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


.. _RefNumPara__1083_967333097:


Geometry and modeling
-------------------------

It is a flat crack with a half-length :math:`a\mathrm{=}\mathrm{20m}`.

The assumed infinite medium is modelled by a square with a side of :math:`\mathrm{200m}`. Since planes :math:`\mathit{xz}` and :math:`\mathit{yz}` are planes of symmetry, we represent only a quarter of the structure (square of :math:`100m` by :math:`100m`), and a half-crack lip of length :math:`a=20m` is represented.

An absorbent border is present on the "border1" and "border2" groups to model the infinite medium.


.. image:: images/10000200000002420000023E907C12F98EE2E12F.png
    :width: 3.3071in
    :height: 3.2799in


.. _RefImage_10000200000002420000023E907C12F98EE2E12F.png:


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


.. csv-table::

    "Density", ":math:`\rho \mathrm{=}\mathrm{7500kg}\mathrm{/}{m}^{3}`"
    "Young's module:", ":math:`E\mathrm{=}{2.10}^{11}\mathit{MPa}`"
    "Poisson's ratio:", ":math:`\nu \mathrm{=}0.3`"



Loads
-----------

Pressure imposed:


.. math::
: label: EQ-None

    \ textrm {Mesh group}
    \ mathit {Crack}