Modeling A
==============


Characteristics of modeling
-----------------------------------

The simulation of the propagation of cracks by brittle fracture is carried out with modeling PLAN_JOINT and the law of behavior CZM_LIN_REG for cohesive meshes. The solid elements, in plane deformations D_ PLAN, are elastic.


Characteristics of the mesh
----------------------------

A linear unstructured mesh of the perforated half-plate and of the potential crack is produced.

Solid elements (:math:`\mathit{DCB}`): 404 TRIA3

Joint elements (crack path): 19 QUAD4


Tested sizes and results
------------------------------

We perform non-regression tests on the global response: :math:`{F}^{i}` resulting from the force imposed on the upper face *versus* :math:`U` movement of the node :math:`P` to the top of the hole.


.. csv-table::

    "**Size tested**", "**Code_Aster**", "**Tolerance (** :math:`\text{\%}` **)**"
    ":math:`U` at time 50", "3.3166D-03", "0.10"
    ":math:`F` at time 50", "4.26153D+07", "0.10"
    ":math:`U` at time 100", "1.29488D-03", "0.10"
    ":math:`F` at time 100", "2.73873D+06", "0.10"
    ":math:`U` at the moment 150", "6.45752D-03", "0.10"
    ":math:`F` at time 150", "7.87206D+06", "0.10"
    ":math:`U` at time 200", "1.04754D-02", "0.10"
    ":math:`F` at time 200", "2.16189D+06", "0.10"