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


Geometry
---------

We consider a unit cube.


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

We consider a material with a Von Mises law of behavior with mixed work hardening (VMIS_ECMI_TRAC).

The elastic properties are as follows:


* Young's modulus: :math:`E=221300\mathrm{MPa}`


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

The Prager constant is: :math:`C=2200\mathrm{MPa}`.

The traction curve under consideration is given on the.


    .. image: images/1000000000000 CE4000009F61350709DA581F139 .png
        :width: 4.5516 in
        :height: 3.7874 in


    .. _refImage_1000000000000 CE4000009F61350709DA581F139 .png:

Figure 1.2-1: Tensile curve


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 vertical movement :math:`\mathrm{dz}={10}^{-2}[m]`.