各向异性平面介质稳态导热的格林函数及其在热弹性边界元分析中的应用

IF 2.6 3区工程技术 Q2 MECHANICS

Journal of Thermal Stresses Pub Date : 2023-07-14 DOI:10.1080/01495739.2023.2232420

C. Hwu, M. Hsieh, Cheng-Lin Huang

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引用次数: 0

摘要

摘要本文给出了各向异性平面介质中稳态热传导的几种格林函数，包括(1)无限平面，(2)半平面，(3)双材料平面，(4)带椭圆孔或直裂纹的无限平面，(5)带椭圆弹性内含物的无限平面。利用各向异性弹性与热传导之间的联系，得到了这些解。首先将二维各向异性弹性的Stroh形式简化为反平面变形，然后将反平面变形与热传导进行类比。这些格林函数作为边界元法的基本解，导出的温度场和边界上的梯度作为热弹性分析的输入。用解析解或有限元解验证了热传导和热弹性的结果。

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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Some Green’s functions for steady-state heat conduction in anisotropic plane media and their application to thermoelastic boundary element analysis

Abstract In this paper, we present several Green’s functions of steady-state heat conduction in anisotropic plane media, including (1) an infinite plane, (2) a half-plane, (3) a bi-material plane, (4) an infinite plane with an elliptical hole or a straight crack, and (5) an infinite plane with an elliptical elastic inclusion. These solutions are obtained by using the link between anisotropic elasticity and heat conduction. We start with reducing the Stroh formalism for two-dimensional anisotropic elasticity to anti-plane deformation and then use the analogy between anti-plane deformation and heat conduction. These Green’s functions serve as fundamental solutions of boundary element method, and the derived temperature field and gradients on the boundary are used as input for thermoelastic analysis. The results of heat conduction and thermoelasticity are verified with analytical solutions or finite element solutions.

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来源期刊

Journal of Thermal Stresses 工程技术-力学

CiteScore

5.20

自引率

7.10%

发文量

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.