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


Geometry
---------


.. image:: images/10004298000069F000004BA8A69FBB8DFD67FF3F.svg
    :width: 378
    :height: 270


.. _RefImage_10004298000069F000004BA8A69FBB8DFD67FF3F.svg:



We define six reinforcement layers (one per side of the cube):


* :math:`\mathrm{GEOX}` (2 tablecloths): sides :math:`\mathrm{NO1NO4NO8NO5}` and :math:`\mathrm{NO2NO6NO7NO3}`


* :math:`\mathrm{GEOY}` (2 tablecloths): sides :math:`\mathrm{NO1NO2NO6NO5}` and :math:`\mathrm{NO4NO3NO7NO8}`


* :math:`\mathrm{GEOZ}` (2 tablecloths): sides :math:`\mathrm{NO1NO2NO3NO4}` and :math:`\mathrm{NO5NO6NO7NO8}`



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

**For the full cube:**



.. csv-table::

    "Modeling", ":math:`A` "," :math:`B` "," "," :math:`C` "," :math:`D`"
    ":math:`E(\mathrm{Pa})` ", "2", "2", "2", "2E14", "2E14"
    ":math:`\nu` ", "0", "0", "0", "0"


**For reinforcement layers (all models combined)**

:math:`E=2E11\mathrm{Pa}`, :math:`\nu =0`


* Table :math:`\mathrm{GEOX}`: section per linear meter :math:`0.01{m}^{2}/\mathrm{ml}`, eccentricity 0, orientation (ANGL_REP) :math:`(30;0)`


* Table :math:`\mathrm{GEOY}`: section per linear meter :math:`0.02{m}^{2}/\mathrm{ml}`, eccentricity 0, orientation (ANGL_REP) :math:`(0;40)`


* Table :math:`\mathrm{GEOZ}`: section per linear meter :math:`0.03{m}^{2}/\mathrm{ml}`, eccentricity 0, orientation (ANGL_REP) :math:`(\mathrm{15 };70)`


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

The boundary conditions are as follows:

:math:`\mathrm{DX}=0` on the side :math:`\mathrm{NO2NO3NO7NO6}`

:math:`\mathrm{DY}=0` on the side :math:`\mathrm{NO1NO2NO6NO5}`

:math:`\mathrm{DZ}=0` on the side :math:`\mathrm{NO1NO2NO3NO4}`

The load is applied in an increment as follows (imposed movements):

:math:`\mathrm{DX}=1` on the side :math:`\mathrm{NO1NO4NO8NO5}`

:math:`\mathrm{DY}=2` on the side :math:`\mathrm{NO4NO3NO7NO8}`

:math:`\mathrm{DZ}=3` on the side :math:`\mathrm{NO5NO6NO7NO8}`