Thermoelastic Waves Propagation through Semiconductor Nanostructure by a Ramp Heat Source

被引:1
|
作者
Abo-Dahab, S. M. [1 ]
Jahangir, Adnan [2 ]
Elidy, E. S. [3 ]
Albalwi, M. D. [4 ]
Hafed, Zahra S. [5 ]
Aiyashi, M. A. [6 ]
机构
[1] South Valley Univ, Dept Math, Fac Sci, Qena 83523, Egypt
[2] COMSATS Univ Islamabad, Math Dept, Wah Campus, Wah Cantt, Pakistan
[3] Zagazig Univ, Fac Sci, Dept Math, POB 44519, Zagazig, Egypt
[4] Royal Commiss Jubail & Yanbu, Yanbu Ind Coll, Al Jubayl 30436, Saudi Arabia
[5] King Khaled Univ, Fac Sci, Dept Math, Abha 21589, Saudi Arabia
[6] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia
关键词
Laplace transforms method; Fractional order derivatives; Nonlocal effect; Nanostructure; thermoelasticity; FRACTIONAL ORDER; ROTATING MEDIA; DISSIPATION; REFLECTION; CONDUCTION; MODELS;
D O I
10.1007/s12633-023-02815-7
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this article, elastic waves propagating through a semi-conducting nanostructure solid are investigated. A mathematical model representing the phenomenon is formulated using generalized thermoelastic theory along with coupled nonlocal elastic theory. Incorporating a heat equation of fractional order allows us to investigate the impact of temperature on wave motion. The decomposition method is used to separate the governing equations into their longitudinal and transverse parts. It is found that one S-type and three P-type waves are propagating through the medium. A comparison between three phase lag "3HPL" and Green and Nagdhi type III "GN-III" was considered. For a given material, analytical results for the reflection coefficient of each of the reflected waves are displayed graphically by using the MATHEMATICA software program. The influence of nonlocal parameters e(0)a and time derivative fractional order (FO) alpha are also discussed.
引用
收藏
页码:2065 / 2079
页数:15
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