C modeling
==============


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

It is a nonlinear elasticity calculation under the hypothesis of small displacements, with the X- FEM method (non-meshed crack). The modeling is in plane constraints.


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

The mesh is composed of linear elements (560 meshes QUA4 - 600 knots). The refinement of the mesh is uniform (18 elements according to :math:`x` and 31 elements according to :math:`y`).


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

The :math:`\mathit{DY}` component of the displacement is tested at the two points where the crack opens (points on each of the lips), at the last moment of the calculation (imposed displacement :math:`\mathrm{0,1}\mathit{mm}`). This test is carried out on the displacement field created by the operator POST_CHAM_XFEM.

The reference value is the solution obtained in modeling A.


.. csv-table::

    "**Lip considered**", "**Reference (** :math:`\mathit{mm}` ****) **", "**Code_Aster (**:math:`\mathit{mm}`**) **", "**Difference (**:math:`\text{\%}`**) **"
    "Lip :math:`y>0` ", "9.876.10-2", "9.516.10-2", "-3.6%"
    "Lip :math:`y<0` ", "-9,876.10-2", "-9,516.10-2", "-3,6%"


This test validates the nonlinear elasticity calculation for X- FEM models.