G modeling
==============




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

Pure shear in plane damaging elastoplastic behavior (GLRC_DM + Von Mises).


.. image:: images/1000020000000185000001247AE3C160D597CB98.png
    :width: 3.1366in
    :height: 2.3764in


.. _RefImage_1000020000000185000001247AE3C160D597CB98.png:

Figure 9.1-a: mesh

Modeling: DKTG. :math:`L=1.0m`.

Boundary conditions (see figure below):


.. image:: images/10000200000001560000011E75CDCBC69F3814A3.png
    :width: 2.8783in
    :height: 2.0272in


.. _RefImage_10000200000001560000011E75CDCBC69F3814A3.png:

Figure 9.1-b: boundary conditions


* we impose an embedding in :math:`{A}_{1}`,


* :math:`{u}_{x}={D}_{0}\cdot y,{u}_{y}=0` on edge :math:`{A}_{1}-{A}_{3}`, :math:`{u}_{x}=0`, :math:`{u}_{y}={D}_{0}\cdot x` and :math:`\mathrm{DRY}=0.0` on edge :math:`{A}_{1}-{A}_{2}`,


* :math:`{u}_{x}={D}_{0}\cdot y,{u}_{y}={D}_{0}\cdot L` and on edge :math:`{A}_{2}-{A}_{4}`, :math:`{u}_{x}={D}_{0}\cdot L,{u}_{y}={D}_{0}\cdot x` on edge :math:`{A}_{3}-{A}_{4}`,

where :math:`{D}_{0}=1.1{10}^{-4}\cdot f(t)`, and :math:`f(t)` represent the amplitude of the cyclic loading as a function of the (pseudo-time) parameter :math:`t`, defined as (integration increment: :math:`5.0\times {10}^{-5}`):


.. image:: images/10000000000001F8000001201AA96929C8D1ABF2.png
    :width: 5.2508in
    :height: 3.0008in


.. _RefImage_10000000000001F8000001201AA96929C8D1ABF2.png:




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

Number of knots: 121.

Number of stitches: 200 TRIA3; 40 SEG2.




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


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference values**", "**tolerance**"
    "To :math:`t=\mathrm{0,25}` ", "", "", ""
    "*Movement* :math:`\mathrm{DY}` *in* :math:`\mathrm{A4}` "," AUTRE_ASTER "," 0", "2.5 10-1"
    "*Membrane effort* :math:`{N}_{\mathrm{yy}}` *en* :math:`\mathrm{A4}` "," AUTRE_ASTER ", "0", "5 10-2"
    "To :math:`t=\mathrm{1,0}` ", "", "", ""
    "*Membrane effort* :math:`{N}_{\mathrm{yy}}` *en* :math:`\mathrm{A4}` "," NON_REGRESSION "," ", "3353.497694", "1.0 10-4"
    "To :math:`t=\mathrm{2,0}` ", "", "", ""
    "*Movement* :math:`\mathrm{DX}` *en* :math:`\mathrm{A4}` "," NON_REGRESSION "," ", "-0.2487559789", "1.0 10-4"
    "Membrane force :math:`{N}_{\mathrm{yy}}` *en* :math:`\mathrm{A4}` "," NON_REGRESSION "," ", "0.2670950681", "1.0 10-4"
    "To :math:`t=\mathrm{2,0}` ", "", "", ""
    "*Membrane effort* :math:`{N}_{\mathrm{yy}}` *en* :math:`\mathrm{A4}` "," NON_REGRESSION "," ", "-2577.113397", "1.0 10-4"
    "To :math:`t=\mathrm{3,0}` ", "", "", ""
    "*Membrane effort* :math:`{N}_{\mathrm{yy}}` *en* :math:`\mathrm{A4}` "," NON_REGRESSION "," ", "25.02051934", "1.0 10-4"



.. _refheading__373859461: