FASlipHardening¶

Overview¶

This model provides an empirical Frederick-Armstrong type hardening response on each individual slip system. The hardening evolution on each system is independent of all other systems and each slip system can have its own parameters

$\dot{\bar{\tau}}_{k} = k_k \left(\dot{\gamma}_k - \frac{\bar{\tau}_k}{\tau_{sat,k}} \left| \dot{\gamma}_k \right| \right)$

Parameters¶

Parameter	Object type	Description	Default
`k`	`std::vector`	Hardening prefactors	N
`sat`	`std::vector`	Saturated hardening values	N

Class description¶

class FASlipHardening : public neml::SlipHardening ¶

Frederick-Armstrong type hardening.

Public Functions

FASlipHardening(ParameterSet &params)¶

virtual std::vector<std::string> varnames() const¶: Report your variable names.

virtual void set_varnames(std::vector<std::string> vars)¶: Set new varnames.

virtual void populate_hist(History &history) const¶: Request whatever history you will need.

virtual void init_hist(History &history) const¶: Setup history.

virtual double hist_to_tau(size_t g, size_t i, const History &history, Lattice &L, double T, const History &fixed) const¶: Map the set of history variables to the slip system hardening.

virtual History d_hist_to_tau(size_t g, size_t i, const History &history, Lattice &L, double T, const History &fixed) const¶: Derivative of the map wrt to history.

virtual History hist(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed) const¶: The rate of the history.

virtual History d_hist_d_s(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed) const¶: Derivative of the history wrt stress.

virtual History d_hist_d_h(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed) const¶: Derivative of the history wrt the history.

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.