Multiple Diffractions of Elastic Waves by a Rigid Rectangular Foundation: Plane-Strain Model

[+] Author and Article Information
M. Dravinski, S. A. Thau

Department of Mechanics and Mechanical and Aerospace Engineering, Illinois Institute of Technology, Chicago, Ill.

J. Appl. Mech 43(2), 291-294 (Jun 01, 1976) (4 pages) doi:10.1115/1.3423826 History: Received August 01, 1975; Revised December 01, 1975; Online July 12, 2010


A rigid rectangular foundation embedded in an elastic half space moves in a direction perpendicular to the surface of the half space, Fig. 1. The model under consideration is of the plane-strain type. By application of the Laplace, Fourier, and Kontorovich-Lebedev (K-L) transforms, the equation of motion for the foundation is derived. The transient response of the foundation is exact during the period of time required for a longitudinal wave to traverse the base of the foundation twice. Thus the process of multiple diffractions at the corners of the foundation is taken into account.

Copyright © 1976 by ASME
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