Hardening models

NEML uses two types of hardening models: simple models intended for use with associative plasticity and nonassociative hardening models. The simple models only need to define the map between the “strain-like” history variables and the “stress-like” internal variables that feed into the Yield surfaces. Nonassociative models need to define both this map and the hardening evolution rate for each “strain-like” internal variable.

The same set of classes are used to implement isotropic and kinematic hardening.

• Simple hardening rules
  • Overview
  • 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
    • HardeningRule
      • HardeningRule::HardeningRule()
      • HardeningRule::q()
      • HardeningRule::dq_da()
• Nonassociative hardening rules
  • Overview
  • Implementations
    • Chaboche nonassociative hardening
      • Overview
      • Parameters
      • Class description
        • Chaboche
          • Chaboche::Chaboche()
          • Chaboche::ninter()
          • Chaboche::populate_hist()
          • Chaboche::init_hist()
          • Chaboche::q()
          • Chaboche::dq_da()
          • Chaboche::h()
          • Chaboche::dh_ds()
          • Chaboche::dh_da()
          • Chaboche::h_time()
          • Chaboche::dh_ds_time()
          • Chaboche::dh_da_time()
          • Chaboche::h_temp()
          • Chaboche::dh_ds_temp()
          • Chaboche::dh_da_temp()
          • Chaboche::n()
          • Chaboche::c()
          • Chaboche::type()
          • Chaboche::initialize()
          • Chaboche::parameters()
      • Gamma models
        • Class description
          • GammaModel
            • GammaModel::GammaModel()
            • GammaModel::gamma()
            • GammaModel::dgamma()
          • Constant gamma
        • Parameters
        • Class description
          • ConstantGamma
            • ConstantGamma::ConstantGamma()
            • ConstantGamma::gamma()
            • ConstantGamma::dgamma()
            • ConstantGamma::g()
            • ConstantGamma::type()
            • ConstantGamma::initialize()
            • ConstantGamma::parameters()
          • Saturating gamma
        • Parameters
        • Class description
          • SatGamma
            • SatGamma::SatGamma()
            • SatGamma::gamma()
            • SatGamma::dgamma()
            • SatGamma::gs()
            • SatGamma::g0()
            • SatGamma::beta()
            • SatGamma::type()
            • SatGamma::initialize()
            • SatGamma::parameters()
    • ChabocheVoceRecovery: a special variant of the Chaboche model
      • Overview
        • Voce reparameterization and recovery
        • Slight change to Chaboche static recovery
      • Parameters
      • Class description
        • ChabocheVoceRecovery
          • ChabocheVoceRecovery::ChabocheVoceRecovery()
          • ChabocheVoceRecovery::ninter()
          • ChabocheVoceRecovery::populate_hist()
          • ChabocheVoceRecovery::init_hist()
          • ChabocheVoceRecovery::q()
          • ChabocheVoceRecovery::dq_da()
          • ChabocheVoceRecovery::h()
          • ChabocheVoceRecovery::dh_ds()
          • ChabocheVoceRecovery::dh_da()
          • ChabocheVoceRecovery::h_time()
          • ChabocheVoceRecovery::dh_ds_time()
          • ChabocheVoceRecovery::dh_da_time()
          • ChabocheVoceRecovery::h_temp()
          • ChabocheVoceRecovery::dh_ds_temp()
          • ChabocheVoceRecovery::dh_da_temp()
          • ChabocheVoceRecovery::n()
          • ChabocheVoceRecovery::type()
          • ChabocheVoceRecovery::initialize()
          • ChabocheVoceRecovery::parameters()
  • Class description
    • NonAssociativeHardening
      • NonAssociativeHardening::NonAssociativeHardening()
      • NonAssociativeHardening::ninter()
      • NonAssociativeHardening::q()
      • NonAssociativeHardening::dq_da()
      • NonAssociativeHardening::h()
      • NonAssociativeHardening::dh_ds()
      • NonAssociativeHardening::dh_da()
      • NonAssociativeHardening::h_time()
      • NonAssociativeHardening::dh_ds_time()
      • NonAssociativeHardening::dh_da_time()
      • NonAssociativeHardening::h_temp()
      • NonAssociativeHardening::dh_ds_temp()
      • NonAssociativeHardening::dh_da_temp()