Affiliation:
1. Paul Weidlinger, Consulting Engineer, New York, N. Y.
Abstract
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.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
31 articles.
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