Stress Analysis for a Nonlinear Viscoelastic Compressible Cylinder

[+] Author and Article Information
E. C. Ting

School of Aeronautics, Astronautics, and Engineering Sciences, Purdue University, Lafayette, Ind.

J. Appl. Mech 37(4), 1127-1133 (Dec 01, 1970) (7 pages) doi:10.1115/1.3408669 History: Received October 20, 1969; Online July 12, 2010


Real solids are not incompressible, although many viscoelastic materials which undergo large deformations show only small changes in volume under ordinary loading conditions. This paper is concerned with a pressurized isotropic viscoelastic hollow cylinder bonded to an elastic casing in which, during a finite deformation, the dilatational change in any element of the cylinder is a small quantity. The analysis is based in part upon the theory of small deformations superposed on finite deformations. Numerical calculations are evaluated by using finite-difference techniques and assuming particular forms of kernel functions in the stress-strain relation. The results for compressible and incompressible materials are compared.

Copyright © 1970 by ASME
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