Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Zverev N. A., Zemskov A. V., Tarlakovsky D. V. Unsteady Electromagnetic Elasticity of Piezoelectrics Considering Diffusion. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2020, vol. 20, iss. 2, pp. 193-204. DOI: 10.18500/1816-9791-2020-20-2-193-204, EDN: HDYLNM

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
01.06.2020
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Language: 
Russian
Heading: 
Mechanics
Article type: 
Article
UDC: 
539.3
DOI: 
10.18500/1816-9791-2020-20-2-193-204
EDN: 
HDYLNM

Unsteady Electromagnetic Elasticity of Piezoelectrics Considering Diffusion

Autors: 
Zverev Nikolay Andreevich, Moscow Aviation Institute (National Research University)
Zemskov Andrei Vladimirovich, Moscow Aviation Institute (National Research University)
Tarlakovsky Dmitrii Valentinovich, Moscow Aviation Institute (National Research University)
Abstract: 

The paper considers a model of the linear theory of deformation of elastic continuum with diffusion and piezoelectric effect taken into account, which describes the relationship between mechanical deformations, mass transfer, and the internal electric field. A one-dimensional model of electromagnetic diffusion in a rectangular Cartesian coordinate system is used. At the present level, the methods of solving the corresponding initial-boundary value problems based on the application of the integral Laplace transform and decomposition into trigonometric Fourier series are described.Based on the solution of model problems, the effect of the fields coupling on the processes of dynamic deformation are shown. The results of the calculations are presented in analytical form and in the form of graphs.

Key words: 
electromagnetic elasticity
piezoelectromagnetism
elastic diffusion
unsteady problems
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Received: 
25.04.2019
Accepted: 
26.06.2019
Published: 
01.06.2020
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