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RESEARCH PAPERS

A Continuum Theory for Wave Propagation in Laminated Composites—Case 1: Propagation Normal to the Laminates

[+] Author and Article Information
G. A. Hegemier

Department of Applied Mechanics and Engineering Sciences, University of California—San Diego, La Jolla, Calif.

Adnan H. Nayfeh

Systems, Science, and Software, La Jolla, Calif.

J. Appl. Mech 40(2), 503-510 (Jun 01, 1973) (8 pages) doi:10.1115/1.3423013 History: Received September 01, 1971; Revised April 01, 1972; Online July 12, 2010

Abstract

A continuum theory is developed for wave propagation normal to the layers of a laminated composite with elastic, periodic, microstructure. Construction is based upon an asymptotic scheme in which dominant signal wavelengths are assumed large compared to typical composite microdimensions. A hierarchy of models are defined by the order of truncation of the asymptotic sequence obtained. To estimate system accuracy, the phase velocity spectrum is investigated. Retention of all terms in the asymptotic sequence is found to yield the exact spectrum of Rytov. Based upon spectral collation of the lowest-order dispersive model, accuracy superior to several existing theories is observed. In addition, treatment of transient pulse cases show good correlation with exact data. Finally, the lowest-order dispersive theory is cast in a standard mixture form.

Copyright © 1973 by ASME
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