Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses

被引：108
|
作者：
Povstenko, Y. Z. [1 ]
机构：
[1] Jan Dlugosz Univ Czestochowa, Inst Math & Comp Sci, PL-42200 Czestochowa, Poland
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2010年 / 37卷 / 04期
关键词：
Non-Fourier heat conduction; Thermal stresses; Fractional derivative; Fractional differential equation; Mittag-Leffler functions; AXISYMMETRICAL THERMOELASTIC INTERACTIONS; ENERGY-DISSIPATION; UNBOUNDED BODY; DIFFUSION; EQUATION;
D O I：
10.1016/j.mechrescom.2010.04.006
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The theory of thermal stresses based on the heat conduction equation with the Caputo time-fractional derivative of order a is used to investigate thermal stresses in an infinite body with a circular cylindrical hole. The solution is obtained applying Laplace and Weber integral transforms. Several examples of problems with Dirichlet and Neumann boundary conditions are presented. Numerical results are illustrated graphically. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：436 / 440
页数：5
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