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RESEARCH PAPERS

Wave-Front Stress Relaxation in a One-Dimensional Nonlinear Inelastic Material With Temperature and Position Dependent Properties

[+] Author and Article Information
R. P. Shaw, F. A. Cozzarelli

Division of Interdisciplinary Studies and Research, State University of New York at Buffalo, Buffalo, N. Y.

J. Appl. Mech 38(1), 47-50 (Mar 01, 1971) (4 pages) doi:10.1115/1.3408765 History: Received February 26, 1969; Online July 12, 2010

Abstract

Analytical solutions are obtained for stress, velocity, and strain at the wave front in a suddenly loaded semi-infinite rod of a material with a linear instantaneous response and nonlinear inelastic response. The material properties are assumed to depend on position directly or through a dependence on a prescribed nonuniform temperature field. Detailed solutions are obtained for two examples—a nonlinear viscoelastic material with temperature dependent parameters and a rate-sensitive plastic material which may have temperature dependent parameters and yield point.

Copyright © 1971 by ASME
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