relaxation-CSexp¶
Module: solid
Category: materialprop
Type string: "relaxation-CSexp"
Parameters¶
| Name | Description | Default | Units |
|---|---|---|---|
tau |
exponential spectrum constant | 0 | [t] |
Description¶
This relaxation function is derived from a continuous exponential relaxation spectrum, see FEBio Theory Manual. The material type for this relaxation function is relaxation-CSexp.
This parameter must satisfy \(\tau>0\). The reduced relaxation function for this material type is given by
\[
g\left(t\right)=2\sqrt{\frac{t}{\tau}}K_{1}\left(2\sqrt{\frac{t}{\tau}}\right)
\]
where \(K_{1}\left(z\right)\) is the modified Bessel function of the second kind, of order 1.