Combined isotropic/kinematic hardening

Overview

This object simply combines an isotropic hardening model and a kinematic hardening model to produce a combined hardening model suitable for yield surfaces that use combined isotropic and kinematic hardening.

All it does in concatenate the isotropic hardening variable $Q$ and the kinematic backstress $\mathbf{X}$ into the “stress-like” hardening vector

$\mathbf{q}=\left[\begin{array}{cc} Q & \mathbf{X}\end{array}\right]$

and likewise concatenates the “strain-like” history variables into a vector $\bm{\alpha}$ .

Parameters

Parameter	Object type	Description	Default
`iso`	`neml::IsotropicHardeningRule`	Isotropic hardening rule	No
`kin`	`neml::KinematicHardeningRule`	Kinematic hardening rule	No

Class description

class CombinedHardeningRule : public neml::HardeningRule 

Class to combine isotropic and kinematic hardening rules.

Public Functions

CombinedHardeningRule(ParameterSet &params): Parameters: a isotropic hardening rule and a kinematic hardening rule.

virtual void populate_hist(History &h) const: Setup the internal state.

virtual void init_hist(History &h) const: Initialize the history.

virtual void q(const double *const alpha, double T, double *const qv) const: q[0] = isotropic model, q[1:7] = kinematic model

virtual void dq_da(const double *const alpha, double T, double *const dqv) const: Derivative of the map.

Public Static Functions

static std::string type(): String type for the object system.

static std::unique_ptr<NEMLObject> initialize(ParameterSet &params): Initialize from a parameter set.

static ParameterSet parameters(): Default parameters.