.. _linear_elasticity-material_nonlinearity: linear_elasticity/material_nonlinearity.py ========================================== **Description** Example demonstrating how a linear elastic term can be used to solve an elasticity problem with a material nonlinearity. .. 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:: /../doc/images/gallery/linear_elasticity-material_nonlinearity.png :download:`source code ` .. literalinclude:: /../sfepy/examples/linear_elasticity/material_nonlinearity.py