Generalized Heat Equation with the Caputo-Fabrizio Fractional Derivative for a Nonsimple Thermoelastic Cylinder with Temperature-Dependent Properties

被引:29
作者
Abouelregal, A. E. [1 ,2 ]
Sofiyev, A. H. [3 ,4 ]
Sedighi, H. M. [5 ,6 ]
Fahmy, M. A. [7 ,8 ]
机构
[1] Jouf Univ, Coll Sci & Arts, Dept Math, Al Qurayyat 75911, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] Istanbul Ticaret Univ, Coordinat Gen Courses, TR-34445 Istanbul, Turkiye
[4] Azerbaijan State Econ Univ, Sci Res Ctr Composit Mat, Baku 1001, Azerbaijan
[5] Shahid Chamran Univ Ahvaz, Fac Engn, Mech Engn Dept, Ahvaz 6135743337, Iran
[6] Shahid Chamran Univ Ahvaz, Drilling Ctr Excellence & Res Ctr, Ahvaz 6135743337, Iran
[7] Umm Al Qura Univ, Jamoum Univ Coll, Dept Math, Jamoum 25371, Makkah, Saudi Arabia
[8] Suez Canal Univ, Fac Comp & Informat, Dept Basic Sci, Ismailia 41522, Egypt
关键词
two-temperature theory; Caputo-Fabrizio differential operator; thermal conductivity; heat source; ORDER; MODEL; STABILITY; WAVES;
D O I
10.1134/S1029959923020108
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In the current paper, a generalized thermoelastic model with two-temperature characteristics, including a heat transfer equation with fractional derivatives and phase lags, is proposed. The Caputo-Fabrizio fractional differential operator is used to derive a new model and to solve the singular kernel problem of conventional fractional models. The suggested model is then exploited to investigate responses of an isotropic cylinder with variable properties and boundaries constantly exposed to thermal or mechanical loads. The elastic cylinder is also assumed to be permeated with a constant magnetic field and a continuous heat source. The governing partial differential equations are formulated in dimensionless forms and then solved by the Laplace transform technique together with its numerical inversions. The effects of the heat source intensity and fractional order parameter on the thermal and mechanical responses are addressed in detail. To verify the integrity of the obtained results, some comparative studies are conducted by considering different thermoelastic models.
引用
收藏
页码:224 / 240
页数:17
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