PowerLawSlipRule

Overview

This implements the standard power law model for the slip rate:

$\dot{\gamma}_{g,i} = \dot{\gamma}_0 \left| \frac{\tau_{g,i}}{\bar{\tau}_{g,i}} \right|^{\left(n-1\right)} \frac{\tau_{g,i}}{\bar{\tau}_{g,i}}$

where $\dot{\gamma}_0$ , the reference slip rate, and $n$ , the rate sensitivity, are temperature-dependent parameters.

Parameter	Object type	Description	Default
`strength`	`neml::SlipHardening`	Slip hardening definition	No
`gamma0`	`neml::Interpolate`	Reference slip rate	No
`n`	`neml::Interpolate`	Rate sensitivity	No

class PowerLawSlipRule : public neml::SlipStrengthSlipRule 

The standard power law slip strength/rate relation.

Public Functions

PowerLawSlipRule(ParameterSet &params): Initialize with the strength object, the reference strain rate, and the rate sensitivity

virtual double scalar_sslip(size_t g, size_t i, double tau, double strength, double T) const: The slip rate definition.

virtual double scalar_d_sslip_dtau(size_t g, size_t i, double tau, double strength, double T) const: Derivative of slip rate with respect to the resolved shear.

virtual double scalar_d_sslip_dstrength(size_t g, size_t i, double tau, double strength, double T) const: Derivative of the slip rate with respect to the strength.

Public Static Functions

static std::unique_ptr<NEMLObject> initialize(ParameterSet &params): Initialize from a parameter set.