Reference problem
=====================

The sole purpose of these tests is to validate the non-regression of the laws.


Geometry
---------

The tests are based on a unit cubic finite element with 8 knots.


Property of the materials
-----------------------

**Attention:** the material parameters used in these tests are not realistic. They are only used to test laws in a computer way, they should not be used in real calculations.

Material properties are specified in DEFI_MATERIAU with the names FLUA_PORO_BETON, ENDO_PORO_BETON, FLUA_ENDO_PORO, and RGI_BETON.


Boundary conditions
----------------------

Perpendicular movements along three faces of the cube are blocked for all models.

An external uniaxial load is applied in the following models:


* Modeling A: :math:`50\mathit{MPa}`


* C modeling: :math:`9\mathit{MPa}`


* D modeling: :math:`1\mathit{MPa}`


* E modeling: :math:`\mathrm{0,01}\mathit{MPa}`

An imposed displacement is applied in the following models:


* B modeling:


* 1.Traction: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=\mathrm{2,0}\times {10}^{-3}`


* 2.Closure: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=0`


* 3.Traction: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=\mathrm{1,0}\times {10}^{-3}`


* 4.Compression: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=-\mathrm{1,0}\times {10}^{-3}`


* 5.Closure: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=0`


* 6.Compression: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=-\mathrm{2,0}\times {10}^{-3}`


* 7.Closure: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=0`


* F modeling:


    * 1.Traction: :math:`{\mathrm{\epsilon }}_{\mathit{xx}}=\mathrm{8,0}\times {10}^{-5}`


.. image:: images/10000000000003600000021CEA7DAD1B20EB5793.jpg
    :width: 5.7083in
    :height: 2.2835in


.. _RefImage_10000000000003600000021CEA7DAD1B20EB5793.jpg:


.. _Ref2416345131:


.. _Ref1537814841:

Figure 1.3-1: Boundary conditions and mechanical loading on a 1 mm cube.

Six simulations are carried out:


* Modeling A: FLUA_PORO_BETON


* B modeling: ENDO_PORO_BETON


* C modeling: FLUA_ENDO_PORO


* D modeling: RGI_BETON


* E modeling: RGI_BETON


* F modeling: ENDO_PORO_BETON