Volume 7, Issue 1 (January 2020), Pages: 117-124
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Original Research Paper
Title: Effect of magnetic field on thermos: Viscoelastic cylinder subjected to a constant thermal shock
Author(s): Shadia Fathi Mohamed El Sherif 1, *, Mahmoud A. Ismail 1, A. A. El-Bary 2, Haitham M. Atef 3
Affiliation(s):
1Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia
2Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt
3Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt
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* Corresponding Author.
Corresponding author's ORCID profile: https://orcid.org/0000-0002-8846-0487
Digital Object Identifier:
https://doi.org/10.21833/ijaas.2020.01.012
Abstract:
In this paper, we will discuss the problem of distribution of thermal stresses and temperature in a generalized Magneto–Thermo-Viscoelastic Solid Cylinder of radius L. The surface of the cylinder is assumed to be free traction and subjected to a constant thermal shock. The Laplace transform technique is used to solve the problem. A solution to the problem in the physical domain is obtained by using a numerical method of MATLAB Programmer and the expression for the temperature, strain, and stress are obtained. Numerical computations are carried out for a particular material for illustrating the results. Finally, the results obtained are presented graphically to show the effect of time on the field variables. And to show a comparison between Lord- Shulman and Coupled theory.
© 2019 The Authors. Published by IASE.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Keywords: Thermal stress, Generalized magneto–thermoviscoelastic, Solid cylinder, Thermal shock, Laplace transform technique, Numerical computations
Article History: Received 10 May 2019, Received in revised form 5 August 2019, Accepted 12 November 2019
Acknowledgment:
The authors wish to acknowledge the approval and the support of this research study by Project NO. 7503–SCI–2017–1–8–F from the Deanship of Scientific Research in Northern Border University, Arar, KSA.
Compliance with ethical standards
Conflict of interest: The authors declare that they have no conflict of interest.
Citation:
El Sherif SFM, Ismail MA, and El-Bary AA et al. (2020). Effect of magnetic field on thermos: Viscoelastic cylinder subjected to a constant thermal shock. International Journal of Advanced and Applied Sciences, 7(1): 117-124
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