Diffraction of a Pressure Wave by a Cylindrical Cavity in an Elastic Medium

[+] Author and Article Information
M. L. Baron, A. T. Matthews

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

J. Appl. Mech 28(3), 347-354 (Sep 01, 1961) (8 pages) doi:10.1115/1.3641710 History: Received July 28, 1960; 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. An integral transform technique is used to determine the stress field produced in the medium by the diffraction of the incoming shock wave by the cavity. Expressions for the radial stress σrr , the hoop stress σθθ , and the shear stress σrθ are derived as inversion integrals, and numerical results are presented for the time-history of the hoop stress σθθ at the boundary of the cavity. The amplifications of the hoop-stress concentration factors due to the dynamic loading are noted. The problem is considered for pressure waves with a step distribution in time. These results may be used as influence coefficients to determine, by means of Duhamel integrals, the stress field produced by waves with time-varying pressures.

Copyright © 1961 by ASME
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