 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| Sunil Kumar, Rajneesh Kumar, and Geeta Partap, "Diffusion and Memory-Dependent Derivatives in a Micropolar Thermoelastic Functionally Graded Plate," Mech. Solids. 60 (6), 4636-4655 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4636-4655 |
| DOI |
10.1134/S0025654425601454 |
| Title |
Diffusion and Memory-Dependent Derivatives in a Micropolar Thermoelastic Functionally Graded Plate |
| Author(s) |
Sunil Kumar (Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, Punjab, 144008 India, sunilk.ma.20@nitj.ac.in)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136119 India, rajneesh_kuk@rediffmail.com)
Geeta Partap (Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, Punjab, 144008 India, pratapg@nitj.ac.in) |
| Abstract |
This article presents the propagation of waves in a functionally graded micropolar thermoelastic plate in the presence of diffusion and memory-dependent derivatives (MDD). The material
properties are assumed to be functionally graded and non-homogeneity vary exponentially along the
-direction. The basic equations are converted into dimensionless form and Helmholtz decomposition
technique is employed to simplify these equations. The analytical expressions for potential functions,
temperature, mass concentration and micro-rotation are obtained by using normal mode analysis.
Normal mode analysis method is momentous as it relinquishes complex coupled dynamics into easier
explicable and analyzable components disclosing wherein system inherently react, convulse or
rebound to stimulants. The propagation equations for insulated impermeable and iso-thermal isoconcentrated boundaries are obtained. The magnitudes of force stresses, couple stresses, mass concentration and temperature for the symmetric and asymmetric systems are calculated using the suitable boundary conditions. The analytically obtained results are numerically analyzed for aluminium-epoxy material under Lord-Shulman (LS) and Green-Lindsay (GL) models for different kernel functions and non-homogeneity parameters. This study is useful for researchers working in thermodynamic engineering, material science and micropolar thermoelastic diffusion model under different
physical parameters. |
| Keywords |
functionally graded material (FGM), memory-dependent derivatives (MDD), thermoelastic diffusion, micropolar thermoelasticity, normal mode technique |
| Received |
27 March 2025 | Revised |
08 July 2025 | Accepted |
09 July 2025 |
| Link to Fulltext |
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