Propagation of a Shock Wave Front Through a Lens-Shaped Elastic Body

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

Department of Materials Engineering, University of Illinois at Chicago Circle, Chicago, Ill.

G. Herrmann

Department of Applied Mechanics, Stanford University, Stanford, Calif.

J. Appl. Mech 41(3), 691-696 (Sep 01, 1974) (6 pages) doi:10.1115/1.3423372 History: Received June 01, 1973; Revised February 01, 1974; Online July 12, 2010


Ray theory is used to solve the problem of a plane pressure pulse with a discontinuous pressure front striking an elastic body whose cross section has the shape of a lens. Both plane-strain and axisymmetric motions are considered. The front and back surfaces of the lens are assumed to be circular. The velocity and acceleration at the P-wave front and the discontinuity in acceleration at the S-wave front are obtained explicitly for points along the axis of the lens and at the center of the back surface where reflections occur. The purpose of this study is to assess the effect of the curvatures of the lens on the velocity-time history at the center of the back surface of the lens which can be measured experimentally. Comparison with a laboratory test shows excellent agreement between analytical and experimental results.

Copyright © 1974 by ASME
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