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.
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Funding
The work was carried out as part of the implementation of the state task of the Southern Scientific Center of the Russian Academy of Sciences, state registration number 01201354242 and was partially supported by the Russian Foundation for Basic Research, project nos 19-08-01051, 19-01-00719.
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Translated by N. Petrov
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Belyankova, T.I., Kalinchuk, V.V. On the Dynamics of an Inhomogeneous Prestressed Electroelastic Medium under Exposure to an External Electric Field. Mech. Solids 56, 1398–1406 (2021). https://doi.org/10.3103/S0025654421070098
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DOI: https://doi.org/10.3103/S0025654421070098