EFD Mooney-Rivlin

Module: solid

Category: material

Type string: "EFD Mooney-Rivlin"

Parameters

Name	Description	Default	Range	Units
density	density	1	\(\ge 0\)	M/L^3
k	bulk modulus	0	\(\ge 0\)	P
pressure_model	pressure_model	0	\([0, 3]\)
c1	c1	0	\(\in \mathbb{R}\)	P
c2	c2	0	\(\in \mathbb{R}\)	P
beta	beta		\(\in \mathbb{R}\)
ksi	ksi		\(\in \mathbb{R}\)	P

Description

The material type for a Mooney-Rivlin material with an ellipsoidal continuous fiber distribution is EFD Mooney-Rivlin.

The stress \(\tilde{\boldsymbol{\sigma}}\) for this material is given by,

\[ \tilde{\boldsymbol{\sigma}}=\tilde{\boldsymbol{\sigma}}_{MR}+\tilde{\boldsymbol{\sigma}}_{f}\,. \]

Here, \(\tilde{\boldsymbol{\sigma}}_{MR}\) is the stress from the Mooney-Rivlin basis (see Mooney-Rivlin), and \(\tilde{\boldsymbol{\sigma}}_{f}\) is the stress contribution from the ellipsoidal fiber distribution (see EFD-Uncoupled).

Example:

<material id="1" type="EFD Mooney-Rivlin">
  <c1>1</c1>
  <c2>0</c2>
  <beta>4.5,4.5,4.5</beta>
  <ksi>1,1,1</ksi>
  <k>20000</k>
  <mat_axis type="local">0,0,0</mat_axis>
</material>