An Effective Dispersion Theory for Layered Composites

[+] Author and Article Information
T. J. Delph

Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pa. 18015

G. Herrmann

Division of Applied Mechanics, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 50(1), 157-164 (Mar 01, 1983) (8 pages) doi:10.1115/1.3166984 History: Received January 01, 1981; Revised August 01, 1982; Online July 21, 2009


A new approximate theory for wave propagation in a periodically layered elastic body is proposed. In its present state, the theory is valid for either propagation normal to the layering or for propagation under antiplane strain conditions. The theory is based on microstructural theories of elasticity, and makes use of a collocation technique in conjunction with the exact solution for wave propagation in an unbounded elastic body. The results are considered to hold promise for formulating accurate approximate solutions to certain types of boundary-initial value problems for composite bodies.

Copyright © 1983 by ASME
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