Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space

被引:70
作者
Abbas, Ibrahim A. [1 ,2 ]
Abd-alla, Abo-el-nour N. [1 ,2 ]
Othman, Mohamed I. A. [3 ,4 ]
机构
[1] Jazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
[2] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt
[3] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[4] Shaqra Univ, Dept Math, Fac Sci, Al Dawadmi, Saudi Arabia
关键词
Anisotropic material; Fiber-reinforced; Finite element method; Generalized magneto-thermoelasticity; PLANE-WAVES; RELAXATION;
D O I
10.1007/s10765-011-0957-3
中图分类号
O414.1 [热力学];
学科分类号
摘要
The propagation of plane waves in a fiber-reinforced, anisotropic thermoelastic half-space proposed by Lord-Shulman under the effect of a magnetic field is discussed. The problem has been solved numerically using a finite element method. Numerical results for the temperature distribution, the displacement components, and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by the theory of generalized thermoelasticity with one relaxation time for different values of time. It is found that the reinforcement has a great effect on the distribution of field quantities.
引用
收藏
页码:1071 / 1085
页数:15
相关论文
共 22 条
[1]  
ABBAS IA, 2009, INT J IND MATH, V1, P121
[2]   Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity [J].
Abbas, Ibrahim A. ;
Abd-alla, Abo-el-nour N. .
ARCHIVE OF APPLIED MECHANICS, 2008, 78 (04) :283-293
[3]   Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity [J].
Abbas, Ibrahim A. .
FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 2007, 71 (3-4) :215-222
[4]   Generalized magneto-thermoelasticity in a nonhomogeneous isotropic hollow cylinder using the finite element method [J].
Abbas, Ibrahim A. .
ARCHIVE OF APPLIED MECHANICS, 2009, 79 (01) :41-50
[5]   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
[6]   WAVE PROPAGATION IN A TRANSVERSELY ISOTROPIC HEAT-CONDUCTING ELASTIC MATERIAL [J].
CHADWICK, P ;
SEET, LTC .
MATHEMATIKA, 1970, 17 (34) :255-&
[7]  
DHALIWAL RS, 1980, Q APPL MATH, V38, P1
[8]  
ERDEM AU, 1995, 10 UL IST BIL TEKMG
[9]  
Ezzat MA, 2001, J THERM STRESSES, V24, P411, DOI 10.1080/01495730151126078
[10]   A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY [J].
LORD, HW ;
SHULMAN, Y .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1967, 15 (05) :299-&