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


.. _DébuBut:


Geometry
---------


.. image:: images/1000E53C000069D50000E8A68F63AB50D36EDA9B.svg
    :width: 180
    :height: 283


.. _RefImage_1000E53C000069D50000E8A68F63AB50D36EDA9B.svg:

**Figure1: Reference problem**

The specimen is axi-symmetric, and only half of the specimen is modelled by elements. The dimensions are given here in millimeters.


Material data
-------------------

The material in question is elastoplastic with linear isotropic work-hardening of the von Misès type (VMIS_ISOT_LINE).

The material data used is as follows:


.. csv-table::

    "Young's module:", ":math:`200000\mathrm{MPa}`"
    "Poisson's Ratio", ":math:`\mathrm{0,3}`"
    "Elastic limit", ":math:`200\mathrm{MPa}`"
    "Linear work hardening module", ":math:`20000\mathrm{MPa}`"



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

Because of the symmetry, vertical movements are blocked on line :math:`\mathrm{P0}-\mathrm{P1}` and horizontal movements are blocked on the :math:`\mathrm{P0}-\mathrm{P9}` axis; the load consists of a vertical displacement imposed on the side :math:`\mathrm{P8}-\mathrm{P9}`:


.. csv-table::

    "axis :math:`\mathrm{P0}-\mathrm{P9}` "," :math:`\mathrm{DX}=0`"
    "axis :math:`\mathrm{P0}-\mathrm{P1}` "," :math:`\mathrm{DY}=0`"
    "axis :math:`\mathrm{P8}-\mathrm{P9}` "," :math:`\mathrm{DY}=6\mathrm{mm}`"


Charging is imposed in 50 increments of :math:`0.12\mathrm{mm}`.