SubgrainCoarsening

Source: models/solid_mechanics/crystal_plasticity/SubgrainCoarsening.py

Diffusional coarsening of a subgrain structure, defined by \(\dot{\lambda} = \dfrac{\mu b^3 K}{k T} \dfrac{1}{\lambda}\) where \(\lambda\) is the subgrain size, \(\mu\) is the shear modulus, \(b\) is the Burgers vector, \(K\) is the coarsening coefficient, \(k\) is the Boltzmann constant and \(T\) is the absolute temperature.

\(K\) is a promotable parameter, so it may be supplied as a constant or driven by another model – an ArrheniusParameter for the usual thermally activated form.

Inputs

subgrain_size — input · Scalar · required

Current subgrain size

temperature — input · Scalar · required

Absolute temperature

Outputs

subgrain_size_rate — output · Scalar · default subgrain_size_rate

Optional name for the derived output (defaults to ‘subgrain_size_rate’, i.e. the ‘subgrain_size’ variable name with the ‘_rate’ suffix).

Parameters

coarsening_coefficient — parameter · Scalar · required

Coarsening coefficient

shear_modulus — parameter · Scalar · required

Shear modulus

burgers_vector — parameter · Scalar · required

Magnitude of the Burgers vector

Other options

boltzmann_constant — float · required

The Boltzmann constant, in units consistent with the other parameters