Time-fractional thermoelasticity problem for a sphere subjected to the heat flux

Yuriy Povstenko

Applied Mathematics and Computation, 2015, vol. 257, issue C, 327-334

Abstract: The theory of thermal stresses based on the heat conduction equation with the Caputo time-fractional derivative is used to study central symmetric thermal stresses in a sphere. The solution is obtained using the Laplace transform with respect to time and the finite sin-Fourier integral transform with respect to the radial coordinate. The physical Neumann problem with the prescribed boundary value of the heat flux is considered. Numerical results are illustrated graphically.

Keywords: Non-Fourier heat conduction; Fractional calculus; Thermal stresses; Mittag–Leffler function (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:327-334

DOI: 10.1016/j.amc.2014.12.073

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