M modeling
==============

The crack bottom is closed. We calculate :math:`G`.


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


.. image:: images/10000000000002EC00000242F33EBCD25DBBD74F.png
    :width: 5.6591in
    :height: 4.3547in


.. _RefImage_10000000000002EC00000242F33EBCD25DBBD74F.png:

As for modeling A, the advantage of this modeling is to represent the entire crack background, which is a closed curve, without taking advantage of the symmetries of the problem.

A rigid body rotation load is initially applied in order to place itself in a situation of major transformations. A tensile load applied to the deformation is then taken into account in a second step.


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

Number of knots: 11114

Number of meshes and type: 2432 PENTA15

The middle nodes of the edges of the elements touching the bottom of the crack are moved to a quarter of these edges. The mesh is identical to that used for modeling A.


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


.. csv-table::

    "**Identification**", "**Reference**", "**Reference type**", ":math:`\text{\%}` **tolerance**"
    "G local Node :math:`N403` - Discretization LINEAIRE, R_ INF and R_ SUP ", "11.586"," ANALYTIQUE ", "3.0"
    "G local Node :math:`N2862` - Discretization LINEAIRE, R_ INF and R_ SUP ", "11.586"," ANALYTIQUE ", "2.0"
    "G local Node :math:`N375` - Discretization LINEAIRE, R_ INF and R_ SUP ", "11.586"," ANALYTIQUE ", "3.0"
    "G local Node :math:`N292` - Discretization LINEAIRE, R_ INF and R_ SUP ", "11.586"," ANALYTIQUE ", "2,4"
    ":math:`\mathit{max}(G\mathit{local})` - Discretization LINEAIRE, R_ INF R_ SUP ", "11.59"," ANALYTIQUE ", "2.5"
    ":math:`\mathit{min}(G\mathit{local})` - Discretization LINEAIRE, R_ INF R_ SUP ", "11.59"," ANALYTIQUE ", "2.0"