The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories

doi:10.1088/1674-1056/21/6/064214

中国物理B ›› 2012, Vol. 21 ›› Issue (6): 64214-064214.doi: 10.1088/1674-1056/21/6/064214

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories

Kh. Lotfy^{a b}

a. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, P. O. Box 44519, Egypt;
b. Department of Mathematics, Faculty of Science and Arts, Al-mithnab, Qassim University, P. O. Box 931, Buridah 51931, Al-mithnab, Kingdom of Saudi Arabia

收稿日期:2011-11-26 修回日期:2011-11-26 出版日期:2012-05-01 发布日期:2012-05-01

The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories

Kh. Lotfy^a)b)†

a. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, P. O. Box 44519, Egypt;
b. Department of Mathematics, Faculty of Science and Arts, Al-mithnab, Qassim University, P. O. Box 931, Buridah 51931, Al-mithnab, Kingdom of Saudi Arabia

Received:2011-11-26 Revised:2011-11-26 Online:2012-05-01 Published:2012-05-01
Contact: Kh. Lotfy E-mail:khlotfy_1@yahoo.com

摘要/Abstract

摘要： In the present paper, we introduce the coupled theory (CD), Lord-Schulman (LS) theory, and Green-Lindsay (GL) theory to study the influences of a magnetic field and rotation on a two-dimensional problem of fibre-reinforced thermoelasticity. The material is a homogeneous isotropic elastic half-space. The method applied here is to use normal mode analysis to solve a thermal shock problem. Some particular cases are also discussed in the context of the problem. Deformation of a body depends on the nature of the force applied as well as the type of boundary conditions. Numerical results for the temperature, displacement, and thermal stress components are given and illustrated graphically in the absence and the presence of the magnetic field and rotation.

关键词: Lord-Schulman theory, Green-Lindsay theory, coupled theory, reinforcement, rotation, magnetic field

Abstract: In the present paper, we introduce the coupled theory (CD), Lord-Schulman (LS) theory, and Green-Lindsay (GL) theory to study the influences of a magnetic field and rotation on a two-dimensional problem of fibre-reinforced thermoelasticity. The material is a homogeneous isotropic elastic half-space. The method applied here is to use normal mode analysis to solve a thermal shock problem. Some particular cases are also discussed in the context of the problem. Deformation of a body depends on the nature of the force applied as well as the type of boundary conditions. Numerical results for the temperature, displacement, and thermal stress components are given and illustrated graphically in the absence and the presence of the magnetic field and rotation.

Key words: Lord-Schulman theory, Green-Lindsay theory, coupled theory, reinforcement, rotation, magnetic field

中图分类号:

42.65.Hf

Kh. Lotfy. The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories[J]. 中国物理B, 2012, 21(6): 64214-064214.

Kh. Lotfy . The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories[J]. Chin. Phys. B, 2012, 21(6): 64214-064214.

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The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories

The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories

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