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RESEARCH PAPERS

Small-Amplitude Wave Behavior in One-Dimensional Granular Solids

[+] Author and Article Information
J. W. Nunziato

Sandia Laboratories, Albuquerque, New Mex.

E. K. Walsh

Department of Engineering Sciences and Mechanics, University of Florida, Gainesville, Fla.

J. Appl. Mech 44(4), 559-564 (Dec 01, 1977) (6 pages) doi:10.1115/1.3424135 History: Received April 01, 1977; Revised May 01, 1977; Online July 12, 2010

Abstract

In this paper we consider the dynamic behavior of granular solids in the context of a one-dimensional, linearized theory. Uniqueness of solutions for unbounded domains is established and two wave propagation problems are solved. In particular, the dispersion relations for small-amplitude sinusoidal progressive waves are obtained and the evolution of small-amplitude shock waves is exhibited.

Copyright © 1977 by ASME
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