 | | 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: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| Anu, Harsh Sharda, and Preeti Jain, "Plane Wave Propagation in Non-Local Generalized Thermoelastic Solid with Diffusion Using Eigen Value Approach," Mech. Solids. 60 (8), 7072-7084 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7072-7084 |
| DOI |
10.1134/S0025654425604999 |
| Title |
Plane Wave Propagation in Non-Local Generalized Thermoelastic Solid with Diffusion Using Eigen Value Approach |
| Author(s) |
Anu (Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali, Rajasthan, India, anushardajnv89@gmail.com)
Harsh Sharda (Department of Mathematics, S. S. Jain Subodh PG (Auto) College, Jaipur, 320004 India, harshsharda13@gmail.com)
Preeti Jain (Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali, Rajasthan, India, preetmath@yahoo.com, jpreeti@banasthali.in) |
| Abstract |
In this paper, we explore a fascinating thermoelastic boundary value problem within a two-dimensional, non-local, homogeneous, and isotropic thermoelastic medium that incorporates diffusion. Our focus centers on a boundary that is traction-free, insulated, and maintained at a constant
temperature. To achieve this, we meticulously derive the governing equations. We use a vector matrix
differential equation for representing the two-dimensional problem. Employing the elegant eigenvalue
approach, we solve these equations and unveil the intricate relationships at play. We then present a
compelling numerical analysis, vividly illustrating the effects of nonlocal and diffusion parameters on
displacements and temperature stresses through engaging graphical representations. Moreover, we
delve into particular cases of interest, drawing insightful comparisons with established results to enrich
our understanding. This study not only highlights the complexities of thermoelastic behavior but also
opens avenues for further exploration in this dynamic field. |
| Keywords |
Plane waves, thermoelastic, non-local, eigen value, diffusion |
| Received |
12 September 2025 | Revised |
29 November 2025 | Accepted |
15 December 2025 |
| Link to Fulltext |
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