Rate independent flow rule

Overview

A rate independent flow rule provides the interface

is a yield surface, is a flow function defining the direction of plastic flow, and is a history evolution function. This interface is used to define a Rate independent plasticity model.

The base interface is entirely abstract. It maintains a set of history variables set by the specific implementation.

Implementations

• Rate independent associative flow
  • Overview
  • Parameters
  • Class description
    • RateIndependentAssociativeFlow
      • RateIndependentAssociativeFlow::RateIndependentAssociativeFlow()
      • RateIndependentAssociativeFlow::populate_hist()
      • RateIndependentAssociativeFlow::init_hist()
      • RateIndependentAssociativeFlow::f()
      • RateIndependentAssociativeFlow::df_ds()
      • RateIndependentAssociativeFlow::df_da()
      • RateIndependentAssociativeFlow::g()
      • RateIndependentAssociativeFlow::dg_ds()
      • RateIndependentAssociativeFlow::dg_da()
      • RateIndependentAssociativeFlow::h()
      • RateIndependentAssociativeFlow::dh_ds()
      • RateIndependentAssociativeFlow::dh_da()
      • RateIndependentAssociativeFlow::type()
      • RateIndependentAssociativeFlow::initialize()
      • RateIndependentAssociativeFlow::parameters()
• Rate independent nonassociative flow
  • Overview
  • Parameters
  • Class description
    • RateIndependentNonAssociativeHardening
      • RateIndependentNonAssociativeHardening::RateIndependentNonAssociativeHardening()
      • RateIndependentNonAssociativeHardening::populate_hist()
      • RateIndependentNonAssociativeHardening::init_hist()
      • RateIndependentNonAssociativeHardening::f()
      • RateIndependentNonAssociativeHardening::df_ds()
      • RateIndependentNonAssociativeHardening::df_da()
      • RateIndependentNonAssociativeHardening::g()
      • RateIndependentNonAssociativeHardening::dg_ds()
      • RateIndependentNonAssociativeHardening::dg_da()
      • RateIndependentNonAssociativeHardening::h()
      • RateIndependentNonAssociativeHardening::dh_ds()
      • RateIndependentNonAssociativeHardening::dh_da()
      • RateIndependentNonAssociativeHardening::type()
      • RateIndependentNonAssociativeHardening::initialize()
      • RateIndependentNonAssociativeHardening::parameters()

Class description

class RateIndependentFlowRule : public neml::HistoryNEMLObject

ABC describing rate independent flow.

Subclassed by neml::RateIndependentAssociativeFlow, neml::RateIndependentNonAssociativeHardening

Public Functions

RateIndependentFlowRule(ParameterSet &params)

virtual void f(const double *const s, const double *const alpha, double T, double &fv) const = 0

Yield surface.

virtual void df_ds(const double *const s, const double *const alpha, double T, double *const dfv) const = 0

Partial derivative of the surface wrt stress.

virtual void df_da(const double *const s, const double *const alpha, double T, double *const dfv) const = 0

Partial derivative of the surface wrt history.

virtual void g(const double *const s, const double *const alpha, double T, double *const gv) const = 0

Flow function.

virtual void dg_ds(const double *const s, const double *const alpha, double T, double *const dgv) const = 0

Partial derivative of the flow function wrt stress.

virtual void dg_da(const double *const s, const double *const alpha, double T, double *const dgv) const = 0

Partial derivative of the flow function wrt history.

virtual void h(const double *const s, const double *const alpha, double T, double *const hv) const = 0

Hardening rule.

virtual void dh_ds(const double *const s, const double *const alpha, double T, double *const dhv) const = 0

Partial derivative of the hardening rule wrt. stress.

virtual void dh_da(const double *const s, const double *const alpha, double T, double *const dhv) const = 0

Partial derivative of the hardening rule wrt. history.