Displacements and Velocities Produced by the Diffraction of a Pressure Wave by a Cylindrical Cavity in an Elastic Medium

[+] Author and Article Information
M. L. Baron, R. Parnes

Paul Weidlinger, Consulting Engineer, New York, N. Y.

J. Appl. Mech 29(2), 385-395 (Jun 01, 1962) (11 pages) doi:10.1115/1.3640559 History: Received March 08, 1961; Online September 16, 2011


An infinitely long cylindrical cavity in an infinite elastic homogeneous and isotropic medium is enveloped by a plane shock wave whose front is parallel to the axis of the cavity. The displacement and velocity fields produced by the diffraction of the wave by the cavity are determined by means of an integral transform technique. Expressions for the radial and tangential components of the displacements and velocities are derived, and numerical results are presented for these quantities at the cavity boundary. Results for the mean (rigid-body component) motion of the cavity boundary are also presented. The problem is considered for pressure waves with a step distribution in time. The results may be used as influence coefficients to determine, by means of Duhamel integrals, the velocity and displacement fields produced by waves with time-varying pressure.

Copyright © 1962 by ASME
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