J modeling
==============


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

It is a 2D modeling with plane deformations D_ PLAN, using meshes
quadratic. We use the Signorin law of behavior from MFront with the GREEN_LAGRANGE model.


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

Number of quadratic elements: 228 TRIA6
Number of knots: 497

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

**First calculation (MOONEY - RIVLIN)**


.. csv-table::

    "**Tested value**", "**Instant**", "**Reference**", "**Type**", "**Tolerance**"
    "Displacement :math:`w` ", "1.0"," :math:`-\mathrm{3,40091E-2}` ", "Analytics", "0.20%"

We also test the stress in the middle of the square:

.. csv-table::

    "**Value tested**", "**Instant**", "**Type**"
    "Constraint :math:`{\mathrm{\sigma }}_{\mathit{YY}}` ", "1,0", "Non-regression"

**Second calculation (NEO - HOOKEAN)**


.. csv-table::

    "**Tested value**", "**Instant**", "**Reference**", "**Type**", "**Tolerance**"
    "Displacement :math:`w` ", "1.0"," :math:`-0.078180` ", "Analytics", "0.20%"


We also test the stress in the middle of the square:

.. csv-table::

    "**Value tested**", "**Instant**", "**Type**"
    "Constraint :math:`{\mathrm{\sigma }}_{\mathit{YY}}` ", "1,0", "Non-regression"

**Third calculation (SIGNORINI)**


.. csv-table::

    "**Tested value**", "**Instant**", "**Reference**", "**Type**", "**Tolerance**"
    "Displacement :math:`w` ", "1.0"," :math:`-0.070936` ", "Analytics", "0.20%"


We also test the stress in the middle of the square:

.. csv-table::

    "**Value tested**", "**Instant**", "**Type**"
    "Constraint :math:`{\mathrm{\sigma }}_{\mathit{YY}}` ", "1,0", "Non-regression"