The finite element studies of hyperelastic materials always need founding a
mathematical model describes the behavior of their elements. Several
constitutive models differ in matching accuracy, can describe the behavior of
hyperelastic material, such as Neo-Hookean, Yeoh, and Mooney-Rivlin, which
are all derived from the strain energy density function.
Founding a mathematical model describing some hyperelastic material's
behavior means the determination of the constitutive model's invariants, which
are considered material parameters.
In this work, the two-parameter Mooney-Rivlin model was chosen to
demonstrate the procedure of forming the mathematical model that describes the
mechanical behavior of an incompressible hyperelastic material. Comparing
with those results taken from Abaqus, obtained results were very close and
exhibited a lower absolute error. This procedure can be considered as a general
method to describe the hyperelastic materials by the other polynomial