Journal
JOURNAL OF THERMAL STRESSES
Volume 34, Issue 8, Pages 851-872Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01495739.2011.586274
Keywords
Fractional calculus; Modified Fourier law; Reciprocity theorem; Thermoelasticity diffusion; Uniqueness theorem; Variational principle
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In this work, a new theory of thermodiffusion in elastic solids is derived using the methodology of fractional calculus. The theories of coupled thermoelastic diffusion and of generalized thermoelastic diffusion problem with one relaxation time follow as limit cases. A variational theorem is then obtained for the governing equations. Finally, a uniqueness and reciprocity theorems for these equations are derived.
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