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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 653
    :height: 247


.. _RefImage_Object_1.svg:

Bias plate recessed in :math:`{P}_{1}{P}_{2}` and subjected in :math:`P` to a concentrated vertical force:

:math:`f\mathrm{=}\mathrm{-}F{e}_{z}`; :math:`F>0`


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

Elastic behavior:

:math:`E\mathrm{=}2100000`; :math:`\nu \mathrm{=}\frac{1}{3}`


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

Embedding in :math:`{P}_{1}{P}_{2}`. We are looking for the successive states of equilibrium under the load made up of force:

:math:`F(t)\mathrm{=}t`

in :math:`P`, :math:`t` being the nickname.

We are particularly interested in horizontal and vertical movements in :math:`P`.