The effect of magnetic field and rotation of the 2-D problem of a fiber-reinforced thermoelastic under three theories with influence of gravity

被引:50
作者
Othman, Mohamed I. A. [1 ]
Lotfy, Kh. [1 ,2 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[2] Qassim Univ, Fac Sci & Arts, Dept Math, Buridah 51931, Al Mithnab, Saudi Arabia
关键词
Lord-Schulman theory; Green-Lindsay theory; Reinforcement; Rotation; Magnetic field; Gravity; MAGNETOELASTIC SHEAR-WAVES; PLANE-WAVES; HALF-SPACE; SURFACE-WAVES; FLUID LAYER; REFLECTION; PROPAGATION; FLOW; DISK;
D O I
10.1016/j.mechmat.2013.01.007
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the present paper, we introduced the coupled theory, Lord-Schulman theory with one relaxation time and Green-Lindsay theory with tow relaxation times to study the influence of magnetic field and rotation on the 2-D problem of a fiber-reinforced thermoelastic and the interaction with each other under the influence of gravity. The methodology applied here is the use of the normal mode analysis to solve the problem of a thermal shock problem to obtain the exact expressions for the displacement components, force stress and temperature. Some particular cases are also discussed in the context of the problem. Numerical results for the temperature, displacement and thermal stress components are given and illustrated graphically in the absence and presence of the magnetic field, rotation and gravity. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:129 / 143
页数:15
相关论文
共 32 条
[1]  
[Anonymous], TAMKANG J SCI ENG
[2]   STRESS IN ELASTIC PLATES REINFORCED BY FIBERS LYING IN CONCENTRIC CIRCLES [J].
BELFIELD, AJ ;
ROGERS, TG ;
SPENCER, AJM .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1983, 31 (01) :25-54
[3]   PROPAGATION, REFLECTION AND TRANSMISSION OF MAGNETOELASTIC SHEAR-WAVES IN A SELF-REINFORCED MEDIUM [J].
CHATTOPADHYAY, A ;
CHOUDHURY, S .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1990, 28 (06) :485-495
[4]   MAGNETOELASTIC SHEAR-WAVES IN AN INFINITE SELF-REINFORCED PLATE [J].
CHATTOPADHYAY, A ;
CHOUDHURY, S .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1995, 19 (04) :289-304
[5]   Reflection of quasi-P and quasi-SV waves at the free and rigid boundaries of a fibre-reinforced medium [J].
Chattopadhyay, A ;
Venkateswarlu, RLK ;
Saha, S .
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2002, 27 (6) :613-630
[6]  
Chaudhary S., 2004, Acta Geophysica Polonica, V52, P219
[7]  
CHOUDHURI SKR, 1990, COMPUT MATH APPL, V19, P85
[8]  
CHOUDHURI SKR, 1985, J ELASTICITY, V15, P59, DOI 10.1007/BF00041305
[9]  
Green A. E., 1972, J. Elasticity, V2, P1, DOI [10.1007/BF00045689, DOI 10.1007/BF00045689, DOI 10.1093/QJMAM/25.1.1]
[10]   CORRECTION [J].
HASHIN, Z .
JOURNAL OF APPLIED MECHANICS, 1965, 32 (01) :219-+