Reference problem
====


Geometry
----

We consider a rectangular plate of height :math:`H\mathrm{=}2m`, width :math:`W\mathrm{=}1m`, in plane deformation, with an emerging horizontal crack of depth :math:`a\mathrm{=}\mathrm{0,1}m`.


.. image:: images/10000000000001D3000002F7C1DB5CCB25CC9CD8.png
    :width: 2.1638in
    :height: 3.6165in


.. _RefImage_10000000000001D3000002F7C1DB5CCB25CC9CD8.png:

Figure 1.1-1: diagram of the cracked plate

Material properties
----

We consider a homogeneous isotropic elastic linear material whose characteristics are the following:


*   Young's module :math:`E=210000\mathit{MPa}`


*   Poisson's ratio :math:`\nu =\mathrm{0,3}`


Boundary conditions and loads
----

The plate is in tension (:math:`\sigma \mathrm{=}10\mathit{MPa}`).