State space approach of two-temperature magneto-thermoelasticity with thermal relaxation in a medium of perfect conductivity

被引：63

作者：

Ezzat, Magdy A. ^{[1
]}

Bary, Alaa Abdel ^{[2
]}

机构：

[1] Univ Alexandria, Fac Educ, Dept Math, Alexandria, Egypt

[2] Arab Acad Sci & Technol, Alexandria, Egypt

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2009年 / 47卷 / 04期

关键词：

Magneto-thermoelasticity; Theory of two-temperature; Perfect conducting medium; State space approach; HEAT CONDUCTION; 2; TEMPERATURES; PLANE-WAVES; HALF-SPACE; TIMES; ELASTOMERS;

D O I：

10.1016/j.ijengsci.2008.12.012

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A one-dimensional model of the two-temperature generalized magneto-thermoelasticity theory with one relaxation time in a perfect conducting medium is established. The state space approach developed in I M. Ezzat, Can. J. Phys. 72 (1994) 311: M. Ezzat, Int. J. Eng. Sci. 35 (1997) 7411 is adopted for the solution of one-dimensional problems for any set of boundary conditions. The resulting formulation together with the Laplace transform techniques are applied to a specific problem of a half-space subjected to thermal shock and traction-free surface. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results are given and illustrated graphically for the problem. Some comparisons have been shown in figures to estimate the effects of the two-temperature parameter and the applied magnetic field. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：618 / 630

页数：13

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