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


Geometry
---------


.. image:: images/1000000000000510000001E058D6A2734FEAF5E1.png
    :width: 6.889in
    :height: 2.4626in


.. _RefImage_1000000000000510000001E058D6A2734FEAF5E1.png:

Point coordinates:


.. csv-table::

    ":math:`\mathrm{N1}` :math:`(\mathrm{0,0}\mathrm{,0})` "," :math:`\mathrm{N87}` :math:`(\mathrm{0,7071}\mathrm{,0}.7071\mathrm{,0})`"
    "", ""
    ":math:`\mathrm{N28}` :math:`(\mathrm{0,7071}\mathrm{,0}\mathrm{,0})` "," :math:`\mathrm{N60}` :math:`(\mathrm{0,0}.7071\mathrm{,0})`"



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

The material is a bilayer.

The material constituting the first layer is orthotropic and is characterized by the following data:


.. csv-table::

    ":math:`\mathrm{EL}=6800.\mathrm{Pa}` "," :math:`\mathrm{ET}=\mathrm{6800.Pa}` "," :math:`\mathrm{VLT}=0.35` "," :math:`\mathrm{GLT}=\mathrm{2530.Pa.}`"


The material constituting the second layer is also orthotropic and is characterized by the following data:


.. csv-table::

    ":math:`\mathrm{EL}=\mathrm{14000.Pa}` "," :math:`\mathrm{ET}=\mathrm{14000.Pa}` "," :math:`\mathrm{VLT}=0.144` "," :math:`\mathrm{GLT}=\mathrm{2070.Pa.}`"



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

Side :math:`\mathrm{N1N28}` (:math:`\mathrm{GRN011}`) is embedded:


.. csv-table::

    ":math:`\mathrm{dx}=0.` "," :math:`\mathrm{dy}=0.` "," :math:`\mathrm{dz}=0.`"
    "", "", ""
    ":math:`\mathrm{dRx}=0.` "," :math:`\mathrm{dRy}=0.` "," :math:`\mathrm{dRz}=0.`"


The degrees of freedom :math:`\mathrm{dx}` and :math:`\mathrm{dy}` of the nodes on the side :math:`\mathrm{N80N60}` (:math:`\mathrm{GROUPNO}\mathrm{GRN013}`) are imposed at the following values:


.. math::
: label: EQ-None

    \ mathrm {xx} =0.07071m