B modeling
==============

3D modeling.


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

Ductile fracture modeling is carried out with 3D_ INTERFACE modeling and the CZM_TRA_MIX law. The volume elements are modeled with the 3D model.


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

The input mesh is linear. It is transformed into a quadratic mesh by LINE_QUAD in CREA_MAILLAGE.

After the transformation its characteristics are as follows:

Number of knots: 7160

Number of elements for test piece :math:`\mathrm{CT}`: 1130 HEXA20 and 120 PRIS15

Number of elements for the pin: 100 PRIS15

Number of interface elements: 100 HEXA20.


.. image:: images/100000000000029200000231193F1D429959AA01.png
    :width: 5.25in
    :height: 4.4701in


.. _RefImage_100000000000029200000231193F1D429959AA01.png:

**Figure 5**: 3D CT specimen mesh.


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

**Non-regression test**: Traction force (resultant :math:`\mathit{DY}`) on the pin as a function of the :math:`\mathit{DY}` displacement of the pin.


.. csv-table::

    "**Size tested**", "**Reference Type**", "**Code_Aster**", "**Tolerance (%)**"
    "Force for a displacement of :math:`\mathrm{0,4}\mathit{mm}` ", "'NON_REGRESSION'", "4.47132E+04", "0.10"
    "Force for a displacement of :math:`\mathrm{0,8}\mathit{mm}` ", "'NON_REGRESSION'", "5.09591E+04", "0.10"
    "Force for a displacement of :math:`\mathrm{1,2}\mathit{mm}` ", "'NON_REGRESSION'", "5.22155E+04", "0.10"
    "Force for a displacement of :math:`\mathrm{1,6}\mathit{mm}` ", "'NON_REGRESSION'", "5.32126E+04", "0.10"