X modeling
==============


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

It's a 3D model_ HHO_222 (linear and quadratic HHO elements).
We use the Signorin law of behavior from MFront with the GREEN_LAGRANGE model.


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

Count of elements: 216 hexahedra HEXA27


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 constraints in the middle of the cube:


.. csv-table::

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


**Second calculation (NEO - HOOKEAN)**


.. csv-table::

    "**Tested value**", "**Instant**", "**Reference**", "**Type**", "**Tolerance**"
    "Displacement :math:`w` ", "1,0"," :math:`-0.078180` "," ", "Analytical", "0, 30%"


We also test the constraints in the middle of the cube:


.. csv-table::

    "**Value tested**", "**Instant**", "**Type**"
    "Constraint :math:`{\mathrm{\sigma }}_{\mathit{YY}}` ", "1,0", "Non-regression"
    "Constraint :math:`{\mathrm{\sigma }}_{\mathit{ZZ}}` ", "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 constraints in the middle of the cube:


.. csv-table::

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