 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| T.I. Belyankova and V.V. Kalinchuk, "On the Dynamics of an Inhomogeneous Prestressed Electroelastic Medium under Exposure to an External Electric Field," Mech. Solids. 56 (7), 1398-1406 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1398-1406 |
| DOI |
10.3103/S0025654421070098 |
| Title |
On the Dynamics of an Inhomogeneous Prestressed Electroelastic Medium under Exposure to an External Electric Field |
| Author(s) |
T.I. Belyankova (Southern Federal University, Rostov-on-Don, Russia, tbelen415@mail.ru)
V.V. Kalinchuk (Southern Federal University, Rostov-on-Don, Russia, vkalin415@mail.ru) |
| Abstract |
A method for studying Rayleigh waves on the surface of an inhomogeneous prestressed
electroelastic medium under the influence of an external electrostatic field has been developed. The
medium is a homogeneous half-space with an inhomogeneous coating made of a functionally graded
material. The half-space and the coating in the natural state (NS) are piezoelectrics of class 6 mm,
whose axes of symmetry coincide and are oriented along the normal to the surface of the medium. The
initial deformed state (IDS) of the coating is caused by the action of initial mechanical forces and an
external electric field. Using the methods of operational calculus, the boundary value problem of
oscillations of a medium has been reduced to a system of ordinary differential equations with variable
coefficients, which, in turn, has been reduced to a system of Cauchy problems with initial conditions.
The use of numerical methods makes it possible to construct an integral representation that describes
the motion of an arbitrary point in the medium, as well as a dispersion equation the solution of which
determines the characteristics of surface acoustic waves (SAW). The method allows one to investigate
the influence of coating properties, gradient and localization of inhomogeneity, the type of the initial
stress state and the magnitude of the initial stresses, and the external electrostatic field on the characteristics of the propagation of Rayleigh waves in a wide range of the parameters. |
| Keywords |
piezoelectric structure, substrate, coating, initial stresses, external electrostatic field, func- tionally graded piezoelectric material (FGPM), Rayleigh waves |
| Received |
03 February 2021 | Revised |
25 February 2021 | Accepted |
12 March 2021 |
| Link to Fulltext |
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