Journal
JOURNAL OF THERMAL STRESSES
Volume 34, Issue 2, Pages 97-114Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01495739.2010.511931
Keywords
Cattaneo equation; Fractional calculus; Non-Fourier heat conduction; Thermal stresses
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Funding
- EWSIE
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Following Compte and Metzler, the generalized Cattaneo-type equations with time-fractional derivatives are considered. The corresponding theory of thermal stresses is formulated. The proposed theory, on the one hand, interpolates the theory of Lord and Shulman and thermoelasticity without energy dissipation of Green and Naghdi and, on the other hand, generalizes theory of thermal stresses based on the fractional heat conduction equation. The fundamental solution to the nonhomogeneous fractional telegraph equation as well as the corresponding stresses are obtained in one-dimensional and axisymmetric cases.
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