trans iso Veronda-Westmann¶

Module: solid

Category: material

Type string: "trans iso Veronda-Westmann"

Parameters¶

Name	Description	Default	Units
`density`	density	1	[M/L^3]
`k`	bulk modulus	0	[P]
`pressure_model`	pressure_model	0	[]
`c1`	c1	0	[P]
`c2`	c2	0	[]
`c3`	c3	0	[P]
`c4`	c4	0	[]
`c5`	c5	0	[P]
`lam_max`	lam_max	1	[]
`fiber`			[]
`active_contraction`			[]

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>

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. ↩