.. _linear_elasticity-its2D_4:

linear_elasticity/its2D_4.py
============================

**Description**


Diametrically point loaded 2-D disk with postprocessing and probes. See
:ref:`sec-primer`.

Use it as follows (assumes running from the sfepy directory; on Windows, you
may need to prefix all the commands with "python " and remove "./"):

1. solve the problem::

   ./simple.py examples/linear_elasticity/its2D_4.py

2. optionally, view the results::

   ./postproc.py its2D.h5 -b

3. optionally, convert results to VTK, and view again::

   ./extractor.py -d its2D.h5
   ./postproc.py its2D.vtk -b

4. probe the data::

   ./probe.py examples/linear_elasticity/its2D_4.py its2D.h5

Find :math:`\ul{u}` such that:

.. math::
    \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u})
    = 0
    \;, \quad \forall \ul{v} \;,

where

.. math::
    D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) +
    \lambda \ \delta_{ij} \delta_{kl}
    \;.


.. image:: /../gallery/images/linear_elasticity-its2D_4.png


:download:`source code </../examples/linear_elasticity/its2D_4.py>`

.. literalinclude:: /../examples/linear_elasticity/its2D_4.py