Norton-Bailey creep¶

Overview¶

This implements the Norton-Bailey creep model

$\varepsilon^{cr} = A \sigma_{eff}^n t^m$

implemented in the strain-hardening formulation

$\dot{\varepsilon}^{cr} = m A^\frac{1}{m} \sigma^\frac{n}{m} \varepsilon_{eff}^\frac{m-1}{m}.$

Parameter	Object type	Description	Default
`A`	`neml::Interpolate`	Prefactor	No
`m`	`neml::Interpolate`	Stress exponent	No
`n`	`neml::Interpolate`	Time exponent	No

class NortonBaileyCreep : public neml::ScalarCreepRule ¶

Classical Norton-Bailey creep.

Public Functions

NortonBaileyCreep(ParameterSet &params)¶: Parameters: prefactor A, stress exponent n, time exponent m.

virtual void g(double seq, double eeq, double t, double T, double &g) const¶: creep rate = m * A**(1/m) * seq**(n/m) * eeq ** ((m-1)/m)

virtual void dg_ds(double seq, double eeq, double t, double T, double &dg) const¶: Derivative of creep rate wrt effective stress.

virtual void dg_de(double seq, double eeq, double t, double T, double &dg) const¶: Derivative of creep rate wrt effective strain.

Public Static Functions

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