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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 354
    :height: 238


.. _RefImage_Object_1.svg:


Material properties
----------------------


+-----------------------------+-------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------+
|Isotropic elasticity         |Young's Modulus: :math:`E\mathrm{=}200000\mathit{MPa}` Poisson's Ratio: :math:`\nu \mathrm{=}0.3`                                                                              |
+-----------------------------+-------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------+
|Rousselier model coefficients|Initial porosity: :math:`{f}_{0}\mathrm{=}0.01` :math:`D\mathrm{=}2` :math:`{\sigma }_{1}\mathrm{=}500\mathit{MPa}`                                                            |
+-----------------------------+-------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------+
|Rational traction curve      |Logarithmic deformation 0.0 0.002 1.002                                                                            |Rational constraint (:math:`\mathit{MPa}`) 0.0 400.0 2400.0|
+-----------------------------+-------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------+
|Non-local model              |Regularization of swelling: C_ GONF = 1N                                                                                                                                       |
+-----------------------------+-------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------+


Boundary conditions and loads
-------------------------------------

The bar, blocked in direction :math:`\mathit{Oy}` on face :math:`\mathrm{[}\mathrm{1,2}\mathrm{]}`, is subject to displacement :math:`u(t)` on face :math:`\mathrm{[}\mathrm{3,}4\mathrm{]}`.


+-----------------------------------------------------------------------------------+-----------------------------------------------------------------------------------+
|                                                                                   |                                                                                   |
+ .. image:: images/Object_7.svg                                                    + .. image:: images/Object_8.svg                                                    +
|    :width: 354                                                                    |    :width: 147                                                                    |
+    :height: 238                                                                   +    :height: 186                                                                   +
|                                                                                   |                                                                                   |
+                                                                                   +                                                                                   +
|                                                                                   |                                                                                   |
+-----------------------------------------------------------------------------------+-----------------------------------------------------------------------------------+



Initial conditions
--------------------

Zero stresses and deformations at :math:`t=0`.