 | | 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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| Ankit Bajpai, Rajneesh Kumar, and P.K. Sharma, "Modeling of Hyperbolic Two Temperature Fractional Thermodiffusive Elastic Circular Plate," Mech. Solids. 58 (1), 297-314 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
1 |
Pages |
297-314 |
| DOI |
10.3103/S0025654422601136 |
| Title |
Modeling of Hyperbolic Two Temperature Fractional Thermodiffusive Elastic Circular Plate |
| Author(s) |
Ankit Bajpai (Department of Mathematics & Scientific Computing, National Institute of Technology, Hamirpur, Himachal Pradesh, India, ankitbajpaibhu7@gmail.com)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India, rajneesh_kuk@rediffmail.com)
P.K. Sharma (Department of Mathematics & Scientific Computing, National Institute of Technology, Hamirpur, Himachal Pradesh, India, psharma@nith.ac.in) |
| Abstract |
The forced vibrations of thermodiffusive elastic circular plate in the framework of a mathematical model of fractional thermoelastic diffusion employing hyperbolic two-temperature theory with temperature-dependent material properties are studied. Governing equations are simplified by introducing potential functions and solved by applying Laplace and Hankel transform technique. Mechanical, thermal, and mass concentration loads are applied on the boundary surfaces. The expressions for field quantities in closed form are obtained analytically. The numerical study is carried out for copper material. The resulting field quantities in the original domain are converted by employing a numerical inversion technique and displayed graphically to show the different physical effects. The significant impact of hyperbolic two temperature, fractional parameter, and temperature-dependent properties is observed on the temperature fields, stress, and chemical potential. The obtained analytical results are validated with existing literature. |
| Keywords |
hyperbolic two temperature, Laplace-Hankel transform, fractional thermoelasticity, diffusion |
| Received |
02 August 2022 | Revised |
13 October 2022 | Accepted |
14 October 2022 |
| Link to Fulltext |
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