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


Geometry
---------

A square plate, made of an orthotropic material inclined by 30 degrees with respect to the :math:`\mathrm{AB}` edge.


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:

With :math:`b=1m`, any thickness (plane constraints), angle of orthotropy: :math:`\theta` = 30 degrees.


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

The properties of the materials constituting the plate are:

orthotropic elastic:

:math:`{E}_{L}=4.E10\mathrm{Pa}`

:math:`{E}_{T}=1.E10\mathrm{Pa}`

:math:`{G}_{LT}=0.45E10\mathrm{Pa}`

:math:`{G}_{\mathrm{TN}}=0.35E10\mathrm{Pa}`

:math:`{\mathit{NU}}_{LT}=0.3`

Axis :math:`L` is tilted by 30 degrees with respect to :math:`\mathrm{AB}`.


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


* At point :math:`A`: :math:`\mathrm{DX}=0`, :math:`\mathrm{DY}=0`


* At point :math:`B`: :math:`\mathrm{DX}=0`,


* Distributed line loading: :math:`\mathrm{Fx}={10}^{4}\mathrm{Pa}` on :math:`\mathrm{BC}`


* Distributed line loading: :math:`\mathrm{Fx}=-{10}^{4}\mathrm{Pa}` on :math:`\mathrm{DA}`


Initial conditions
--------------------

Not applicable.