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recruitment exponential

Module: solid

Category: materialprop

Type string: "recruitment exponential"

Parameters

Name Description Default Range Units
alpha alpha 1 \(\ge 0\)
mu0 mu0 1 \(\ge 0\)
mu1 mu1 0 \(\in \mathbb{R}\)
scale scale 1 \(\gt 0\)

Description

The material type for an exponential weak bond recruitment function is recruitment exponential.

For this material the recruitment function is given by,

\[ F\left(\Xi\right)=\mu_{0}\exp\left(\mu_{1}\left(\frac{\Xi}{s}\right)^{\alpha}\right) \]

where \(\Xi\) is the measure of strain that triggers a new reactive weak bond generation. This function is unbounded with increasing \(\Xi\). Users should typically employ \(\mu_{0}=1\).