 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Shatalov M., Murashkin E., Mahamood R.M., Mkolesia A., Skhosana P., and Davhana M., "Axisymmetric wave Propagation in Functionally Grade Cylinder with Isotropic and Transversely Isotropic Concentric Layers," Mech. Solids. 56 (5), 748-760 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
5 |
Pages |
748-760 |
| DOI |
10.3103/S0025654421050022 |
| Title |
Axisymmetric wave Propagation in Functionally Grade Cylinder with Isotropic and Transversely Isotropic Concentric Layers |
| 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. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences (IPMech RAS), Moscow, 119526 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)
Mkolesia A. (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa)
Skhosana P. (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa)
Davhana M. (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa) |
| Abstract |
Exact solution of axisymmetric wave propagation problem in radially and functionally
graded circular cylinder made from combination of isotropic and transversely isotropic materials is obtained. This solution is based on exact relationships derived by C. Chree and exact continuity and boundary conditions formulated for the problem with arbitrary number of concentric circular layers. The solutions are obtained for dilatational and shear waves. Frequency spectra of travelling and evanescent waves are plotted for dilatational modes of vibration of two- and three-layered cylinders. Phase velocities are calculated and plotted for the travelling dilatational waves. Peculiarities of wave propagation in the functionally graded cylinders are discussed. |
| Keywords |
Functionally graded cylinder, transversely isotropic material, axisymmetric wave propagation, frequency spectrum, phase velocity |
| Received |
21 May 2020 | Revised |
12 June 2020 | Accepted |
25 June 2020 |
| Link to Fulltext |
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