On Wave Modes With Zero Group Velocity in an Elastic Layer

[+] Author and Article Information
J. L. Tassoulas

Department of Civil Engineering, The University of Texas at Austin, Austin, Texas 78712

T. R. Akylas

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass. 02139

J. Appl. Mech 51(3), 652-656 (Sep 01, 1984) (5 pages) doi:10.1115/1.3167688 History: Received July 01, 1983; Revised February 01, 1984; Online July 21, 2009


A study is made of time-harmonic wave modes in an elastic layer in plane strain with traction-free surfaces. It is demonstrated that, at points of the Rayleigh-Lamb frequency spectrum where the group velocity vanishes, there exist nonseparable time-harmonic modes in which the amplitudes of the displacements vary linearly in the direction along the layer. These modes are used to explain the terrace-like structure of the free-vibration frequency spectrum of a circular disk.

Copyright © 1984 by ASME
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