Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 424, Issue 2, Pages 1186-1197Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.11.065
Keywords
Strong ellipticity; Microtemperatures; Plane harmonic waves
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Funding
- NSF CAREER Award [DMS-1254807]
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This paper is concerned with the linear theory of thermoelasticity with naicrotemperatures, which permits the transmission of heat as thermal waves of finite speed, following the theory of Green and Naghdi. We study the propagation of plane harmonic waves in an unbounded strongly elliptic thermoelastic material with microtemperatures. We are able to prove that there is no dispersion and only undamped waves are possible. In the isotropic case we give the explicit analytic expression for the phase velocity of the waves. In particular we find that all transverse waves happen at constant temperature. (C) 2014 Elsevier Inc. All rights reserved.
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