Abstract
The properties of acceleration waves are investigated for situations in which the waves propagate in isotropic heat-conducting elastic media subject to arbitrary sets of constraints. Conditions under which waves may exist in the presence of constraints are investigated for classes of constraints broad enough to encompass all those encountered in practice. Attention is focussed on principal waves, and results are presented for the growth of the amplitudes of such waves first for fronts of arbitrary curvature, and subsequently by specialisation for plane, cylindrical and spherical waves travelling in material which has undergone one-dimensional plane deformation, cylindrically symmetric and spherically symmetric deformation, respectively.
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Bleach, G.P., Reddy, B.D. The influence of constraints on the properties of acceleration waves in isotropic thermoelastic media. Arch. Rational Mech. Anal. 98, 31–64 (1987). https://doi.org/10.1007/BF00279961
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DOI: https://doi.org/10.1007/BF00279961