International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 9, Issue 8 (August 2022), Pages: 1-8

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 Original Research Paper

On the memory-dependent derivative electric-thermoelastic wave characteristics in the presence of a continuous line heat source

 Author(s): Magdy M. Amin 1, 2, Mohamed H. Hendy 1, 2, *, Magdy A. Ezzat 3

 Affiliation(s):

 1Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia
 2Department of Mathematics, Faculty of Science, Al Arish University, Al Arish, Egypt
 3Department of Mathematics, College of Science and Arts, Qassim University, Al Bukairiyah, Saudi Arabia

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0003-1919-1647

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.08.001

 Abstract:

In the present work, the definition of memory-dependent derivative (MDD) heat transfer in a solid body was used to investigate the problem of wave characteristics in an unbounded electric-thermoelastic solid due to a continuous line heat source in the presence of a uniform magnetic field. Both Laplace and Hankel's transform strategies are used to acquire the widespread answer in a closed-form. Analytical findings were obtained for the distribution within the medium of various fields such as temperature, displacement, and stresses. For the inversion of the Laplace transformations, a computational approach is used. The distributions of the numerical consequences of the non-dimensional considered bodily variables are represented graphically. Detailed comparative evaluation is represented thru the numerical outcomes to estimate the results of the kernels, time-delay, figure-of-merit, and magnetic number on the behavior of all variables. The effect offers a concept to research main electric-thermoelastic materials as any other type of pertinent materials.

 © 2022 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: Electro-thermoelasticity theory, Memory-dependent derivative, Line heat source, Bessel function, Laplace transforms

 Article History: Received 5 February 2022, Received in revised form 29 April 2022, Accepted 4 May 2022

 Acknowledgment 

The authors gratefully acknowledge the approval and the support of this research study by Grant No. SCI-2018-3-9-F-7606 from the Deanship of Scientific Research in Northern Border University, Arar, KSA.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Amin MM, Hendy MH, and Ezzat MA (2022). On the memory-dependent derivative electric-thermoelastic wave characteristics in the presence of a continuous line heat source. International Journal of Advanced and Applied Sciences, 9(8): 1-8

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6 

 Tables

 No Table 

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