高阶热扩散半导体介质中平面波传播与反射的非定域理论

IF 2.6 3区 工程技术 Q2 MECHANICS
Hashmat Ali, Aarouj Ahmed, Iftikhar Ahmed, A. Jahangir, E. Azhar
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引用次数: 0

摘要

本文研究了弹性波在非局部广义热扩散半导体弹性固体中的传播和反射。采用非局域理论研究了波浪的特性。采用具有高阶分数阶导数的三相滞后模型和两相滞后扩散方程来讨论热在介质中的传播。利用亥姆霍兹矢量规则将系统分解为纵向分量和横向分量。频散关系表明存在四个耦合纵波和一个不耦合横波。对于局部介质和非局部介质,将波的速度与角频率作了对比。波的截止频率也用图形表示。将纵波作为固体自由表面的入射波来计算反射系数。研究了分数阶参数和非局部参数对振幅比的影响。这些参数的影响是显著的。结果在节能的背景下得到了验证。从目前的研究中得到的结果对研究地球物理学和力学各领域问题的科学家是非常有用的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlocal theory of propagation and reflection of plane waves in higher order thermo diffusive semiconducting medium
Abstract The present article is related to propagation and reflection of elastic wave through a nonlocal generalized thermo-diffusive semiconducting elastic solid. The non-local theory is employed to study the wave behavior. Three phase lag model with higher order fractional order derivative is incorporated to discuss heat propagation through the medium, in addition with two phase lags diffusion equation. The Helmholz vector rule is applied to decompose the system into longitudinal and transverse components. The frequency dispersion relation indicates the presence of four coupled longitudinal and one un-coupled shear vertical wave. The speed of the waves is plotted against angular frequency for local and nonlocal medium. The cutoff frequency of the waves is also depicted graphically. The longitudinal P-wave is taken to be an incident wave at the free surface of the solid to compute the reflection coefficients. The influences of fractional order and nonlocal parameters on amplitude ratios are also studied. The effect of these parameters is found to be significant. The results are proved in the context of energy conservation. The results obtained from the current investigation are very useful for scientists working on problems of geophysics and various fields of mechanics.
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来源期刊
Journal of Thermal Stresses
Journal of Thermal Stresses 工程技术-力学
CiteScore
5.20
自引率
7.10%
发文量
58
审稿时长
3 months
期刊介绍: The first international journal devoted exclusively to the subject, Journal of Thermal Stresses publishes refereed articles on the theoretical and industrial applications of thermal stresses. Intended as a forum for those engaged in analytic as well as experimental research, this monthly journal includes papers on mathematical and practical applications. Emphasis is placed on new developments in thermoelasticity, thermoplasticity, and theory and applications of thermal stresses. Papers on experimental methods and on numerical methods, including finite element methods, are also published.
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