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

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  • Povstenko, Yuriy

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.

Suggested Citation

  • Povstenko, Yuriy, 2015. "Time-fractional thermoelasticity problem for a sphere subjected to the heat flux," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 327-334.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:327-334
    DOI: 10.1016/j.amc.2014.12.073
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    Cited by:

    1. Nyamoradi, Nemat & Rodríguez-López, Rosana, 2015. "On boundary value problems for impulsive fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 874-892.
    2. Zhokh, Alexey & Strizhak, Peter, 2018. "Thiele modulus having regard to the anomalous diffusion in a catalyst pellet," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 58-63.

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