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


Geometry
---------

Consider a unit length cube (:math:`\mathrm{1m}`).


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

We consider a material with a Von Mises law of behavior with linear isotropic work hardening (VMIS_ISOT_LINE).

The elastic properties are as follows:


* Young's modulus: :math:`E=210000\mathrm{MPa}`


* Poisson's ratio: :math:`\nu =\mathrm{0,3}`

The tangent module is equal to: :math:`{E}_{t}=1930\mathrm{MPa}`.

The elastic limit is equal to: :math:`{\sigma }_{y}=181\mathrm{MPa}`.


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

The underside (in plane :math:`z=0`) is embedded.

The upper face (in plane :math:`z=1`) is subject to a :math:`\mathrm{du}=(\begin{array}{}1\\ 1\\ 1\end{array})[m]` displacement.