 | | 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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| Vikas Sharma, Dinesh Kumar Sharma, Nantu Sarkar, Mahesh Kumar Sharma, and Anshu Sharma, "Investigation on Transient Viscothermoelastic Waves in a Half-Space due to Instantaneous Thermal Point Heat Sources via Moore-Gibson-Thompson Heat Conduction Model," Mech. Solids. 60 (4), 2841-2857 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2841-2857 |
| DOI |
10.1134/S0025654425600758 |
| Title |
Investigation on Transient Viscothermoelastic Waves in a Half-Space due to Instantaneous Thermal Point Heat Sources via Moore-Gibson-Thompson Heat Conduction Model |
| Author(s) |
Vikas Sharma (Department of Mathematics, Maharaja Agrasen University, Baddi, Solan, 174103 India)
Dinesh Kumar Sharma (Department of Mathematics, Maharaja Agrasen University, Baddi, Solan, 174103 India, dksharma200513@gmail.com)
Nantu Sarkar (Department of Applied Mathematics, University of Calcutta, Kolkata, 700009 India)
Mahesh Kumar Sharma (Department of Mathematics, Maharaja Agrasen University, Baddi, Solan, 174103 India)
Anshu Sharma (Department of Physics, Maharaja Agrasen University, Baddi, Solan, 174103 India) |
| Abstract |
The study in this paper deals with the investigation of the Moore-Gibson-Thompson model of generalized thermoelastic solid subjected to internal heat generation along the z-axis having axisymmetric heat supply. Governing equations of the problem have been derived for different models of thermoelasticity such as the Green-Naghdi III, Moore-Gibson-Thompson, and Lord-Shulman models.
Time harmonics and Hankel transformation techniques are used to obtain solutions from governing
equations to ordinary differential equations. The inverse Hankel transform is estimated by using
numerical methods with the help of Romberg integration (Simpson’s one-third rule), followed by
extrapolation to the limit as the step size tends to zero. Unknown field functions have been calculated
from a system of equations obtained through boundary conditions using the Gauss Elimination
numerical technique. Analytical results of temperature variations, displacements and stresses are
derived from significant expressions authenticated with existing literature. Numerical results are represented graphically with respect to the radial distance for different models of thermoelasticity. |
| Keywords |
Axisymmetirc Heat Supply, Internal Heat Generation, Moore-Gibson-Thompson Model, Hankel transform, Thermoelasticity, Viscoelasticity |
| Received |
17 February 2025 | Revised |
27 April 2025 | Accepted |
11 June 2025 |
| Link to Fulltext |
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