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


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

Same as modeling A, but treating geometric nonlinearities with the keyword COMPORTEMENT option PETIT_REAC.


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


.. csv-table::

    "Number of nodes:", "2091"
    "Number of meshes and types:", "368 HEXA20, 28 PENTA15"
    "", "92 QUAD8, 7 TRIA6"



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


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**"
    "", "", "", ""
    "Arrow :math:`\mathrm{w0}` :math:`(\mathrm{mm})` ", "—1.441838E—3", "—1.3692E—3", "—5.036"
    "SIXX :math:`(\mathrm{MPa})` center, half—thickness", "3850.9", "4219.3", "9.568"
    "SIYY :math:`(\mathrm{MPa})` center, half—thickness", "3850.9", "4219.4", "9.569"
    "SIXX :math:`(\mathrm{MPa})` center, lower skin", "8133.6", "7950.5", "—2.251"
    "SIYY :math:`(\mathrm{MPa})` center, lower skin", "8133.6", "7950.5", "—2.252"
    "SIXX :math:`(\mathrm{MPa})` :math:`r=R/2`, half—thickness", "3512.8", "3838.4", "9.268"
    "SIYY :math:`(\mathrm{MPa})` :math:`r=R/2`, half—thickness", "2947.5", "3314.2", "12.440"
    "SIXX :math:`(\mathrm{MPa})` :math:`r=R/2`, lower skin", "7815.7", "7593.9", "—2.839"
    "SIYY :math:`(\mathrm{MPa})` :math:`r=R/2`, lower skin", "7307.0", "7123.7", "—2.509"



notes
---------

There is a significant gap between the reference solution and the solution provided by*Code_Aster*.

It is verified that this difference tends to 0 when the number of increments is increased.