On material symmetry and deformation-induced anisotropy

Abstract

In this paper the symmetry concept is introduced for descriptions of the mechanical behaviour of materials. For any material there exist infinite descriptions for its mechanical behaviour whose symmetry groups need not be the same. It has been proved that any anisotropic description can be transformed into an isotropic or another anisotropic description whose symmetry group is a little larger than the original one. The concepts of reference configuration, reference state and reference element are introduced for a deseription. The method to calculate deformation induced anisotropy is also provided. © 1993 Kluwer Academic Publishers.