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Continuum Mechanics and Thermodynamics

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14-06-2023 | Original Article

Propagation of axisymmetric electroelastic waves in a homogeneous and a continuously inhomogeneous piezoceramic solid cylinder under the mechanical excitation

Authors: Alexander Grigorenko, Igor Loza, Svetlana Sperkach, Anna Bezuglaya

Published in: Continuum Mechanics and Thermodynamics | Issue 5/2023

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Abstract

The propagation of the axisymmetric electroelastic waves under the mechanical excitation in the solid homogeneous and inhomogeneous piezoceramic cylinders with axial polarization based on the linear theory of elasticity and the linear electromechanical coupling was investigated. The following boundary conditions are defined: on the lateral surface the mechanical load is applied and the surface is free of the electrodes. The basic relation at the singular point is applied. The solid cylinder made of the continuously inhomogeneous piezoceramic cylinder material is considered. An efficient discrete and continual numerical–analytical approach is based on reducing a problem to the ordinary differential equations, and application of the discrete orthogonalization method has been proposed. The problem under different electrical boundary conditions on the lateral surface of the piezoceramic solid cylinder has been solved. The article presents the distribution of the amplitude of the displacements, the stresses, the electrical potential and the dielectric permeability. The influence of the heterogeneity on the kinematic characteristics of propagating waves was investigated.

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Title: Propagation of axisymmetric electroelastic waves in a homogeneous and a continuously inhomogeneous piezoceramic solid cylinder under the mechanical excitation
Authors: Alexander Grigorenko
Igor Loza
Svetlana Sperkach
Anna Bezuglaya
Publication date: 14-06-2023
Publisher: Springer Berlin Heidelberg
Published in: Continuum Mechanics and Thermodynamics / Issue 5/2023
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI: https://doi.org/10.1007/s00161-023-01231-x

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