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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 516
    :height: 265


.. _RefImage_Object_1.svg:

Point coordinates (in meters):


.. csv-table::

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



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

:math:`E\mathrm{=}1500{10}^{3}\mathit{kPa}`

:math:`\nu \mathrm{=}\mathrm{0,27}`


.. image:: images/Object_2.svg
    :width: 516
    :height: 265


.. _RefImage_Object_2.svg:


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


Modeling coupled with hydraulics
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

**Phase 1:**

The sample is brought to a homogeneous state of effective constraints:

.. image:: images/Object_3.svg
    :width: 516
    :height: 265


.. _RefImage_Object_3.svg:

, by imposing the corresponding total pressure on the front, right lateral and upper faces and by imposing zero water pressures everywhere. The movements are blocked on the back sides (

.. image:: images/Object_4.svg
    :width: 516
    :height: 265


.. _RefImage_Object_4.svg:

), left lateral (

.. image:: images/Object_5.svg
    :width: 516
    :height: 265


.. _RefImage_Object_5.svg:

) and lower (

.. image:: images/Object_6.svg
    :width: 516
    :height: 265


.. _RefImage_Object_6.svg:

).

**Phase 2:**

We keep the movements blocked on the rear faces (

.. image:: images/Object_7.svg
    :width: 516
    :height: 265


.. _RefImage_Object_7.svg:

), left lateral (

.. image:: images/Object_8.svg
    :width: 516
    :height: 265


.. _RefImage_Object_8.svg:

) and lower (

.. image:: images/Object_9.svg
    :width: 516
    :height: 265


.. _RefImage_Object_9.svg:

). On all sides, hydraulic flows are zero.

An imposed displacement is applied to the upper face in order to obtain a deformation.

.. image:: images/Object_10.svg
    :width: 516
    :height: 265


.. _RefImage_Object_10.svg:

(counted from the start of phase 2). On the front and right lateral faces, limit conditions under total stress are imposed:


.. image:: images/Object_11.svg
    :width: 516
    :height: 265


.. _RefImage_Object_11.svg: