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 Issues2012-5pp.506-510

Archive of Issues

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

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I.V. Bogachev, A.O. Vatul’yan, and O.V. Yavruyan, "Identification of the properties of an inhomogeneous electroelastic medium," J. Appl. Math. Mech. 76 (5), 506-510 (2012)
Year 2012 Volume 76 Issue 5 Pages 506-510
Title Identification of the properties of an inhomogeneous electroelastic medium
Author(s) I.V. Bogachev (Rostov-on-Don, Russia)
A.O. Vatul’yan (Rostov-on-Don, Russia, vatulyan@aaanet.ru)
O.V. Yavruyan (Rostov-on-Don, Russia)
Abstract A method for the effective solution of inverse coefficients problems on establishing the laws of variation of the properties of an inhomogeneous electroelastic medium in a rectangle is proposed. Two types of loads are considered - electrical and mechanical, which enable three inverse coefficient problems for finding the required functions to be formulated. An iteration process is formulated for solving the inverse problem, at each step of which the corrections to the unknown functions with respect to the initial approximations are determined from the solution of a system of Fredholm integral equations of the first and second kind. Computational experiments to establish the inhomogeneous elastic and piezoelectric characteristics are carried out.
Received 04 April 2012
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