 | | 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
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| In English (Mech. Solids): | | 3212 |
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| Shatalov M., Murashkin E., Mahamood R., Mkolesia A., Davhana M., and Skhosana P., "Axisymmetric Wave Propagation in Functionally Grade Cylinder with Smooth Radial Distribution of Physical Parameters," Mech. Solids. 56 (4), 571-585 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
4 |
Pages |
571-585 |
| DOI |
10.3103/S0025654421040154 |
| Title |
Axisymmetric Wave Propagation in Functionally Grade Cylinder with Smooth Radial Distribution of Physical Parameters |
| 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, Russia, evmurashkin@gmail.com)
Mahamood R. (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)
Davhana M. (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) |
| Abstract |
Novel approximate methods of wave propagation analysis are developed for functionally graded cylinders with mass and elastic parameters described by continuously differentiable functions of radius. Two of these methods relate to embedding of boundary value problems into corresponding initial value problems and the third method demonstrates methodology of discretization of the physical parameters over cylinder’s cross-section. Frequency spectra diagrams of dilatational and shear waves are plotted for travelling and evanescent regimes. Diagrams of phase and group velocities are plotted for dilatational travelling waves. |
| Keywords |
Functionally graded material, axisymmetric wave propagation in cylinder, dispersion curves, spectral diagram, phase velocity, group velocity, embedding method, discretization method |
| Received |
01 June 2021 | Revised |
22 June 2021 | Accepted |
23 June 2021 |
| Link to Fulltext |
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