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)
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ISSN 0021-8928
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IssuesArchive of Issues2012-5pp.537-546

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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T.I. Belyankova, V.V. Kalinchuk, and G.Yu. Suvorova, "A dynamic contact problem for a thermoelastic prestressed layer," J. Appl. Math. Mech. 76 (5), 537-546 (2012)
Year 2012 Volume 76 Issue 5 Pages 537-546
Title A dynamic contact problem for a thermoelastic prestressed layer
Author(s) T.I. Belyankova (Rostov-on-Don, Russia)
V.V. Kalinchuk (Rostov-on-Don, Russia, kalin@ssc-ras.ru)
G.Yu. Suvorova (Rostov-on-Don, Russia)
Abstract A dynamic problem concerning the harmonic vibrations of a rigid punch on the surface of a prestressed thermoelastic layer is considered. Outside the contact area, the surface is free from mechanical stresses and thermally insulated. In its natural state, the layer material is a material of class 6 mm hexagonal syngony with an axis of symmetry perpendicular to the surface of the medium and the initial stress state is assumed to be homogeneous. The problem is reduced to an integral matrix equation, a method of solving it is proposed and the effect of the initial stresses and preheating on the dispersion characteristics of the problem is studied. A mixed problem on the vibrations of the layer under the action of a given thermal load on the surface of the medium that simulates the action of a frequency-modulated laser beam is considered as an example. The effect of the initial stresses and preheating on the heat flux distribution in the reaction region is investigated.
Received 16 April 2012
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