Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2021-6pp.1091-1102

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Shatalov M., Murashkin E.V., Mahamood R.M., Skhosana P., and Mkolesia A., "Axisymmetric Wave Propagation in Transversely Isotropic Piezoelectric Functionally Grade Cylinder," Mech. Solids. 56 (6), 1091-1102 (2021)
Year 2021 Volume 56 Number 6 Pages 1091-1102
DOI 10.3103/S0025654421060169
Title Axisymmetric Wave Propagation in Transversely Isotropic Piezoelectric Functionally Grade Cylinder
Author(s) Shatalov M. (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa, shatalovm@tut.ac.za)
Murashkin E.V. (Ishlinskii Institute for Problems in Mechanics of the Russian Academy of Sciences (IPMech RAS), Moscow, Russia, evmurashkin@gmail.com)
Mahamood R.M. (Department of Mechanical Engineering Science, University of Johannesburg, Auckland, Johannesburg, Republic of South Africa; Department of Materials and Metallurgical Engineering, University of Ilorin, Ilorin, Nigeria, mahamoodmr2009@gmail.com, mahamoodmr@unilorin.edu.ng)
Skhosana P. (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa)
Mkolesia A. (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa)
Abstract Exact solution of the axisymmetric wave propagation problem in the functionally graded transversely isotropic cylinder with axial polarization is derived in Bessel functions and algorithmic form which is simple to program for numerical simulations. The spectral diagrams of the travelling and evanescent wave propagation are plotted for cylinders which are made in the form of concentric layers from PZT-4, PZT-5H and PZT-7A piezoceramics. The qualitative and quantitative peculiarities of the travelling and evanescent waves are discussed for different structural composition of the functionally graded structures and for open- and close-ciruit regimes of electric boundary conditions.
Keywords piezoelectric functionally graded material, axisymmetric wave propagation in cylinder, electric and mechanical boundary conditions, exact solution, spectral diagrams, dispersion curves
Received 10 February 2021Revised 26 February 2021Accepted 21 April 2021
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