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


Geometry
---------

height: :math:`h\mathrm{=}1m`

width: :math:`l\mathrm{=}1m`

thickness: :math:`e\mathrm{=}1m`

.. image:: images/1000682400002C6B0000221CF920E400191AE434.svg
    :width: 286
    :height: 228


.. _RefImage_1000682400002C6B0000221CF920E400191AE434.svg:

Point coordinates (in meters):


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C`"
    ":math:`x` ", "0. ", "0. ", "0.5"
    ":math:`y` ", "0. ", "1. ", "0.5"
    ":math:`z` ", "0. ", "0. ", "0.5"



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

:math:`E\mathrm{=}\mathrm{35,6616541}{10}^{3}\mathit{kPa}`

:math:`\nu \mathrm{=}\mathrm{0,15037594}`


.. csv-table::

    "Settings CJS3:", ":math:`\beta \mathrm{=}\mathrm{-}\mathrm{0,55}` "," :math:`\gamma \mathrm{=}\mathrm{0,82}` "," "," :math:`{R}_{m}\mathrm{=}\mathrm{0,05}` "," :math:`{R}_{c}\mathrm{=}\mathrm{0,265}` "," :math:`n\mathrm{=}\mathrm{0,6}`"
    "", ":math:`{K}_{o}^{p}\mathrm{=}\mathrm{25,5}{10}^{3}\mathit{kPa}` ", "", ":math:`b\mathrm{=}7.0\mathit{kPa}` "," "," :math:`\mu \mathrm{=}0.021` "," :math:`{p}_{\mathit{co}}\mathrm{=}\mathrm{-}600\mathit{kPa}`"
    "", ":math:`c\mathrm{=}30.0` ", "", ":math:`{P}_{a}\mathrm{=}\mathrm{-}100\mathit{kPa}` ", "", ""



Initial conditions, boundary conditions, and loading
----------------------------------------

**Phase 1:**

The sample is brought to a homogeneous state:

.. image:: images/Object_1.svg
    :width: 286
    :height: 228


.. _RefImage_Object_1.svg:

, by imposing the corresponding confinement pressure on the front, right lateral and upper faces. The movements are blocked on the back sides (

.. image:: images/Object_2.svg
    :width: 286
    :height: 228


.. _RefImage_Object_2.svg:

), left lateral (

.. image:: images/Object_3.svg
    :width: 286
    :height: 228


.. _RefImage_Object_3.svg:

) and lower (

.. image:: images/Object_4.svg
    :width: 286
    :height: 228


.. _RefImage_Object_4.svg:

).

**Phase 2:**

We keep the movements blocked on the rear faces (

.. image:: images/Object_5.svg
    :width: 286
    :height: 228


.. _RefImage_Object_5.svg:

), left lateral (

.. image:: images/Object_6.svg
    :width: 286
    :height: 228


.. _RefImage_Object_6.svg:

) and lower (

.. image:: images/Object_7.svg
    :width: 286
    :height: 228


.. _RefImage_Object_7.svg:

), as well as the confinement pressure on the front and right lateral faces. An imposed displacement is applied on the upper face:

.. image:: images/Object_8.svg
    :width: 286
    :height: 228


.. _RefImage_Object_8.svg:

, so as to obtain a deformation

.. image:: images/Object_9.svg
    :width: 286
    :height: 228


.. _RefImage_Object_9.svg:

(counted from the start of phase 2).