Effect of Thomson and thermal loading due to laser pulse in a magneto-thermo-elastic porous medium with energy dissipation

被引:47
作者
Abd-Elaziz, Elsayed M. [1 ]
Othman, Mohamed I. A. [2 ]
机构
[1] Zagazig Higher Inst Eng & Tech, Minist Higher Educ, Zagazig, Egypt
[2] Zagazig Univ, Fac Sci, Dept Math, POB 44519, Zagazig, Egypt
来源
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2019年 / 99卷 / 08期
关键词
electro-magneto-thermoelasticity; energy dissipation; laser pulse; Thomson effect; voids; THERMOELASTIC MATERIALS; CONTACT PROBLEM; PLANE-WAVES; ROTATION; VOIDS;
D O I
10.1002/zamm.201900079
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The present work attempts to investigate the influence of the Thomson heating and the Fourier's heat conduction, in the presence of a magnetic field, on half-space thermo-electricity solid with voids. The material is heated by a non-Gaussian laser beam with pulse duration of 0.23 ps. The heat conduction equation is affected by the Thomson coefficient. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, was assumed. The charge density of the induced electric current is taken as a function of time. The basic governing equations are modified by using Green-Naghdi theory of type-III. A normal mode method is proposed to analyze the problem and obtain numerical solutions. The results of the physical quantities have been illustrated graphically by a comparison between two values of time, with and without void parameters, as well as with and without Thomson coefficient.
引用
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页数:18
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