F modeling
==============


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

Same as C modeling with quadratic elements.


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

The mesh is composed of linear elements (560 meshes QUA8 - 600 knots). The refinement of the mesh is uniform (18 elements according to :math:`x` and 31 elements according to :math:`y`), identical to the C modeling.


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

The :math:`\mathrm{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}\mathrm{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:`\mathrm{mm}` **)**", "**Difference (** :math:`\text{\%}` **)**"
    "Lip :math:`y>0` ", "9,876.10-2"," 2%"
    "Lip :math:`y<0` ", "-9,876.10-2"," 2%"


This test validates the nonlinear elasticity calculation for X- FEM models and quadratic elements under plane stresses.