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


Geometry
---------


.. image:: images/10000000000003D3000002BDAEB8B49ABA737EEC.jpg
    :width: 3.4035in
    :height: 2.4366in


.. _RefImage_10000000000003D3000002BDAEB8B49ABA737EEC.jpg:

**Figure** 1.1-a **: Geometry of the cracked plate**

Geometric dimensions of the cracked plate:


.. csv-table::

    "Side square", ":math:`D=10m`"


Initial crack length: :math:`{a}_{0}=2m`.

The crack opens in the middle of one side (:math:`L/2`).


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

Young's module :math:`E=206000\mathrm{MPa}`

Poisson's Ratio :math:`\nu =0.33`

Density :math:`\rho =7800\mathrm{kg}/\mathrm{m³}`


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

In order to block the movement of the rigid body of the plate, the axis of rotation is blocked at :math:`\mathrm{DX}`, :math:`\mathrm{DY}` and :math:`\text{P\_SUP}` is blocked at :math:`\mathrm{DX}`.

The load is only volume and induced by rotation, with pulsation :math:`\omega =10`, with an axis normal to the plane of the structure and with a center :math:`(5;5)`.

Three propagations are calculated by imposing a maximum crack advance equal to :math:`1\mathrm{mm}`.