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Intrinsically characterized acceleration waves in heat-conducting elastic materials

Published online by Cambridge University Press:  24 October 2008

P. Chadwick
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich
P. K. Currie
Affiliation:
School of Physical Sciences, The New University of Ulster, Coleraine

Abstract

This paper is concerned with a particular class of acceleration waves in heat-conducting elastic materials, namely those waves for which the acceleration amplitude is a proper vector of both the isothermal and isentropic acoustical tensors. Acceleration waves with this characteristic property are found to fall naturally into two distinct sub-classes, and close parallels are shown to exist between the members of the sub-classes and waves for which the acceleration amplitude is either longitudinal or transverse to the direction of propagation. Particular attention is given here to waves of the quasi-longitudinal type, the quasi-transverse variety having been studied in some detail elsewhere.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Truesdell, C. and Noll, W.The Non-Linear Field Theories of Mechanics. Handbuch der Physik (ed. Flügge, S.), vol. III/3 (Springer; Berlin, etc., 1965).Google Scholar
(2)Caanwick, P. and Currie, P. K.Arch. Rational Mech. Anal. 49 (1972), 137158.Google Scholar
(3)Chen, P. J.Ist Lombardo Accord. Sci. Lett. Rend. A 106 (1972), 439445.Google Scholar
(4)Dunwoody, J.Ist Lombardo Accord. Sci. Lett. Rend. A 106 (1972), 816825.Google Scholar
(5)Chadwick, P. and Currie, P. K.J. Elasticity. Forthcoming.Google Scholar
(6)Truesdell, C.J. Acoust. Soc. Am. 40 (1966), 729730, 43 (1968), 170.CrossRefGoogle Scholar
(7)Chinn, W. G. and Steenrod, N. E.First Concepts of Topology (Singer; New York, 1966).CrossRefGoogle Scholar
(8)Chadwick, P. and Ogden, R. W.Arch. Rational Mech. Anal. 44 (1971), 5468.CrossRefGoogle Scholar