Wave Propagation and Parametric Instability in Materials Reinforced by Fibers With Periodically Varying Directions

[+] Author and Article Information
M. Schoenberg

Department of Environmental Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel

Y. Weitsman

School of Engineering, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel

J. Appl. Mech 42(4), 825-831 (Dec 01, 1975) (7 pages) doi:10.1115/1.3423714 History: Received January 01, 1975; Revised June 01, 1975; Online July 12, 2010


This paper concerns the propagation of plane harmonic waves in an infinite fiber-reinforced elastic medium. The composite material is represented by an equivalent homogeneous transversely isotropic matter whose preferred directions coincide with the orientations of the fibers. The fibers are assumed to wobble periodically about a dominant direction, all fibers being parallel to each other. This wobbliness endows the material with a structural periodicity which generates dispersion at all frequencies and instability for various frequency bands. The zones of instability are analyzed in some detail.

Copyright © 1975 by ASME
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