Theories of thermal stresses based on space-time-fractional telegraph equations

被引：55

作者：

Povstenko, Yuriy ^{[1
]}

机构：

[1] Jan Dlugosz Univ Czestochowa, Inst Math & Comp Sci, PL-42200 Czestochowa, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 10期

关键词：

Non-Fourier heat conduction; Fractional calculus; Telegraph equation; Thermal stresses; Mittag-Leffler functions; MULTIDIMENSIONAL SOLUTIONS; HEAT-CONDUCTION; DIFFUSION;

D O I：

10.1016/j.camwa.2012.01.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generalized telegraph equations with time- and space-fractional derivatives are considered. The corresponding theories of thermal stresses are formulated. The proposed theories interpolate the classical thermoelasticity, the theory of Lord and Shulman, thermoelasticity without energy dissipation of Green and Naghdi, and theories of fractional thermoelasticity proposed earlier. The fundamental solution to the nonhomogeneous space-time-fractional telegraph equation as well as the corresponding thermal stresses are obtained in the axisymmetric case. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3321 / 3328

页数：8

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