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The Quarterly Journal of Mechanics and Applied Mathematics 1966 19(2):157-165; doi:10.1093/qjmam/19.2.157
© 1966 by Oxford University Press
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TRANSIENT SOLUTION OF A ONE-DIMENSIONAL THERMOELASTIC WAVE PROPAGATION PROBLEM

H. SEARL DUNN

( Department of Mechanical and Aerospace Sciences, University of Rochester Rochester, N.Y. )

A step excitation in temperature is applied to the boundary of an elastic, heat-conducting material filling the half-space x ≥ 0. Large time asymptotic solutions are found for the predominantly mechanical mode of behaviour of the coupled equations of thermoelasticity. For a typical material, say aluminium, the asymptotic expressions are relevant 10–8 seconds after excitation of the material.


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