Generalized Theory of Thermoelastic Diffusion for Anisotropic Media

Abstract

Abstract 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. Keywords: Thermoelastic diffusionUniquenessreciprocityVariational principle The author would like to thank the reviewers for their critical reviews and valuable comments which improved the paper thoroughly.