Numerical Simulation for Fibre Reinforced Rubber

Abstract

On the basis of hyperelastic material behavior various forms of the strain energy density function, depending either on the invariants of the right Cauchy-Green deformation tensor or on the principal stretches, have been proposed under the isotropy assumption. If a material behaves transversely isotropic behavior with respect to the reference configuration, then the strain energy function can depend on five principal invariants. Five principal invariants are ordinary three invariants and additional fourth and fifth invariants. In the area of automotive belt designing technique, the most material of belt is composed of fiber reinforced hyperelastic. In this paper, we propose the polynomial strain energy function and determinate its material constants for the fiber reinforced material.