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

被引:3
作者
Amin, Magdy M. [1 ,2 ]
Hendy, Mohamed H. [1 ,2 ]
Ezzat, Magdy A. [3 ]
机构
[1] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia
[2] Al Arish Univ, Fac Sci, Dept Math, Al Arish, Egypt
[3] Qassim Univ, Coll Sci & Arts, Dept Math, Al Bukairiyah, Saudi Arabia
来源
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | 2022年 / 9卷 / 08期
关键词
Electro-thermoelasticity theory; Memory-dependent derivative; Line heat source; Bessel function; Laplace transforms; STATE-SPACE FORMULATION; GENERALIZED THERMOELASTICITY; FRACTIONAL ORDER; MAGNETIC-FIELD; FLUID; FLOW;
D O I
10.21833/ijaas.2022.08.001
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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. (c) 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/).
引用
收藏
页码:1 / 8
页数:8
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