 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| Aseem Miglani, Rajneesh Kumar, Amarjyot Kaur, and Monika Kalra, "A Dual-Phase-Lag Model of an Infinite Plate of a Thermoelastic Medium with Double-Porosity and Fractional Time Derivative," Mech. Solids. 60 (3), 2000-2017 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2000-2017 |
| DOI |
10.1134/S0025654425600576 |
| Title |
A Dual-Phase-Lag Model of an Infinite Plate of a Thermoelastic Medium with Double-Porosity and Fractional Time Derivative |
| Author(s) |
Aseem Miglani (Department of Mathematics, Chaudhary Devi Lal University, Sirsa, Haryana, 125055 India)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136119 India)
Amarjyot Kaur (Department of Mathematics, Chaudhary Devi Lal University, Sirsa, Haryana, 125055 India, amar94jyot@gmail.com)
Monika Kalra (Department of Mathematics, Chandigarh University, Mohali, Punjab, 140113 India) |
| Abstract |
In this paper, we talked about the fractional thermoelastic deformation of double-porous
material with two-phase-lag by using a mathematical model of an infinite plate that is being acted
upon by a normal thermomechanical force. We have used the eigen-value method by applying the
Laplace and Fourier transforms to solve the problem, which led to the finding of the transformed form
of the solution. A computer program in MATLAB is used for the numerical inversion of the integral
transforms to get the solution numerically for a certain model. We considered the numerical results
and made graphs to show how the fractional order parameter and the double porous parameter
changed the stress and temperature patterns. It is identified that the fractional order parameter and the
medium’s double porosity have a substantial effect on the stress and temperature distribution in the plate. |
| Keywords |
Double-porosity, fractional thermoelastic, dual-phase-lag, plate, eigen-value approach |
| Received |
06 February 2025 | Revised |
07 March 2025 | Accepted |
20 April 2025 |
| Link to Fulltext |
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