Rayleigh-Lamb Waves in an Elastic Plate With Voids

[+] Author and Article Information
D. S. Chandrasekharaiah

Department of Mathematics, Bangalore University, Central College Campus, Bangalore, India 560 001

J. Appl. Mech 54(3), 509-512 (Sep 01, 1987) (4 pages) doi:10.1115/1.3173061 History: Received June 23, 1986; Revised September 15, 1986; Online July 21, 2009


Rayleigh-Lamb waves in a homogeneous and isotropic linear elastic plate containing a distribution of vacuous pores (voids) are studied. Assuming that the plate is of uniform thickness and that its faces are stress-free, it is found that the waves move, in general, in two uncoupled families, of which one is symmetrical with respect to the midplane of the plate and the other antisymmetrical; each of these families is affected by the presence of voids. If the plate is thin and the frequency is small, the voids influence only the symmetric waves and, because of this influence, the waves propagate slower than their classical counterparts. If the plate thickness and the frequency are large, each of the two families degenerates into two uncoupled waves; one of these is a classical Rayleigh wave and the other is a new wave not encountered in the classical theory.

Copyright © 1987 by ASME
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