Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2008-5pp.611-618

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V.N. Kobzar' and L.A. Fil'shtinskii, "The plane dynamic problem of coupled thermoelasticity," J. Appl. Math. Mech. 72 (5), 611-618 (2008)
Year 2008 Volume 72 Issue 5 Pages 611-618
Title The plane dynamic problem of coupled thermoelasticity
Author(s) V.N. Kobzar' (Sumy, Ukraine, vladyslav.kobzar@gmail.com)
L.A. Fil'shtinskii (Sumy, Ukraine, leonid@mphis.sumdu.edu.ua)
Abstract A method of solving two-dimensional inner and outer boundary-value problems of coupled thermoelasticity, taking into account the finite propagation velocity of heat pulses, is proposed, based on constructed fundamental solutions of the corresponding equations. An estimate is given of the coupling of thermomechanical fields in these problems, and the hyperbolic and parabolic models of thermal conductivity are compared. It is shown that the effect of the finite propagation velocity of heat is unimportant even for very short periods of the duration of the processes (comparable with the relaxation time of the heat flux).
Received 25 January 2007
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