| | 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: | | 12854 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4810 |
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<< Previous article | Volume 59, Issue 3 / 2024 | Next article >> |
Subhadip Karmakar and Smita Pal Sarkar, "Instantaneous Heat Source Response in a Rotating Orthotropic Thermoelastic Medium Using Three-Phase-Lag Model," Mech. Solids. 59 (3), 1614-1634 (2024) |
Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1614-1634 |
DOI |
10.1134/S0025654424600090 |
Title |
Instantaneous Heat Source Response in a Rotating Orthotropic Thermoelastic Medium Using Three-Phase-Lag Model |
Author(s) |
Subhadip Karmakar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India)
Smita Pal Sarkar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India, smitasarkar.math@faculty.iiests.ac.in) |
Abstract |
This article highlights the study of thermoelastic interaction in a homogeneous, orthotropic, rotating medium due to the influence of an instantaneous heat source. This study employs the
three-phase-lag model. A differential equation in vector-matrix form has been formulated with the
help of combined Laplace–Fourier transformation and the solution is obtained by using the eigenvalue approach. The Gaussian quadrature formula and the Bellman method are employed to numerically estimate the displacement components, temperature, and thermal stress components. Finally,
the numerical outcomes are depicted graphically and compared with those of the Lord–Shulman and Green–Naghdi type III models. |
Keywords |
orthotropic thermoelastic medium, three-phase-lag model, instantaneous heat source, Laplace-Fourier transform |
Received |
13 January 2024 | Revised |
02 July 2024 | Accepted |
02 July 2024 |
Link to Fulltext |
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