On Obtaining Solutions in Nonlinear Viscoelasticity

[+] Author and Article Information
R. M. Christensen

Department of Applied Mechanics, University of California, Berkeley, Calif.

J. Appl. Mech 35(1), 129-133 (Mar 01, 1968) (5 pages) doi:10.1115/1.3601125 History: Received March 09, 1967; Online September 14, 2011


A derivation is given of a particular form of the isothermal nonlinear stress constitutive relation for materials with fading memory. This particular derivation results in a form for the constitutive relations that is well suited for application in solving boundary-value problems. The resulting forms are applied to obtain the exact quasi-static solution for the torsion of a right circular isotropic viscoelastic cylinder. Several effects due to the nonlinearity of the problem are discussed.

Copyright © 1968 by ASME
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