SlipSingleStrengthHardening¶

Overview¶

This object further degenerates the general SlipSingleHardening model to where the (single) slip system strength is equal to some static strength, a contribution from a single internal variable, defined by a scalar rate equation, and a contribution from the Nye tensor. If this scalar history variable is $\tilde{\tau}$ the history map is

$\bar{\tau} = \tilde{\tau} + \tau_0 + \tau_{nye}$

where $\tau_0$ is some static strength that does not evolve with time and $\tau_{nye}$ is a function of the Nye tensor $\bm{\alpha}$ . The Nye tensor contribution defaults to zero, which gives a classical slip hardening model.

The remaining interface must provide the evolution equation, and associated partial derivatives, of the scalar history variable:

$\dot{\tilde{\tau}}, \frac{\partial \dot{\tilde{\tau}}}{\partial \bm{\sigma}}, \frac{\partial \dot{\tilde{\tau}}}{\partial \tilde{\tau}}, \tau_0 \leftarrow \mathcal{H}\left(\bm{\sigma}, \tilde{\tau}, \bm{\alpha}, T \right).$

Implementations¶

PlasticSlipHardening

Class description¶

class SlipSingleStrengthHardening : public neml::SlipSingleHardening ¶

Slip strength rule where all systems evolve on a single scalar strength.

Subclassed by neml::PlasticSlipHardening

Public Functions

SlipSingleStrengthHardening(ParameterSet &params)¶

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

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 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.

virtual History d_hist_d_h_ext(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed, std::vector<std::string> ext) const¶: Derivative of this history wrt the history, external variables.

virtual double hist_map(const History &history, double T, const History &fixed) const¶: The scalar map.

virtual History d_hist_map(const History &history, double T, const History &fixed) const¶: The derivative of the scalar map.

void set_variable(std::string name)¶: Set the variable’s name.

virtual double static_strength(double T) const = 0¶: Static (not evolving) strength.

double nye_contribution(const History &fixed, double T) const¶: Nye contribution (defaults to zero)

virtual double nye_part(const RankTwo &nye, double T) const¶: Actual implementation of any Nye contribution (defaults to zero)

virtual double init_strength() const = 0¶: Setup the scalar.

virtual double hist_rate(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed) const = 0¶: Scalar evolution law.

virtual Symmetric d_hist_rate_d_stress(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed) const = 0¶: Derivative of scalar law wrt stress.

virtual History d_hist_rate_d_hist(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed) const = 0¶: Derivative of scalar law wrt the scalar.

virtual History d_hist_rate_d_hist_ext(const Symmetric &stress, const Orientation &Q, const History &history, Lattice &L, double T, const SlipRule &R, const History &fixed, std::vector<std::string> ext) const = 0¶: Derivative of the scalar law wrt all others.