HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER
Abstract & Details
Research Area
mathematics
Keywords
Lord-Shulman theory
Classical coupled theory
Axisymmetric Temperature Distribution
Traction-free
Abstract
We address the problem of thermal stresses and temperature distribution in a semi-infinite cylinder with traction-free boundaries on both ends, exposed to a specified axisymmetric temperature distribution. The study applies the Lord-Shulman and classical coupled thermoelasticity theories, utilizing integral transforms for solving the problem. First, an exact solution is obtained in the transform domain, followed by analytical inversion of Hankel transforms and numerical inversion of Laplace transforms. The resulting thermal stresses are evaluated for copper material, and a comparison of results is made between the two theories.
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Author Information
| # | Name | Institute / Affiliation |
|---|---|---|
| 1 | J. J. Tripathi | Dr. Ambedkar College |
How to Cite
Use the following formats to cite this article in your research.
APA Style
Tripathi, J. J. (2024). HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER. International Journal of Advance Research and Innovative Ideas In Education, 10(1), 1967-1979.
MLA Style
Tripathi, J. J.. "HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER." International Journal of Advance Research and Innovative Ideas In Education, vol. 10, no. 1, 2024, pp. 1967-1979.
IEEE Style
J. J. Tripathi, "HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER," International Journal of Advance Research and Innovative Ideas In Education, vol. 10, no. 1, pp. 1967-1979, 2024.
Vancouver Style
Tripathi J. J.. HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER. International Journal of Advance Research and Innovative Ideas In Education. 2024;10(1):1967-1979.
Harvard Style
Tripathi, J. J. (2024) 'HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER', International Journal of Advance Research and Innovative Ideas In Education, 10(1), pp. 1967-1979.
Chicago Style
Tripathi, J. J.. "HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER." International Journal of Advance Research and Innovative Ideas In Education 10, no. 1 (2024): 1967-1979.
Turabian Style
Tripathi, J. J.. "HEAT SOURCE-INDUCED DYNAMIC THERMOELASTIC RESPONSE IN A SEMI-INFINITE CYLINDER." International Journal of Advance Research and Innovative Ideas In Education 10, no. 1 (2024): 1967-1979.
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