Generalized theory of thermoelastic diffusion for anisotropic media

被引:94
作者
Aouadi, Moncef [1 ]
机构
[1] Rustaq Fac Educ, Dept Math & Comp Sci, Sultanate Of Oman, France
关键词
thermoelastic diffusion; uniqueness; reciprocity; variational principle;
D O I
10.1080/01495730701876742
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 with one relaxation time, are given in anisotropic media. A variational principle for the governing equations is obtained. Then we show that the variational principle can be used to obtain a uniqueness theorem under suitable conditions. A reciprocity theorem for these equations is given. The obtained results are valid for some special cases that can be deduced from our generalized model.
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页码:270 / 285
页数:16
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