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


Geometry
---------

3-point flexure


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:

Characteristics of plates :math:`(m)`:

Length: :math:`L=10`

Width: :math:`l=1`

Thickness 1: :math:`{e}_{1}=0.1`

Thickness 2: :math:`{e}_{2}=0.08`

Eccentricity: :math:`e=0.01`

Coordinates of points :math:`(m)`:

:math:`A:(\mathrm{0,0})` :math:`E:(\mathrm{5,1})`

:math:`B:(\mathrm{5,0})` :math:`F:(\mathrm{0,1})`

:math:`C:(\mathrm{10,0})` :math:`G:(2.5\mathrm{,0})`

:math:`D:(\mathrm{10,1})` :math:`H:(2.5\mathrm{,1})`


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

Elastic


* :math:`E=2.1\times {10}^{11}\mathrm{Pa}` Young's module


* :math:`\nu =0.3` Poisson's ratio


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

Imposed displacement :math:`(m)`:


* segment :math:`\mathrm{AF},\mathrm{CD}`: :math:`\mathrm{DZ}=0`


* segment :math:`\mathrm{FA}`: :math:`\mathrm{DX}=0`


* point :math:`A`: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DRZ}=0`

Loading


* Pressure on :math:`\mathrm{BE}`: :math:`p=2.\times {10}^{5}N/m` :math:`P=\mathrm{pl}`