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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 517
    :height: 300


.. _RefImage_Object_1.svg:


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

Flan:

.. csv-table::

    ":math:`E=69004.N/{\mathrm{mm}}^{2}` ", "Young's module"
    ":math:`\nu =0.3` ", "Poisson's ratio"
    ":math:`{\sigma }_{0}=589{({10}^{-4}+\stackrel{ˉ}{{\varepsilon }^{p}})}^{0.216}` ", "Work hardening law"


Punch, die

.. csv-table::

    ":math:`E={10}^{7}N/{\mathrm{mm}}^{2}` ", "Young's module"
    ":math:`\nu =0.3` ", "Poisson's ratio"


Contact areas: punch/blank, matrix/blank

.. math::
: label: EQ-None

    \ mu =0.15


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

Boundary conditions:


1. the matrix is embedded


2. the periphery of the blank is embedded

Loading: pressure :math:`p=\mathrm{12.33N}/{\mathrm{mm}}^{2}` = stamping force of :math:`100\mathrm{kN}`