Reference problem
=====================


Geometry
---------

Square plate


.. image:: images/10000B88000018E80000103A6C0E626E2B03DEAA.svg
    :width: 309
    :height: 190


.. _RefImage_10000B88000018E80000103A6C0E626E2B03DEAA.svg:


Material properties
-----------------------

The isotropic elastic parameters of the model are:

:math:`E=178600\mathrm{MPa}` :math:`\nu =0.3`

Lemaître viscoelastic behavior relationship

:math:`n=11` :math:`\frac{1}{K}={3.28410}^{\text{-4}}` (:math:`K=3045`) :math:`\frac{1}{m}=0.17857` (:math:`m=5.6`)

Behavioral relationship VISC_ENDO_LEMA (no damage) :math:`{A}_{D}=100000.0`

Behavioral relationship VISC_TAHERI (no plasticity)

:math:`{R}_{0}=0.001` :math:`\alpha =0`, :math:`M=1`, :math:`A=0`, :math:`B=0`,, :math:`{C}_{1}=0`, :math:`{C}_{\mathrm{INF}}=0`, :math:`S=900`


Boundary conditions and loads
-------------------------------------

In :math:`A`: :math:`{u}_{x}={u}_{y}=0`

On the :math:`\mathrm{AB}` side: :math:`{u}_{x}=0`

Loading below: Routes :math:`\mathrm{OA}` and :math:`\mathrm{AB}`, lasting 30 seconds,

Hold time in :math:`A` and :math:`B` of 3600 seconds.

B (0.420)

A (210,210)
:math:`{\sigma }_{d}(\mathrm{MPa})` :math:`\sqrt{(3)}{\tau }_{d}(\mathit{MPa})`