Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

IF 1.7 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
D. Sheoran, Komal Yadav, Baljit Singh Punia, K. K. Kalkal
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引用次数: 1

Abstract

PurposeThe purpose of this paper is to analyse the transient effects in a functionally graded photo-thermoelastic (TE) medium with gravity and rotation by considering two generalised TE theories: Lord–Shulman (LS) and Green–Lindsay (GL). The governing equations are derived in rectangular Cartesian coordinates for a two dimensional problem.Design/methodology/approachAll the physical properties of the semiconductor are supposed to vary exponentially with distance. The analytical solution is procured by employing normal mode technique on the resulting non-dimensional coupled field equations with appropriate boundary conditions.FindingsFor the mechanically loaded thermally insulated surface, normal displacement, stress components, temperature distribution and carrier density are calculated numerically with the help of MATLAB software for a silicon semiconductor and displayed graphically. Some particular cases of interest have also been deduced from the present results.Originality/valueThe effects of rotation and non-homogeneity on the different physical fields are investigated on the basis of analytical and numerical results. Comparisons are made with the results predicted by GL theory in the presence and absence of gravity for different values of time. Comparisons are also made between the three theories in the presence of rotation, gravity and in-homogeneity. Such problems are very important in many dynamical systems.
重力作用下旋转功能梯度半导体材料的热力学相互作用
目的通过考虑Lord–Shulman(LS)和Green–Lindsay(GL)两种广义光热弹性理论,分析具有重力和旋转的功能梯度光热弹性(TE)介质中的瞬态效应。在直角笛卡尔坐标系中导出了二维问题的控制方程。设计/方法/方法半导体的所有物理特性都应该随着距离呈指数变化。在适当的边界条件下,通过对所得到的无量纲耦合场方程采用正模技术来获得解析解。结果利用MATLAB软件对机械加载的硅半导体绝热表面进行了法向位移、应力分量、温度分布和载流子密度的数值计算,并进行了图形显示。还从目前的结果中推断出了一些感兴趣的特殊情况。原创性/数值在分析和数值结果的基础上,研究了旋转和非均匀性对不同物理场的影响。并与GL理论在有无重力条件下对不同时间值的预测结果进行了比较。在存在旋转、重力和均匀性的情况下,对这三种理论进行了比较。这样的问题在许多动力系统中是非常重要的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
3.70
自引率
5.00%
发文量
60
期刊介绍: Multidiscipline Modeling in Materials and Structures is published by Emerald Group Publishing Limited from 2010
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