 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| Rajneesh Kumar, Nidhi Sharma, and Vineeta Rani, "A Study of Fundamental Solution and Green’s Function in Orthotropic Micropolar Photothermoelastic Media Based on Moore-Gibson-Thompson Model," Mech. Solids. 60 (4), 3058-3094 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
3058-3094 |
| DOI |
10.1134/S0025654425601831 |
| Title |
A Study of Fundamental Solution and Green’s Function in Orthotropic Micropolar Photothermoelastic Media Based on Moore-Gibson-Thompson Model |
| Author(s) |
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India)
Nidhi Sharma (Department of Mathematics, Maharishi Markandeshwar University Mullana, Ambala, Haryana, India)
Vineeta Rani (Department of Mathematics, Maharishi Markandeshwar University Mullana, Ambala, Haryana, India, vineeta.jaglan@gmail.com) |
| Abstract |
In the present study, we examine the fundamental solution and Green’s function in a semiinfinite orthotropic micropolar photothermoelastic medium based on Moore-Gibson-Thompson heat equation (MPMGT). To achieve this, we first translate the governing equations into two dimensions and execute the dimensionless quantities, and then we employ operator theory to derive the general solution for the MPMGT model. The fundamental solution and Green’s function for a steady
point heat source on the surface and in the interior of a semi-infinite medium of the assumed model
have been computed from the general solution using newly introduced harmonic functions. To investigate the micropolarity effect, displacement, stress, temperature, carrier density distribution, micro
rotation and couple stress are computed numerically and presented as graphs. Specific cases are
inferred from the current investigation and compared with the previously established results. The
obtained results have applications in the material and engineering sciences, as well as in the different semiconductor elements during the coupled photothermoelastic impact. |
| Keywords |
Orthotropic, Micropolar, Photothermoelastic, Moore-Gibson-Thompson model, Fundamental solution, Green’s function |
| Received |
16 April 2025 | Revised |
25 May 2025 | Accepted |
29 May 2025 |
| Link to Fulltext |
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