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


Geometry
---------


.. image:: images/10000000000001980000024F439DF0AEACD0BF2B.jpg
    :width: 4.0429in
    :height: 5.8563in


.. _RefImage_10000000000001980000024F439DF0AEACD0BF2B.jpg:

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

Geometric dimensions of the cracked plate:


.. csv-table::

    "width", ":math:`L=8m`"
    "thickness", ":math:`E=1m`"
    "height", ":math:`H=18m`"


The crack is initially oriented at :math:`45°`, with the front initially positioned at :math:`(x,\mathrm{2,}9)`.


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

Young's module :math:`E=205000\mathrm{MPa}`

Poisson's ratio :math:`\nu =0.3`

For the case of models with cohesive elements, the material parameters are:

Critical constraint :math:`{\sigma }_{c}=2\mathit{MPa}`

Energy tenacity :math:`{G}_{c}=17.75{\mathit{N.m}}^{-1}`


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

Boundary conditions:

 Point :math:`P`: :math:`\Delta X=\Delta Y=\Delta Z=0`

 Points on segment :math:`\mathrm{AB}`: :math:`\Delta X=\Delta Z=0`

 Points on the surface :math:`\text{INF}`: :math:`\Delta Z\mathrm{=}0`

Loading:

 Surface pressure :math:`\text{SUP}`: :math:`P=-1\mathrm{MPa}`