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

Geometry
---------

Uniaxial state: cylindrical specimen or elementary volume :math:`\mathrm{3D}`.


.. image:: images/Object_1.svg
    :width: 411
    :height: 241


.. _RefImage_Object_1.svg:


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

.. csv-table::

    "Isotropic elasticity
    :math:`E=31000\mathrm{MPa}`
    :math:`\nu =0.2` ", "Granger" own creep behavior relationship.
    :math:`{J}_{1}=\mathrm{3,226}{10}^{-5}{\mathrm{MPa}}^{\text{–1}}`
    :math:`{\tau }_{1}=432000s`
    :math:`{J}_{2}=\mathrm{6,452}{10}^{-5}{\mathrm{MPa}}^{\text{–1}}`
    :math:`{\tau }_{2}=4320000s`"


**Table** 1.2-1

Neither the aging phenomenon nor the effect of temperature are taken into account in the Granger behavior relationship.


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

On the :math:`\mathrm{AB}` side: :math:`{u}_{z}=0`

A constant temperature of :math:`T=20°C` and a constant humidity of :math:`h=1` are uniformly imposed on the structure.

We load in traction from :math:`0` to :math:`20\mathrm{MPa}` in :math:`10s`. (imposed pressure such as :math:`{\sigma }_{\mathrm{zz}}=-{\sigma }_{1}\mathrm{.}t`) and loading is maintained for :math:`1` years.


.. image:: images/Object_2.svg
    :width: 411
    :height: 241


.. _RefImage_Object_2.svg: