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RESEARCH PAPERS

An Acoustoelastic Theory for Surface Waves in Anisotropic Media

[+] Author and Article Information
G. Thomas Mase, G. C. Johnson

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Appl. Mech 54(1), 127-135 (Mar 01, 1987) (9 pages) doi:10.1115/1.3172946 History: Received May 17, 1985; Revised February 10, 1986; Online July 21, 2009

Abstract

A theory for surface waves in an anisotropic material is developed in the framework of acoustoelasticity in which the material’s strain energy density is taken to be a cubic function in the strain. In order to relate the surface wave speeds to the applied stress, a configuration is introduced in which the effect of the local rotation is removed. The development shows that the surface wave speed can be determined from the eigenvalues of a particular real symmetric 2×2 matrix. Numerical results are given for uniaxial loading applied to aluminum and copper single crystals and to an ideal transversely isotropic aggregate of aluminum.

Copyright © 1987 by ASME
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