SHEAR AND NORMAL STRESS EFFECTS IN FINITE CIRCULAR SHEAR OF A COMPRESSIBLE NONLINEAR VISCOELASTIC SOLID

A non-linear single integral constitutive equation is developed for a compressible isotropic viscoelastic solid. Its initial elastic and equ ilibrium responses are given by the generalized Blatz-Ko model for com pressible isotropic non-linear elasticity. A reduced time is introduce d which causes stress relaxation to be accelerated by volume change an d/or shear deformation. The constitutive equation is used to study cir cular shear of a hollow cylinder which is bonded to a rigid support at its inner surface and a rigid shell at its outer surface. Two kinds o f loading conditions on the shell are investigated, moment control and rotation control. The circular shear causes interior cylindrical surf aces to rotate about the center line and radially expand or contract. The results show the strong influence on the radial distribution and t ime variation of important physical quantities of two important featur es of the constitutive equation, the specific form of dependence on th e strain tensors and the volume and/or shear dependence of the reduced time. (C) 1996 Elsevier Science Ltd.