The theory of generalized thermoelastic diffusion

被引:399
作者
Sherief, HH [1 ]
Hamza, FA [1 ]
Saleh, HA [1 ]
机构
[1] Univ Alexandria, Fac Sci, Dept Math, Alexandria, Egypt
关键词
D O I
10.1016/j.ijengsci.2003.05.001
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
dIn this work, a derivation of the governing equations for generalized thermodiffusion in elastic solids is given. A variational theorem is then obtained for the governing equations. Next, we prove the uniqueness of solution of these equations under suitable conditions. At last, we obtain a reciprocity theorem for these equations. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:591 / 608
页数:18
相关论文
共 24 条
[1]  
[Anonymous], ARCH MECH STOSOW
[2]   STATE-SPACE APPROACH TO GENERALIZED THERMOELASTICITY [J].
ANWAR, MN ;
SHERIEF, HH .
JOURNAL OF THERMAL STRESSES, 1988, 11 (04) :353-365
[3]   BOUNDARY INTEGRAL-EQUATION FORMULATION OF GENERALIZED THERMOELASTICITY IN A LAPLACE-TRANSFORM DOMAIN [J].
ANWAR, MN ;
SHERIEF, HH .
APPLIED MATHEMATICAL MODELLING, 1988, 12 (02) :161-166
[4]  
Atkins P.W., 1994, Physical Chemistry, V5th ed.
[5]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[6]  
DHALIWAL R, 1980, Q APPL MATH, V33, P1
[7]  
DUHAMEL J, 1837, Journal de l'Ecole Polytechnique, V15
[8]  
HETNARSKI R, 1964, ARCH MECH STOSOW, V16, P2332
[9]  
Hetnarski R. B., 1961, ARCH MECH STOSOW, V13, P295
[10]   A NOTE ON UNIQUENESS IN THERMOELASTICITY WITH ONE RELAXATION-TIME [J].
IGNACZAK, J .
JOURNAL OF THERMAL STRESSES, 1982, 5 (3-4) :257-263