Blackburn minimum creep rate model¶

Overview¶

This object implements the minimum creep rate model given in [B1972]:

$\dot{\varepsilon}^{cr} = A \sinh{\frac{\beta \sigma_{eq}}{n}}^n \exp{\frac{-Q}{RT}}$

for temperature dependent parameters $A$ , $\beta$ , and $\beta$ and constants $R$ and $Q$ .

Parameter	Object type	Description	Default
`A`	`neml::Interpolate`	Prefactor	No
`n`	`neml::Interpolate`	Exponent	No
`beta`	`neml::Interpolate`	Exponential factor	No
`R`	`double`	Gas constant	No
`Q`	`double`	Activation energy	No

class BlackburnMinimumCreep : public neml::ScalarCreepRule ¶

Creep rate law from Blackburn 1972.

Public Functions

virtual void g(double seq, double eeq, double t, double T, double &g) const¶: rate = A * (sinh(beta*s/n)^n * exp(-Q/(R*T))

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

virtual void dg_de(double seq, double eeq, double t, double T, double &dg) const¶: Derivative of rate wrt effective strain = 0.

virtual void dg_dT(double seq, double eeq, double t, double T, double &dg) const¶: Derivative of rate wrt temperature.

Public Static Functions

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