On the Wave Propagation in an Elastic Hollow Cylinder With Long-Range Cohesion Forces

[+] Author and Article Information
J. L. Nowinski

Department of Mechanical and Aerospace Engineering, University of Delaware, Newark, Del. 19716

J. Appl. Mech 53(1), 121-124 (Mar 01, 1986) (4 pages) doi:10.1115/1.3171697 History: Received February 01, 1985; Revised May 01, 1985; Online July 21, 2009


After a brief derivation of the formula for the nonlocal moduli, Fourier transforms of the stress components in their nonlocal aspect are established. Satisfaction of the traction-free boundary conditions leads to the frequency equation of the problem. A particular case involving longitudinal Lamé modes is analyzed in more detail. A numerical example solved shows a considerable decrease of the speed and the frequency of the short waves as compared with those of long waves studied in the classical theory.

Copyright © 1986 by ASME
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