Model::Solid::Finite::CrystalPlastic
====================================

:bdg-link-secondary-line:`src/Model/Solid/Finite/CrystalPlastic.H <../../../../doxygen/CrystalPlastic_8H_source.html>`

A basic and relatively untested implementation of finite-deformation FCC crystal plasticity.
Use with caution.

Inherits from :ref:`Model::Solid::Finite::PseudoLinear::Cubic` to provide elastic response.

Plastic flow modeled as:

.. math::

   \mathbf{F}^p\mathbf{F}^{p-1} =
   \sum \dot{\gamma}_n \mathbf{a}_n\otimes\mathbf{N}_n

where :math:`\mathbf{F}=\mathbf{F}^e\mathbf{F}^p` and :math:`\gamma_n` are
slips on system :math:`n`.

Power law rate hardening is used in the integration of slips:

.. math::

   \dot{\gamma}_n = \dot{\gamma}_0 \Big(\frac{\tau}{\tau_{crss}}\Big)^m \operatorname{sign}(\tau)

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   :math:`\phantom{0}`

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