relaxation-Park-distortion¶
Module: solid
Category: materialprop
Type string: "relaxation-Park-distortion"
Parameters¶
| Name | Description | Default | Units |
|---|---|---|---|
tau0 |
constant coefficient tau0 | 0 | [t] |
tau1 |
power coefficient tau1 | 0 | [t] |
beta0 |
constant coefficient beta0 | 0 | [] |
beta1 |
power coefficient beta1 | 0 | [] |
alpha |
power exponent alpha | 1 | [] |
Description¶
The material type for this relaxation function is relaxation-Park-distortion.
The reduced relaxation function for this material type is given by
\[
g\left(\mathbf{F}\left(v\right);t-v\right)=\frac{1}{1+\left(\frac{t-v}{\tau}\right)^{\beta}}
\]
where
\[
\tau=\tau_{0}+\tau_{1}\cdot\left(K_{2}\left(v\right)\right)^{\alpha}
\]
and
\[
\beta=\beta_{0}+\beta_{1}\cdot\left(K_{2}\left(v\right)\right)^{\alpha}
\]
The definition of \(K_{2}\left(v\right)\) is given in relaxation-exp-dist-user.