Rotation and gravitational field effect on two-temperature thermoelastic material with voids and temperature dependent properties type III

被引:24
作者
Othman, Mohamed I. A. [1 ,2 ]
Hilal, Mohamed I. M. [1 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[2] Taif Univ, Fac Sci, Dept Math, At Taif 888, Saudi Arabia
关键词
Energy dissipation; Gravity; Green-naghdi theory; Normal mode analysis; Rotation; Temperature dependent; Thermoelasticity; Two-temperature; Voids; GENERALIZED THERMOELASTICITY; ENERGY-DISSIPATION; HEAT CONDUCTION; WAVES;
D O I
10.1007/s12206-015-0820-8
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper studies the two dimensional problem of thermoelastic rotating material with voids under the effect of the gravity and the temperature dependent properties employing the two-temperature generalized thermoelasticity in the context of Green-Naghdi (G-N) theory of types II and III. The normal mode method is used to obtain the exact expressions for the physical quantities which have been shown graphically. The comparisons have been made in the presence and the absence of the rotation, the gravity, the temperature dependent properties and the two-temperature effect.
引用
收藏
页码:3739 / 3746
页数:8
相关论文
共 22 条
[1]   Response of Thermal Source in Initially Stressed Generalized Thermoelastic Half-Space with Voids [J].
Abbas, Ibrahim A. ;
Kumar, Rajneesh .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (06) :1472-1479
[2]   Effects of voids and rotation on plane waves in generalized thermoelasticity [J].
Abo-Dahab, S. M. ;
Abd-Alla, A. M. ;
Mahmoud, S. R. .
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2013, 27 (12) :3607-3614
[3]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[4]  
Bromwich T.J., 1898, Proceedings of the London Mathematical Society, V1, P98, DOI DOI 10.1112/PLMS/S1-30.1.98
[5]   A NOTE ON NON-SIMPLE HEAT CONDUCTION [J].
CHEN, PJ ;
GURTIN, ME ;
WILLIAMS, WO .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (06) :969-&
[6]   ON A THEORY OF HEAT CONDUCTION INVOLVING 2 TEMPERATURES [J].
CHEN, PJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (04) :614-&
[8]  
COWIN SC, 1983, J ELASTICITY, V13, P125, DOI 10.1007/BF00041230
[9]  
Dhaliwal R.S., 1980, Dynamic coupled thermoelasticity
[10]   ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID [J].
GREEN, AE ;
NAGHDI, PM .
JOURNAL OF THERMAL STRESSES, 1992, 15 (02) :253-264