Fractional Fourier Law with Three-Phase Lag of Thermoelasticity

被引：74
作者：
Ezzat, Magdy A. [1 ]
El-Bary, Alaa A. [2 ]
Fayik, Mohsen A. [1 ]
机构：
[1] Univ Alexandria, Fac Educ, Dept Math, Alexandria, Egypt
[2] Arab Acad Sci & Technol, Alexandria, Egypt
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2013年 / 20卷 / 08期
关键词：
thermoelasticity; Fourier law; three-phase lag; modified RiemannLiouville fractional derivative; new fractional Taylor's series; periodically varying heat sources; numerical results; GENERALIZED THERMO-VISCOELASTICITY; ENERGY-DISSIPATION; HEAT-CONDUCTION; ORDER THEORY; RELAXATION; UNIQUENESS; THEOREMS; MODEL;
D O I：
10.1080/15376494.2011.643280
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, a new mathematical model of heat conduction for an isotropic generalized thermoelasticity with a three-phase lag is derived using the methodology of fractional calculus. Some theorems of generalized thermoelasticity follow as limited cases. This model is applied to thermoelastic interaction due to periodically varying heat source. Some comparisons are shown in the figures to estimate the effects of the fractional order parameter on all the studied fields.
引用
收藏
页码：593 / 602
页数：10
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