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 Issues2010-6pp.637-647

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Total articles in the database: 10512
In Russian (ΟΜΜ): 9713
In English (J. Appl. Math. Mech.): 799

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T.I. Belyankova, V.V. Kalinchuk, and V.A. Lyzhov, "A coupled mixed problem for a system of electrodes on the surface of a prestressed electroelastic structurally inhomogeneous half-space," J. Appl. Math. Mech. 74 (6), 637-647 (2010)
Year 2010 Volume 74 Issue 6 Pages 637-647
Title A coupled mixed problem for a system of electrodes on the surface of a prestressed electroelastic structurally inhomogeneous half-space
Author(s) T.I. Belyankova (Rostov-on-Don, Russia)
V.V. Kalinchuk (Rostov-on-Don, Russia, kalin@ssc-ras.ru)
V.A. Lyzhov (Rostov-on-Don, Russia)
Abstract The features of the interaction of a system of electrodes with a prestressed structurally inhomogeneous piezoactive half-space are investigated. The problem is reduced to a convolution equation on a system of sections, to solve which, a generalization of a previously proposed method is used, which enables the dynamic properties of the medium to be taken into account with high accuracy. Using the example of the problem of the excitation of shear oscillations of a weakly inhomogeneous piezoactive half-space, it is shown that the effect of the initial mechanical stresses on the electric-induction distribution in the contact zone for a homogeneous and bipolar system of five and nine electrodes is independent of the number of electrodes, but depends considerably on the form of the initial stress state. A triaxial stress state has the strongest effect on the electric-induction distribution.
Received 15 June 2010
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