Uniqueness and reciprocity theorems in the theory of generalized thermoelastic diffusion

被引：80
作者：
Aouadi, Moncef [1 ]
机构：
[1] Rustaq Fac Educ, Dept Math & Comp Sci, Rustaq 329, Oman
来源：
JOURNAL OF THERMAL STRESSES | 2007年 / 30卷 / 07期
关键词：
diffusion; reciprocity; thermoelasticity;
D O I：
10.1080/01495730701212815
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The equations of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, are given. Using Laplace transforms, a uniqueness theorem for these equations is proved. Also, a reciprocity theorem is obtained.
引用
收藏
页码：665 / 678
页数：14
相关论文
共 30 条
[1]   Variable electrical and thermal conductivity in the theory of generalized thermoelastic diffusion [J].
Aouadi, M .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2006, 57 (02) :351-367
[2]  
Aouadi M., 2006, Int J Math Math Sci, V25976, P1, DOI [10.1155/IJMMS/2006/25976, DOI 10.1155/IJMMS/2006/25976]
[3]   ON A VARIATIONAL THEOREM IN COUPLED THERMOELASTICITY [J].
BENAMOZ, MM .
JOURNAL OF APPLIED MECHANICS, 1965, 32 (04) :943-&
[4]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[5]  
CHURCHILL RV, OPERATIONAL MATH
[6]  
DHALIWAL RS, 1980, Q APPL MATH, V38, P1
[7]  
DHALIWAL RS, 1981, J MATH PHYS SCI, V15, P537
[8]   Uniqueness and reciprocity theorems in generalized linear micropolar thermoviscoelasticity [J].
El-Karamany, AS .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (19) :2097-2117
[9]   The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with two relaxation times [J].
Ezzat, MA ;
El-Karamany, AS .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (11) :1275-1284
[10]  
Gawinecki J, 2000, Z ANAL ANWEND, V19, P121
123