CustomMises1D
Last updated
Last updated
J2 Plasticity Model With Custom Hardening
This model is an implementation of the abstract model.
Both the isotropic and kinematic hardening functions are provided by objects.
Both hardening functions shall be defined in terms of the equivalent plastic strain.
The isotropic hardening function evaluates to the yield stress for trivial equivalent plastic strain.
The expressions shall be able to compute derivatives.
For example, one can define a purely isotropic hardening model as follows:
In the above example, the isotropic hardening function is defined as:
The kinematic hardening function is defined as:
In the above example, purely kinematic hardening is defined.
With custom functions, it is possible to define arbitrary hardening rules.
in which maps to the equivalent plastic strain and maps to the shifted stress.
For elastic modulus of , the isotropic hardening ratio satisfies:
solving which yields .
The last point is , then
The hardening ratio is .
The last point is , then