Electromagneto-thermoelastic plane waves without energy dissipation for an infinitely long annular cylinder in a harmonic field

被引:9
作者
Allam, M. N. M. [1 ]
Elsibai, K. A. [1 ]
Abouelregal, A. E. [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
关键词
electromagneto-thermoelastic waves; Green and Naghdi parameter; harmonically varying temperature;
D O I
10.1080/01495730601088901
中图分类号
O414.1 [热力学];
学科分类号
摘要
The one-dimensional magneto-thermoelastic problem without energy dissipation of a perfect infinitely long annular cylinder with axial uniform magnetic field subjected to harmonically varying temperature is solved. The closed form solutions for the distributions of displacement, temperature, and stresses are obtained analytically in non-dimensional forms. The numerical results are displayed graphically to illustratete the problem and discuss the effect of Green and Naghdi parameter.
引用
收藏
页码:195 / 210
页数:16
相关论文
共 14 条
[1]  
ABOELNOUR N, 2002, J THERMAL STRESSES, V25, P1009
[2]   Thermal stresses in a harmonic field for an infinite body with a circular cylindrical hole without energy dissipation [J].
Allam, MN ;
Elsibai, KA ;
AbouElregal, AE .
JOURNAL OF THERMAL STRESSES, 2002, 25 (01) :57-67
[3]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[4]   LONGITUDINAL-WAVE PROPAGATION IN A GENERALIZED THERMOELASTIC CYLINDER [J].
ERBAY, S ;
SUHUBI, ES .
JOURNAL OF THERMAL STRESSES, 1986, 9 (03) :279-295
[5]  
Green A. E., 1972, Journal of Elasticity, V2, P1, DOI [10.1007/BF00045689, DOI 10.1007/BF00045689]
[6]   THERMOELASTICITY WITHOUT ENERGY-DISSIPATION [J].
GREEN, AE ;
NAGHDI, PM .
JOURNAL OF ELASTICITY, 1993, 31 (03) :189-208
[7]   Inverse problem of coupled thermoelasticity for prediction of heat flux and thermal stresses in an annular cylinder [J].
Lee, HL ;
Yang, YC .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2001, 28 (05) :661-670
[8]   A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY [J].
LORD, HW ;
SHULMAN, Y .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1967, 15 (05) :299-&
[10]   ELECTROMAGNETO-THERMOELASTIC PLANE-WAVES IN SOLIDS WITH THERMAL RELAXATION [J].
NAYFEH, AH ;
NEMATNAS.S .
JOURNAL OF APPLIED MECHANICS, 1972, 39 (01) :108-&