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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

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