Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T00:42:29.757Z Has data issue: false hasContentIssue false

Wave propagation in elastic rods with multiple wave speeds

Published online by Cambridge University Press:  24 October 2008

R. C. Bachman
Affiliation:
University of Manitoba, Winnipeg
H. Cohen
Affiliation:
University of Manitoba, Winnipeg

Abstract

This paper deals with the propagation and decay of nth-order displacement waves in linear hyperelastic rods having multiple wave speeds. The vector decay equation is integrated to find the explicit behaviour of all waves which can propagate in the rod. Examples are treated using a special form of the constitutive relations and results are given for rods of various geometries and wave multiplicities.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Cohen, H.Wave decay in nonhomogeneous elastic rods. Arch. Mech., 30 (1978) 175188Google Scholar
(2)Cohen, H.Shock wave decay in elastic rods. Iranian J. Sci. Tech., 7 (1978), 8391.Google Scholar
(3)Cohen, H.Decay of acceleration waves in elastic rods. Arch. Rational Mech. Anal. 67 (1978), 151163.CrossRefGoogle Scholar
(4)Cohen, H. and Whitman, A. B.Waves in elastic rods. J. Sound and Vibr. 51 (1977), 283302.CrossRefGoogle Scholar
(5)Cohen, H.A non-linear theory of elastic directed curves. Internat. J. Engng. Sci. 4 (1966), 511524.CrossRefGoogle Scholar
(6)Green, A. E. and Laws, N.A general theory of rods. Proc. Roy. Soc. Ser A 293 (1966), 145155.Google Scholar