Mooney-Rivlin
The Mooney-Rivlin material model is described in terms of the strain energy potential, W, as follows:
where
![](../../../../../simulate/simulate/images/mooney_rivilin_C10.gif)
,
![](../../../../../simulate/simulate/images/mooney_rivilin_C01.gif)
, and
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
are material constants.
You can use materials constants to calculate the initial shear modulus as follows:
You can also calculate initial bulk modulus for the material as follows:
Here
![](../../../../../simulate/simulate/images/arruda_boyce_i1.gif)
is the first deviatoric strain invariant and
![](../../../../../simulate/simulate/images/mooney_rivilin_i2.gif)
is the second deviatoric strain invariant.
When you select
Mooney-Rivlin material model
to define the hyperelastic material, you must specify values for
![](../../../../../simulate/simulate/images/mooney_rivilin_C10.gif)
,
![](../../../../../simulate/simulate/images/mooney_rivilin_C01.gif)
, and
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
.
For materials that are nearly incompressible,
Creo Simulate uses incompressibility conditions. If the specified value of
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
is less than
![](../../../../../simulate/simulate/images/arruda_boyce8.gif)
,
Creo Simulate uses following value of
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
during analysis:
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
=
![](../../../../../simulate/simulate/images/arruda_boyce8.gif)
.
where G is the initial shear modulus.
Creo Simulate calculates these constants when you select
Mooney-Rivlin material model on the
Hyperelastic Material Definition dialog box. If you create only the
Planar test in the test area of the
Hyperelastic Material Definition dialog box,
Creo Simulate can not calculate these constants for
Mooney-Rivlin material model. You must create a
Uniaxial test or
Equibiaxial test.