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


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

The crack is modelled by a notch with a radius of 100 microns. Zone :math:`\mathrm{Ze}`, :math:`2\mathrm{mm}` in length, is divided into zones 20 microns thick (also called "chips"). The modeling chosen is 3D.


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

Number of knots: 7598

Number of meshes and types: 2 POI1, 231 SEG3, 231, 185, 185 TRIA6, 185, 532 QUAD8, 1368 PENTA15, 704 HEXA20


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

We test the values of :math:`{G}_{p}` determined by the CALC_GP macro.


Tested values of Gp
~~~~~~~~~~~~~~~~~~~~~~~


.. csv-table::

    "**Instant**", "**Slic**", "**Chip**", ":math:`{G}_{p}` ", "**Tolerance** :math:`(\text{\%})`"
    "1.0", "1", "1", "1", "0.403427269434", "2.0E-03"
    "1.0", "1", "2", "0.457684983179", "2.0E-03"
    "1.0", "4", "1", "1", "0.406946424724", "2.0E-03"
    "1.0", "4", "2", "2", "0.470097503181", "2.0E-03"
    "3.0", "1", "1", "1", "0.617595380045", "2.0E-03"
    "3.0", "1", "2", "0.691043665211", "2.0E-03"
    "3.0", "4", "1", "1", "0.654057227856", "2.0E-03"
    "3.0", "4", "2", "2", "0.761443594485", "2.0E-03"


Table 3.1

In all cases, the difference between the values calculated by the two versions of CALC_GP is minimal, which validates them mutually.