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


Geometry
---------


.. image:: images/100002010000025A0000028F556CC108A0407A87.png
    :width: 2.9736in
    :height: 3.2366in


.. _RefImage_100002010000025A0000028F556CC108A0407A87.png:

We consider 4 values of angle :math:`\theta`: 15°, 30°, 45° and 60°.

The other dimensions are chosen such as :math:`H=\mathrm{2W}=\mathrm{4a}`.

The value of :math:`a` is :math:`1.E-3m`.


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

**Material #1**

Elastic, linear, isotropic, Young's modulus :math:`{E}_{1}\mathrm{=}2E+12\mathit{Pa}` and Poisson's ratio :math:`{\nu }_{1}\mathrm{=}\mathrm{0,3}`.

**Material #2**

Elastic, linear, isotropic, Young's modulus :math:`{E}_{2}=2E+11\mathrm{Pa}` and Poisson's ratio :math:`{\nu }_{2}=\mathrm{0,3}`.


Boundary conditions and loading
------------------------------------


* Rigid modes are blocked by the following boundary conditions:

:math:`\mathrm{UX}=\mathrm{UY}=0` at the bottom left corner of the template.

:math:`\mathrm{UY}=0` on the bottom edge.


* Charging: uniform tension :math:`{\sigma }_{\mathrm{yy}}={\sigma }_{0}` on the top edge.

The value of :math:`{\sigma }_{0}` is :math:`100\mathrm{MPa}`.