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

Validation of joint :math:`2D` with the JOINT_MECA_ENDO law

A traction test is carried out here.


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

Modeling in plane deformations D_ PLAN for the elastic element.

Plane modeling for the joint element (keyword PLAN_JOINT).


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

Number of knots: 6

The elastic element is a QUAD4.

The joint element is a degenerate QUAD4 (knots combined).


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

The normal stress is compared with the reference solution at different loading times that correspond to different state of damage to the joint.


.. image:: images/1000020100000780000005A00C1B5069135A7300.png
    :width: 6.4in
    :height: 4.8in


.. _RefImage_1000020100000780000005A00C1B5069135A7300.png:


.. csv-table::

    "**Size tested**", "**Reference**", "**Tolerance (** :math:`\text{\%}` **)**"
    "FN, at moment 20"," :math:`{\mathrm{\sigma }}_{n}=7333.48152\mathit{Pa}` ", "1"
    "FN, at time 40"," :math:`{\mathrm{\sigma }}_{n}=2969.57717064\mathit{Pa}` ", "1"
    "FN, at time 43"," :math:`{\mathrm{\sigma }}_{n}=1404.71701949\mathit{Pa}` ", "1"
    "FN, at the moment 60"," :math:`{\mathrm{\sigma }}_{n}=172.0723055535\mathit{Pa}` ", "1"