Diffraction of a Plane Pulse by a Semi-Infinite Barrier at a Fluid-Solid Interface

[+] Author and Article Information
L. B. Freund, J. D. Achenbach

Department of Civil Engineering, Northwestern University, Evanston, Ill.

J. Appl. Mech 34(3), 571-578 (Sep 01, 1967) (8 pages) doi:10.1115/1.3607745 History: Received August 23, 1966; Revised February 07, 1967; Online September 14, 2011


Transient diffraction of a plane, dilatational pulse of arbitrary shape is considered. The diffracting surface is a smooth, rigid barrier separating a semi-infinite elastic solid and a semi-infinite ideal fluid over half of the common boundary. The problem is solved by the Wiener-Hopf technique, in conjunction with a superposition principle and a version of Cagniard’s method. Real integral expressions are obtained for the displacement potentials in the solid and in the fluid. For an incident displacement impulse, closed-form expressions are derived for the displacement field. For this case, the displacements at the solid-fluid interface are shown in graphs and are compared with the corresponding surface displacements when the fluid is absent.

Copyright © 1967 by ASME
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