Simple hardening rules

Overview

These rules are intended for use with associative plasticity, where the evolution rate of each hardening variable is determined by the map between the “strain-like” history variable and the “stress-like” internal variable that feeds into the yield surface. These models implement the interface

where are the actual “strain-like” history variables tracked and maintained by the model and are the stress-like internal variables provided to the yield surface.

Implementations

• Isotropic hardening
  • Overview
  • Implementations
    • Linear isotropic hardening
      • Overview
      • Parameters
      • Class description
        • LinearIsotropicHardeningRule
          • LinearIsotropicHardeningRule::LinearIsotropicHardeningRule()
          • LinearIsotropicHardeningRule::q()
          • LinearIsotropicHardeningRule::dq_da()
          • LinearIsotropicHardeningRule::s0()
          • LinearIsotropicHardeningRule::K()
          • LinearIsotropicHardeningRule::type()
          • LinearIsotropicHardeningRule::initialize()
          • LinearIsotropicHardeningRule::parameters()
    • Interpolated isotropic hardening
      • Overview
      • Parameters
      • Class description
        • InterpolatedIsotropicHardeningRule
          • InterpolatedIsotropicHardeningRule::InterpolatedIsotropicHardeningRule()
          • InterpolatedIsotropicHardeningRule::q()
          • InterpolatedIsotropicHardeningRule::dq_da()
          • InterpolatedIsotropicHardeningRule::type()
          • InterpolatedIsotropicHardeningRule::initialize()
          • InterpolatedIsotropicHardeningRule::parameters()
    • Voce isotropic hardening
      • Overview
      • Parameters
      • Class description
        • VoceIsotropicHardeningRule
          • VoceIsotropicHardeningRule::VoceIsotropicHardeningRule()
          • VoceIsotropicHardeningRule::q()
          • VoceIsotropicHardeningRule::dq_da()
          • VoceIsotropicHardeningRule::s0()
          • VoceIsotropicHardeningRule::R()
          • VoceIsotropicHardeningRule::d()
          • VoceIsotropicHardeningRule::type()
          • VoceIsotropicHardeningRule::initialize()
          • VoceIsotropicHardeningRule::parameters()
    • Power law isotropic hardening
      • Overview
      • Parameters
      • Class description
        • PowerLawIsotropicHardeningRule
          • PowerLawIsotropicHardeningRule::PowerLawIsotropicHardeningRule()
          • PowerLawIsotropicHardeningRule::q()
          • PowerLawIsotropicHardeningRule::dq_da()
          • PowerLawIsotropicHardeningRule::type()
          • PowerLawIsotropicHardeningRule::initialize()
          • PowerLawIsotropicHardeningRule::parameters()
    • Combined isotropic hardening
      • Overview
      • Parameters
      • Class description
        • CombinedIsotropicHardeningRule
          • CombinedIsotropicHardeningRule::CombinedIsotropicHardeningRule()
          • CombinedIsotropicHardeningRule::q()
          • CombinedIsotropicHardeningRule::dq_da()
          • CombinedIsotropicHardeningRule::nrules()
          • CombinedIsotropicHardeningRule::type()
          • CombinedIsotropicHardeningRule::initialize()
          • CombinedIsotropicHardeningRule::parameters()
  • Class description
    • IsotropicHardeningRule
      • IsotropicHardeningRule::IsotropicHardeningRule()
      • IsotropicHardeningRule::populate_hist()
      • IsotropicHardeningRule::init_hist()
      • IsotropicHardeningRule::q()
      • IsotropicHardeningRule::dq_da()
• Kinematic hardening
  • Overview
  • Implementations
    • Linear kinematic hardening
      • Overview
      • Parameters
      • Class description
        • LinearKinematicHardeningRule
          • LinearKinematicHardeningRule::LinearKinematicHardeningRule()
          • LinearKinematicHardeningRule::q()
          • LinearKinematicHardeningRule::dq_da()
          • LinearKinematicHardeningRule::H()
          • LinearKinematicHardeningRule::type()
          • LinearKinematicHardeningRule::initialize()
          • LinearKinematicHardeningRule::parameters()
  • Class description
    • KinematicHardeningRule
      • KinematicHardeningRule::KinematicHardeningRule()
      • KinematicHardeningRule::populate_hist()
      • KinematicHardeningRule::init_hist()
      • KinematicHardeningRule::q()
      • KinematicHardeningRule::dq_da()
• Combined isotropic/kinematic hardening
  • Overview
  • Parameters
  • Class description
    • CombinedHardeningRule
      • CombinedHardeningRule::CombinedHardeningRule()
      • CombinedHardeningRule::populate_hist()
      • CombinedHardeningRule::init_hist()
      • CombinedHardeningRule::q()
      • CombinedHardeningRule::dq_da()
      • CombinedHardeningRule::type()
      • CombinedHardeningRule::initialize()
      • CombinedHardeningRule::parameters()

Class description

class HardeningRule : public neml::HistoryNEMLObject

Interface for a generic hardening rule.

Subclassed by neml::CombinedHardeningRule, neml::IsotropicHardeningRule, neml::KinematicHardeningRule

Public Functions

HardeningRule(ParameterSet &params)

virtual void q(const double *const alpha, double T, double *const qv) const = 0

The map between strain-like and stress-like variables.

virtual void dq_da(const double *const alpha, double T, double *const dqv) const = 0

The derivative of the map.