trans iso Veronda-Westmann

Module: solid

Category: material

Type string: "trans iso Veronda-Westmann"

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	\(\in \mathbb{R}\)
c3	c3	0	\(\in \mathbb{R}\)	P
c4	c4	0	\(\in \mathbb{R}\)
c5	c5	0	\(\in \mathbb{R}\)	P
lam_max	lam_max	1	\(\in \mathbb{R}\)
fiber	fiber		N/A
active_contraction	active_contraction		N/A

Description

The material type for transversely isotropic Veronda-Westmann materials is trans iso Veronda-Westmann ¹.

This uncoupled hyperelastic material differs from the Transversely Isotropic Mooney-Rivlin model in that it uses the Veronda-Westmann model for the isotropic matrix. The interpretation of the material parameters, except \(C_{1}\) and \(C_{2}\) is identical to this material model.

Example:

This example defines a transversely isotropic material model with a Veronda-Westmann basis. The fiber direction is implicitly implied as local.

<material id="3" type="trans iso Veronda-Westmann">
  <c1>13.85</c1>
  <c2>0.0</c2>
  <c3>2.07</c3>
  <c4>61.44</c4>
  <c5>640.7</c5>
  <lam_max>1.03</lam_max>
</material>

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1. Weiss, J.A., Gardiner, J.C., and C., Bonifasi-Lista, "Ligament material behavior is nonlinear, viscoelastic and rate-independent under shear loading", Journal of Biomechanics 35, 7 (2002), pp. 943-950. ↩