Finite strains: Objective rates, conjugate stress tensors, constitutive equations for composite materials

Abstract

Theoretical problems of the kinematics of continuum under the conditions of finite strains are considered; the technique for development of constitutive equations for isotropic and composite hyperelastic media is presented. A system of principal directions of the left and right tensors of distortions that determine material (Lagrangian) and spatial (Eulerian) tensors are taken as a basis. Such an approach allows construction of stress tensors conjugate to any strain tensor which is demonstrated by a number of examples. 2152-2057/10/$35.00©2010 by Begell House, Inc.