recruitment quintic

Module: solid

Category: materialprop

Type string: "recruitment quintic"

Parameters

Name	Description	Default	Units
mumin	mumin	0	[]
mumax	mumax	1	[]
max	max recruitment increase	0	[]

Description

The material type for a quintic polynomial bond recruitment function is recruitment quintic.

For this material the bond recruitment function is given by

\[ F\left(\Xi\right)=\begin{cases} 1 & \Xi\leqslant\mu_{\min}\\ 1+rx^{3}\left(10-15x+6x^{2}\right) & \mu_{\min}<\Xi\leqslant\mu_{\max}\\ 1+r & \mu_{\max}<\Xi \end{cases}\,,\quad x=\frac{\Xi-\mu_{\min}}{\mu_{\max}-\mu_{\min}}\,. \]

Its minimum value is \(1\) and its maximum value is \(1+r\) when \(\Xi\ge\mu_{\text{max}}\).

Example:

<recruitment type="recruitment quintic">
  <mumin>0.2</mumin>
  <mumax>0.4</mumax>
  <Dmax>4</Dmax>
</recruitment>