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


Geometry
---------

**y**

 **e**

 0 **P**

 **x**

**z**

 **hy** **D**

 **L**

The dimensions of the structure are:

Length :math:`L=25m`

Width :math:`D=4m`

Thickness :math:`e=1m`


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

Young's module: :math:`E=10000.\mathrm{Pa}`

Poisson's ratio: :math:`\nu =0.25`

Tangent module: :math:`{E}_{T}=1000.\mathrm{Pa}`

Elastic limit: :math:`{\sigma }_{Y}=200.\mathrm{Pa}`


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

Embedded in plane :math:`x=0` (

.. image:: images/Object_1.svg
    :width: 109
    :height: 25


.. _RefImage_Object_1.svg:

). (side :math:`\mathrm{X0}`)


.. image:: images/Object_2.svg
    :width: 109
    :height: 25


.. _RefImage_Object_2.svg:

on all the nodes to simulate a state of plane deformation.

Shear stress

.. image:: images/Object_3.svg
    :width: 109
    :height: 25


.. _RefImage_Object_3.svg:

:

.. image:: images/Object_4.svg
    :width: 109
    :height: 25


.. _RefImage_Object_4.svg:

on side :math:`x=L`. (side :math:`\mathrm{XL}`)