Arruda-Boyce
The Arruda-Boyce material model is described in terms of the strain energy potential, W, as follows:
where
is the initial shear modulus.
is the limiting network stretch.
is the incompressibility parameter.
where K is the initial bulk modulus.
is the first deviatoric strain invariant defined as follows:
where the deviatoric stretches are given as follows:
J is the total volumetric ratio.
is the elastic volume ratio given by
where 
.
.where 
is the coefficient of thermal expansion.
is the coefficient of thermal expansion.T is the model temperature.
T0 is the reference temperature.
When you select Arruda-Boyce material model to define the hyperelastic material, you must specify values for (mu), (lambda_m), and . The value of lambda_m must be greater than 1.
(mu), (lambda_m), and . The value of lambda_m must be greater than 1.For materials that are nearly incompressible, Creo Simulate uses incompressibility conditions. If the specified value of D is less than
, Creo Simulate uses following value of D during analysis:
, Creo Simulate uses following value of D during analysis:D =.
.where G is the initial shear modulus.
Creo Simulate calculates these coefficients when you select Arruda-Boyce material model on the Hyperelastic Material Definition dialog box. If you provide insufficient stress-strain data in the test area, Creo Simulate can not generate best fit curve for Arruda-Boyce material model and can not calculate the coefficients.
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