Elastoplastic Wave Propagation in a Rate-Sensitive Finite Rod Having a Thermal Gradient

[+] Author and Article Information
P. H. Francis

Department of Mechanical Sciences, Southwest Research Institute, San Antonio, Texas

J. Appl. Mech 37(2), 315-323 (Jun 01, 1970) (9 pages) doi:10.1115/1.3408508 History: Received December 26, 1968; Revised November 10, 1969; Online April 06, 2010


In this paper, the problem of one-dimensional wave propagation in a bar of a thermally sensitive viscoplastic material is considered. A constitutive equation is developed which explicitly accounts for the thermal state in both the elastic and inelastic components of the strain rate. A computational technique is proposed for solving the governing hyperbolic system of equations. This technique is a synthesis of the finite-difference method and the method of characteristics, and utilizes the most attractive features of both for solving nonlinear problems involving the propagation of strong discontinuities. Some results are shown for the propagation of waves through both decreasing and increasing temperature fields.

Copyright © 1970 by ASME
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