.. _linear_elasticity-linear_elastic:

linear_elasticity/linear_elastic.py
===================================

**Description**


Linear elasticity with comments.

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-linear_elastic.png


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

.. literalinclude:: /../examples/linear_elasticity/linear_elastic.py

