A novel magneto-thermoelasticity theory with memory-dependent derivative

被引：81
作者：
Ezzat, Magdy A. [1 ,2 ]
El-Karamany, Ahmed S. [3 ]
El-Bary, Alaa A. [4 ]
机构：
[1] Univ Alexandria, Fac Educ, Dept Math, Alexandria, Egypt
[2] Al Qassim Univ, Fac Sci & Letter Al Bukayriyyah, Dept Math, Al Qassim, Saudi Arabia
[3] Nizwa Univ, Dept Math & Phys Sci, Nizwa, Oman
[4] Arab Acad Sci & Technol, Alexandria, Egypt
来源：
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 2015年 / 29卷 / 08期
关键词：
memory-dependent derivative; time-delay; Laplace transforms; kernel function; Fourier's Law; magneto-thermoelasticity theory; VISCOELASTIC FLUID-FLOW; STATE-SPACE APPROACH; ELASTIC PLANE WAVES; THERMAL RELAXATION; CONDUCTING MEDIUM; FREE-CONVECTION; HEAT-TRANSFER; POROUS-MEDIUM; 2-TEMPERATURE THEORY; BOUNDARY-LAYER;
D O I：
10.1080/09205071.2015.1027795
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this work, a new model of magneto-thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with memory-dependent derivative. One-dimensional application for a perfect electrically conducting half-space of elastic material, which is thermally shocked, in the presence of a constant magnetic field has been solved by using Laplace transform technique. According to the numerical results and its graphs, conclusion about the new theory of magneto-thermoelasticity has been constructed and compared with dynamic classical coupled theory.
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页码：1018 / 1031
页数：14
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