====== Kinematic hardening ======

The ''KinematicHardening'' class manages the kinematic hardening evolution laws.
===== DruckerPragerKinematicHardening =====

=== Description ===

Drucker-Prager linear kinematic hardening.

$$ \dot{X}_{ij}^{dp} = \dfrac{2}{3}\, h\,D_{ij}^{vp}$$

=== Parameters === 
^          Name     ^  Metafor Code  ^ Dependency         ^
|$h $ |   ''KH_H''    |       ''TM''       |

===== ArmstrongFrederickKinematicHardening =====

=== Description ===

Armstrong-Frederick kinematic hardening including dynamic restoration. 

$$ \dot{X}_{ij}^{af} = \dfrac{2}{3}\, h\,D_{ij}^{vp} - b\, \dot{\bar{\varepsilon}}\, X_{ij}^{af} $$


=== Parameters === 
^          Name       ^  Metafor Code  ^ Dependency         ^
|$h $ |   ''KH_H''    |  ''TM''            |
|$b $ |   ''KH_B''    |  ''TM''            |

===== ChabocheKinematicHardening =====

=== Description ===

Chaboche kinematic hardening including static restoration. 

$$ \dot{X}_{ij}^{cf} = \dfrac{2}{3}\, h\,D_{ij}^{vp} - b\, \dot{\bar{\varepsilon}}\, X_{ij}^{ch} 
- \dfrac{h}{M} \left(\dfrac{J_2\left(\mathbf{X}^{ch}\right)}{M}\right)^{m-1} X_{ij}^{ch} $$

=== Parameters === 
^          Name       ^  Metafor Code  ^ Dependency         ^
|$h $ |   ''KH_H''    |      ''TM''        |
|$b $ |   ''KH_B''    |      ''TM''        |
|$M $ |  ''KH_BIGM''  |      ''TM''        |
|$m $ |  ''KH_SMAM''  |      ''TM''        |

===== AsaroKinematicHardening =====

=== Description ===

Asaro kinematic hardening.

$$ X_{ij}^{as} = \dfrac{h_s}{b_s}\, \tanh \left(b_s\left|\left|E_{ij}^{vp}\right|\right|\right) \dfrac{E_{ij}^{vp}}{\left|\left|E_{ij}^{vp}\right|\right|} $$

=== Parameters === 
^          Name        ^  Metafor Code  ^ Dependency         ^
|$h_s$ |   ''KH_HS''   |      ''TM''        |
|$b_s$ |   ''KH_BS''   |      ''TM''        |