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


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


.. image:: images/1000068E00001B63000017AB3D137CA7BDA6AF2A.svg
    :width: 353
    :height: 305


.. _RefImage_1000068E00001B63000017AB3D137CA7BDA6AF2A.svg:

Loading and boundary conditions are modelled by:

On node N04, DX=DY=0

On node N08, DX=DY=DZ=0

On node N02, DX=0.

On node N06, DX=0.

A nodal force is imposed on:

(N01 N03 N05 N07), :math:`\mathit{FX}=-\text{}\frac{1}{4}{\sigma }_{d}(t)`, :math:`\mathit{FY}=-\text{}\frac{1}{4}{\tau }_{d}(t)`

(N03 N04 N07 N08), :math:`\mathit{FX}=-\text{}\frac{1}{4}{\tau }_{d}(t)`

(N02 N04 N06 N08), :math:`\mathit{FY}=\frac{1}{4}{\tau }_{d}(t)`

(N01 N02 N05 N06), :math:`\mathit{FX}=\frac{1}{4}{\tau }_{d}(t)`

The mechanical calculation is carried out with VonMises's elasto-plastic behavior law with linear kinematic work hardening (keyword 'RELATION = META_P_CL').


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


.. csv-table::

    "Number of knots:", "8"
    "Number of meshes and type:", "1 HEXA8, 4 QUAD4"



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


.. csv-table::

    "**Variables**", "**Moments (** :math:`s` **)**", "**Reference Type**", "**Reference**", "**% tolerance**"
    ":math:`{\sigma }_{\mathit{xx}}` ", "1"," AUTRE_ASTER ", "151.2"," :math:`{1.E}^{-8}`"
    ":math:`{\sigma }_{\mathit{xy}}` ", "1"," AUTRE_ASTER ", "93.1"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{xx}}` ", "1"," AUTRE_ASTER ", "0.0148297136069"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{yy}}` ", "1"," AUTRE_ASTER ", "-0.00725977988037"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{xy}}` ", "1"," AUTRE_ASTER ", "0.0136014010824"," :math:`{1.E}^{-8}`"
    ":math:`{\sigma }_{\mathit{xx}}` ", "2"," AUTRE_ASTER ", "257.2"," :math:`{1.E}^{-8}`"
    ":math:`{\sigma }_{\mathit{xy}}` ", "2"," AUTRE_ASTER ", "33.1"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{xx}}` ", "2"," AUTRE_ASTER ", "0.0406564534069"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{yy}}` ", "2"," AUTRE_ASTER ", "-0.0200644318317"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{xy}}` ", "2"," AUTRE_ASTER ", "0.0198372954357"," :math:`{1.E}^{-8}`"
    ":math:`{\sigma }_{\mathit{xx}}` ", "3"," AUTRE_ASTER ", "4.67477798665E-13"," :math:`{1.E}^{-8}`"
    ":math:`{\sigma }_{\mathit{xy}}` ", "3"," AUTRE_ASTER ", "2.92922830899E-14"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{xx}}` ", "3"," AUTRE_ASTER ", "0.039337479048"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{yy}}` ", "3"," AUTRE_ASTER ", "-0.019668739524"," :math:`{1.E}^{-8}`"
    ":math:`{\epsilon }_{\mathit{xy}}` ", "3"," AUTRE_ASTER ", "0.019616628769"," :math:`{1.E}^{-8}`"