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


Geometry
---------

Rectangular plate with breakthrough :math:`\mathrm{OC}` crack.


.. image:: images/10000000000002E3000002A0B2622266A6ABF062.png
    :width: 4.0264in
    :height: 3.4335in


.. _RefImage_10000000000002E3000002A0B2622266A6ABF062.png:

For reasons of symmetry, the model is reduced to semi-structure :math:`y\ge 0`.

Plate height: :math:`h=250\mathrm{mm}`

Plate width: :math:`I=100\mathrm{mm}`

Crack depth: :math:`a=37.5\mathrm{mm}` (:math:`\mathrm{OC}`)


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

:math:`E\mathrm{=}200000\mathit{MPa}` :math:`\nu =0.3`

Hypothesis of plane constraints.


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


.. csv-table::

    "* Constraint imposed in :math:`Y=h`:", ":math:`\sigma \mathrm{=}1\mathit{MPa}`"
    "* Move for edge :math:`\mathrm{CA}` defined by: :math:`a\mathrm{\le }X\mathrm{\le }l` and :math:`y=0` "," :math:`v=0.`"
    "* Fixed point :math:`A`:", ":math:`u=v=0.`"


For modeling :math:`C` we replace the stress imposed by pressure on the lips of the crack.