Reduced Polynomial Form of Order 2
The equation of strain energy potential, W in Reduced Polynomial form of order 2 is as follows:
where
![](../../../../../simulate/simulate/images/mooney_rivilin_C10.gif)
,
![](../../../../../simulate/simulate/images/poly_c20.gif)
,
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
,
![](../../../../../simulate/simulate/images/poly_d2.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:
When you select Reduced Polynomial form of order 2 material model
to define the hyperelastic material, you must specify values for
![](../../../../../simulate/simulate/images/mooney_rivilin_C10.gif)
,
![](../../../../../simulate/simulate/images/poly_c20.gif)
,
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
,
![](../../../../../simulate/simulate/images/poly_d2.gif)
.
For materials that are nearly incompressible,
Creo Simulate uses incompressibility conditions. If the specified values of
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
and
![](../../../../../simulate/simulate/images/poly_d2.gif)
is less than
![](../../../../../simulate/simulate/images/arruda_boyce8.gif)
,
Creo Simulate uses following values of
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
and
![](../../../../../simulate/simulate/images/poly_d2.gif)
during the analysis:
![](../../../../../simulate/simulate/images/mooney_rivilin_d.gif)
=
![](../../../../../simulate/simulate/images/arruda_boyce8.gif)
.
![](../../../../../simulate/simulate/images/poly_d2.gif)
=
![](../../../../../simulate/simulate/images/arruda_boyce8.gif)
where G is the initial shear modulus.
Creo Simulate calculates these constants when you select Reduced Polynomial form of order 2 material model on the
Hyperelastic Material Definition dialog box.