The Influence of the Curvature of Spherical Waves on Dynamic Stress Concentration

[+] Author and Article Information
F. C. Moon

Department of Mechanical Engineering, University of Delaware, Newark, Del.

Y-H. Pao

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y.

J. Appl. Mech 34(2), 373-379 (Jun 01, 1967) (7 pages) doi:10.1115/1.3607692 History: Received June 20, 1966; Revised October 04, 1966; Online September 14, 2011


From a study of scattering of spherical compressional waves by a spherical cavity in an elastic solid, the dynamic stresses on the surface of the cavity are computed and compared with those due to plane compressional waves. At low frequencies, stresses due to spherical waves, even with a very small curvature, are higher than the corresponding ones for plane waves. Only when the incident wavelength is shorter than the distance between the source and the cavity can a spherical wave be approximated by a plane wave.

Copyright © 1967 by ASME
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