Anisotropic finite strain hyperelasticity based on the multiplicative decomposition of the deformation gradient

Abstract

In this contribution a new constitutive model for transversely isotropic materials is presented. The proposed model is based on the multiplicative decomposition of the deformation gradient into one part containing the deformation only in the direction of anisotropy and another part describing the remaining deformation. This clear assignment leads to a decoupling of the stress‐state. The model is investigated analytically in view of simple tension. Moreover, an inhomogenous deformation is solved using a finite elements simulation. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)