Transient Elastic Waves in a Transversely Isotropic Plate

[+] Author and Article Information
R. L. Weaver

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

W. Sachse, Kwang Yul Kim

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853-1503

J. Appl. Mech 63(2), 337-346 (Jun 01, 1996) (10 pages) doi:10.1115/1.2788870 History: Received December 08, 1993; Revised April 29, 1994; Online October 26, 2007


The elastodynamic response of a thick plate, with the axis of transverse isotropy normal to the plate surface, is calculated by double numerical inverse transforms, a method particularly well-suited for calculations of responses in the near field of layered structures. Applications of these calculations include point-source/point-receiver ultrasonics, quantitative acoustic emission measurements, and seismology. The singularities of the integrand are eliminated by the introduction of a small, but nonzero, imaginary part to the frequency. We discuss issues of numerical efficiency and accuracy in the evaluation of the resulting integrals. The method can be generalized to calculate the responses in materials of more general symmetry, in viscoelastic materials and to include the effects of finite aperture sources and receivers. The calculated responses are compared to those measured in a single crystal specimen of zinc.

Copyright © 1996 by The American Society of Mechanical Engineers
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