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


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

      Same as modeling A except for the 3D_ INCO_UPG elements.


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

Number of knots: 9967

Number of meshes and type: 864 PENTA15 and 1568 HEXA20

The characteristic length of an element near the crack bottom is :math:`\mathrm{0,06}m`.

The middle nodes of the edges of the elements touching the bottom of the crack are moved to a quarter of these edges.


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

The theta field integration crowns for command CALC_G are:

:math:`\text{RINF}\mathrm{=}\mathrm{0,1}m` and :math:`\text{RSUP}\mathrm{=}\mathrm{0,5}m`.

We choose a LINEAIRE type of straightening.

The parameter ABS_CURV_MAXI of the POST_K1_K2_K3 operator is chosen so as to retain 5 nodes on the extrapolation segment.

To test the value of :math:`{K}_{I}` for all points at the bottom of the crack, we test the :math:`\mathit{min}` and the :math:`\mathit{max}` values along the bottom.

:math:`{K}_{\mathit{II}}` is tested only to the point where :math:`\omega \mathrm{=}0°` (where :math:`{K}_{\mathit{II}}` is normally maximum).

:math:`{K}_{\mathit{III}}` is tested only to the point where :math:`\omega \mathrm{=}90°` (where :math:`{K}_{\mathit{III}}` is normally maximum).

Theoretically, you should test the absolute value of :math:`{K}_{\mathit{II}}` and :math:`{K}_{\mathit{III}}` because the sign is arbitrary.


Values from CALC_G
~~~~~~~~~~~~~~~~~~~~~~~~~~

The values are in :math:`\mathit{Pa}\mathrm{.}\sqrt{m}` obtained from the SSLV154A test case.


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference Value**", "**% Tolerance**"
    ":math:`\mathit{max}({K}_{I})` ", "'ANALYTIQUE'", "8,361 105"," 3%"
    ":math:`\mathit{min}({K}_{I})` ", "'ANALYTIQUE'", "8,361 105"," 1%"
    ":math:`{K}_{\mathit{II}}` in :math:`\omega \mathrm{=}0°` ", "'ANALYTIQUE'", "8,644 105"," 4.5%"
    ":math:`{K}_{\mathit{III}}` in :math:`\omega \mathrm{=}90°` ", "'ANALYTIQUE'", "6,747 105"," 3%"