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

Modeling in plane deformations.


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

The modeling of ductile rupture is carried out with modeling PLAN_INTERFACE and law CZM_TRA_MIX. The volume elements are modelled in plane deformations D_ PLAN.


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: 2357

Number of elements for test piece :math:`\mathrm{CT}`: 663 QUAD8 and 42 TRIA6

Number of elements for the pin: 20 TRIA6.

Number of interface elements: 40 QUAD8.


.. image:: images/100000000000030D0000017B4E14711C5CC90BA6.png
    :width: 4.9402in
    :height: 2.4in


.. _RefImage_100000000000030D0000017B4E14711C5CC90BA6.png:

**Figure 4**: 2D 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 (** :math:`\text{\%}` **)**) **"
    "Force for a move of :math:`\mathrm{0,5}\mathit{mm}` ", "'NON_REGRESSION'", "4269.54", "0.10"
    "Force for a move of :math:`1\mathit{mm}` ", "'NON_REGRESSION'", "4767.59", "0.10"
    "Force for a move of :math:`\mathrm{1,5}\mathit{mm}` ", "'NON_REGRESSION'", "5109.77", "0.10"
    "Force for a move of :math:`2\mathit{mm}` ", "'NON_REGRESSION'", "5383.76", "0.10"