"
    "Mechanics:", "GROUP_NO: YEGALO: DY=0.0
    XEGAL1: DX = 0.0
    YEGAL1: DY = 0.0
    XEGALO: DZ = 0.0"
    "Membrane case:", "GROUP_NO: ZEGALO: DZ = 0.0
    PRE_EPSI: EPXX: -1.0"
    "Bending case:", "GROUP_NO: ZEGALO:: DX = ZERO, DY = ZERO
    NOEUD: 0 DZ = ZERO
    PRE_EPSI: EPXX: FCT1"



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

Number of knots: 20

Number of meshes and types: 1 HEXA20


Tested values
---------------

In isotropic elasticity


.. csv-table::

    "**Case**", "**Size**", "**Point**", "**Reference**"
    "Thermal", ":math:`\mathrm{temp}` "," :math:`\mathrm{N8}` ", "—1.000000"
    "", ":math:`\mathrm{temp}` "," :math:`\mathrm{N3}` ", "—0.500000"
    "Mechanics", ":math:`\mathrm{dz}` "," :math:`\mathrm{N4}` ", "—7.03285714"
    "membrane", ":math:`\mathrm{dz}` "," :math:`\mathrm{N8}` ", "—7.03285714"
    "Mechanics", ":math:`\mathrm{dz}` "," :math:`\mathrm{N4}` ", "57.70459285"
    "flexure", ":math:`\mathrm{dz}` "," :math:`\mathrm{N8}` ", "57.70459285"



.. csv-table::

    "**Mesh**", "**Energy**
    **potential**
    **at balance**", "**Reference**"
    ":math:`\mathrm{M1}` ", "Thermal", "—8.20500"
    ":math:`\mathrm{M1}` ", "Mechanics
    Membrane
    Flexion", "—2.0287088
    —1.8210238 102"


In orthotropic elasticity


.. csv-table::

    "**Case**", "**Size**", "**Point**", "**Reference**"
    "Thermal", ":math:`\mathrm{temp}` "," :math:`\mathrm{N8}` ", "—1.000000"
    "", ":math:`\mathrm{temp}` "," :math:`\mathrm{N3}` ", "—0.500000"
    "Mechanics", ":math:`\mathrm{dz}` "," :math:`\mathrm{N4}` ", "— 6.63044894"
    "membrane", ":math:`\mathrm{dz}` "," :math:`\mathrm{N8}` ", "— 6.63044894"
    "Mechanics", ":math:`\mathrm{dz}` "," :math:`\mathrm{N4}` ", "54.40283358"
    "flexure", ":math:`\mathrm{dz}` "," :math:`\mathrm{N8}` ", "54.40283358"



.. csv-table::

    "**Mesh**", "**Energy**
    **potential**
    **at balance**", "**Reference**"
    ":math:`\mathrm{M1}` ", "Thermal", "—8.20500"