D modeling
==============


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

The crack is modelled using the X- FEM method. We use 3D modeling and the CALC_G_XFEM operator.


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

The mesh contains 1875 elements of type HEXA8.


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

The dynamic stress intensity factors :math:`{K}_{I}(t)`, :math:`{K}_{\mathit{II}}(t)` and :math:`{K}_{\mathit{III}}(t)` to :math:`t\mathrm{=}4.E\mathrm{-}3\mathit{sec}` are tested for the crack bottom at the middle of the thickness.


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`{K}_{I}(t)` ", "'AUTRE_ASTER'", "3.5521523 E+06", "2.0%"
    ":math:`{K}_{\mathit{II}}(t)` ", "'AUTRE_ASTER'", "4.2648023 E+05"," 10.0%"
    ":math:`{K}_{\mathit{III}}(t)` ", "'AUTRE_ASTER'", "-8.5924717E+05"," 4%"