A novel magneto-thermoelasticity theory with memory-dependent derivative

被引：85

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.

引用

页码：1018 / 1031

页数：14

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