ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories |
Kh. Lotfya)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 |
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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.
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Received: 26 November 2011
Revised: 26 November 2011
Accepted manuscript online:
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Corresponding Authors:
Kh. Lotfy
E-mail: khlotfy_1@yahoo.com
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Cite this article:
Kh. Lotfy The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories 2012 Chin. Phys. B 21 064214
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[1] |
Othman M I A 2008 Multi. Modeling in Materials and Structures 1 231
|
[2] |
Othman M I A and Song Y 2008 Appl. Math. Modelling 32 811
|
[3] |
Paria G 1967 Adv. Appl. Mech. 10 73
|
[4] |
Belfield A J, Rogers T G and Spencer A J M 1983 J. Mech. Phys. Solids 31 25
|
[5] |
Verma P D S and Rana O H 1983 Mech. Materials 2 353
|
[6] |
Singh S J 2002 Sãdhanã 27 1
|
[7] |
Sengupta P R and Nath S 2001 Sãdhanã 26 363
|
[8] |
Hashin Z and Rosen W B 1964 J. Appl. Mech. 31 223
|
[9] |
Singh B and Singh S J 2004 Sãdhanã 29 249
|
[10] |
Chattopadhyay A and Choudhury S 1990 Int. J. Eng. Sci. 28 485
|
[11] |
Chaudhary S, Kaushik V P and Tomar S K 2004 Acta Geoph. Polonica 52 219
|
[12] |
Chattopadhyay A and Choudhury S 1995 Int. J. Num. Anal. Meth. Geomech. 19 289
|
[13] |
Pradhan A S, Samal K and Mahanti N C 2003 Tamkang J. Sci. Eng. 6:3 173
|
[14] |
Chattopadhyay A, Venkateswarlu R L K and Saha S 2002 Sãdhanã 27 613
|
[15] |
Othman M I A and Song Y 2007 Int. J. Sol. & Struc. 44 5651
|
[16] |
Verma P D S, Rana O H and Verma M 1988 Indian J. Pure Appl. Math. 19 713
|
[17] |
Singh B 2006 Arch. Appl. Mech. 75 513
|
[18] |
Verma P D S 1986 Int. J. Eng. Sci. 24 1067
|
[19] |
Ezzat M and Othman M I A 2002 J. Thermal Stresses 25 409
|
[20] |
Sherief H H and Helmy K A 2002 Int. J. Eng. Sci. 40 587
|
[21] |
Roy Choudhuri S K and Mukhopadhyay S 2000 Int. J. Math. Sci. 23 479
|
[22] |
Othman M I A, Lotfy K H and Farouk R M 2009 Acta Phys. Polonica A 116 186
|
[23] |
Ezzat M and Othman M I A 2000 Int. J. Engng. Sci. 38 107
|
[24] |
Othman M I A 2010 Mechanics and Mechanical Engineering 14 31
|
[25] |
Othman M I A 2004 Acta Mechanica 169 37
|
[26] |
Roy Choudhuri S K 1990 Comput. Math. Appl. 19 85
|
[27] |
Lotfy K H 2012 Chin. Phys. B 21 014209
|
[28] |
Roy Choudhuri S K and Debnath L 1985 J. Elasticity 15 59
|
[29] |
Othman M I A and Lotfy K H 2009 MMMS 5 235
|
[30] |
Lotfy K H 2011 Chin. Phys. B 20 074601
|
[31] |
Othman M I A and Lotfy K H 2010 Int. Commun. Heat Mass Transfer 37 192
|
[32] |
Othman M I A and Lotfy K H 2009 Int. J. Ind. Math. 2 87
|
[33] |
Lord H W and Şhulman Y A 1967 J. Mech. Phys. Solid 15 299
|
[34] |
Green A E and Lindsay K A 1972 J. Elasticity 2 1
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