Numerical Solution for Two-Dimensional Elastic Wave Propagation in Finite Bars

[+] Author and Article Information
L. D. Bertholf

Sandia Laboratory, Albuquerque, N. Mex.

J. Appl. Mech 34(3), 725-734 (Sep 01, 1967) (10 pages) doi:10.1115/1.3607768 History: Received December 01, 1966; Online September 14, 2011


Numerical solutions of the exact equations for axisymmetric wave propagation are obtained with continuous and discontinuous loadings at the impact end of an elastic bar. The solution for a step change in stress agrees with experimental data near the end of the bar and exhibits a region that agrees with the one-dimensional strain approximation. The solution for an applied harmonic displacement closely approaches the Pochhammer-Chree solution at distances removed from the point of application. Reflections from free and rigid-lubricated ends are studied. The solutions after reflection are compared with the elementary one-dimensional stress approximation.

Copyright © 1967 by ASME
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