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relaxation-Malkin-distortion

Module: solid

Category: materialprop

Type string: "relaxation-Malkin-distortion"

Parameters

Name Description Default Range Units
t1c0 constant for tau1 0 \(\gt 0\) t
t1c1 coefficient for tau1 0 \(\in \mathbb{R}\) t
t1s0 strain for tau1 1 \(\gt 0\)
t2c0 constant for tau2 0 \(\gt 0\) t
t2c1 coefficient for tau2 0 \(\in \mathbb{R}\) t
t2s0 strain for tau2 1 \(\gt 0\)
beta power exponent beta 1 \(\gt 0\)

Description

See Section relaxation-malkin for the description of this relaxation function. When the material parameters vary with the distortional strain \(K_{2}\) according to

\[ \begin{aligned}\tau_{1}\left(K_{2}\right) & =\tau_{10}+\tau_{11}\exp\left(-\frac{K_{2}}{s_{1}}\right)\\ \tau_{2}\left(K_{2}\right) & =\tau_{20}+\tau_{21}\exp\left(-\frac{K_{2}}{s_{2}}\right) \end{aligned} \]

The material type is relaxation-Malkin-distortion.

The definition of \(K_{2}\) is given in relaxation-exp-dist-user and examples of how to specify these functions can be found there as well.