 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 55, Issue 4 / 2020 | Next article >> |
| M. Shatalov, E.V. Murashkin, E.T. Akinlabi, A. Mkolesia, M. Davhana, and P. Skhosana, "Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic Concentric Layers," Mech. Solids. 55 (4), 595-605 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
4 |
Pages |
595-605 |
| DOI |
10.3103/S0025654420040135 |
| Title |
Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic Concentric Layers |
| Author(s) |
M. Shatalov (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa, shatalovm@tut.ac.za)
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, evmurashkin@gmail.com)
E.T. Akinlabi (Pan African University for Life and Earth Sciences Institute (PAULESI), Ibadan, Nigeria, etakinlabi@uj.ac.za)
A. Mkolesia (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa)
M. Davhana (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa)
P. Skhosana (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa) |
| Abstract |
The axisymmetric wave propagation is investigated in coaxially layered isotropic functionally graded cylinders with different mass and stiffness properties of the layers. Exact solutions of the governing equations of the wave propagation in the cylinders exist only for isotropic, transversely isotropic and piezoelectric transversely isotropic cylinders. In the case of the functionally graded cylinders exact solutions are not known. The authors developed a method of exact solution of the problem, which is based on matching of continuity and boundary conditions on junctions of the layers. The continuity and boundary conditions are formulated in terms of exact solutions for displacements and stresses in the layers obtained in Bessel functions. The spectral diagrams of the dispersion curves of frequencies versus wave numbers are plotted for both propagating and evanescent waves and graphs of the phase and group velocities are obtained from these diagrams. |
| Keywords |
wave propagation, functionally grade material, layered cylinder, dispersion curves, phase velocity, group velocity |
| Received |
11 May 2020 | Revised |
20 June 2020 | Accepted |
29 July 2020 |
| Link to Fulltext |
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