GREEN'S FUNCTION FOR THERMAL STRESS MIXED BOUNDARY VALUE PROBLEM OF AN INFINITE PLANE WITH AN ARBITRARY HOLE UNDER A POINT HEAT SOURCE

J. J. Han; N. Hasebe

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GREEN'S FUNCTION FOR THERMAL STRESS MIXED BOUNDARY VALUE PROBLEM OF AN INFINITE PLANE WITH AN ARBITRARY HOLE UNDER A POINT HEAT SOURCE

机译：点热源下具有任意孔的无限平面热应力混合边值问题的格林函数

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摘要

Green's function of a point heat source is derived for a mechanical mixed boundary value problem of an infinite plane with an arbitrary hole, for which zero-displacement and traction-free boundary conditions are prescribed to its boundary. As the thermal boundary condition on the hole, either an adiabatic or isothermal condition is considered. By employing the mapping technique and complex variable method, an explicit solution including a hypergeometrical function is obtained. Stress distributions are shown in illustrative examples for a square hole.

机译：针对具有任意孔的无限平面的机械混合边界值问题，导出了点热源的格林函数，对于该问题，边界规定了零位移和无牵引力的边界条件。作为孔上的热边界条件，可以考虑绝热条件或等温条件。通过使用映射技术和复杂变量方法，获得了包含超几何函数的显式解。在说明性示例中显示了方孔的应力分布。

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来源
《Journal of thermal stresses》 |2002年第12期|p.1147-1160|共14页
作者
J. J. Han; N. Hasebe;
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作者单位

Department of Civil Engineering Nagoya Institute of Technology Nagoya, Japan;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类热力工程、热机;
关键词
complex variable method; debonding; green's function; heat source; hypergeometrical function; mapping function; mixed boundary value problem; rigid inclusion; thermoelasticity;

机译：复变量法脱胶格林函数热源;超几何函数映射功能;混合边值问题刚性包裹体热弹性;

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1. Green's function of the displacement boundary value problem for a heat source in an infinite plane with an arbitrary shaped rigid inclusion [J] . K.Yoshikawa, N. Hasebe Archive of Applied Mechanics . 1999,第4期

机译：具有任意形状的刚性夹杂物的无限平面中热源的位移边值问题的格林函数
2. THERMAL STRESS PROBLEM FOR MIXED HEAT CONDUCTION BOUNDARY AROUND AN ARBITRARILY SHAPED HOLE WITH CRACK UNDER UNIFORM HEAT FLUX [J] . Jianjun Han, Norio Hasebe Journal of thermal stresses . 2001,第8期

机译：均匀热流作用下任意形状带裂纹的孔周围混合导热边界的热应力问题
3. Green's function for a thermomechanical mixed boundary value problem of an infinite plane with an elliptic hole [J] . Jianjun Han, Norio Hasebe Journal of thermal stresses . 2001,第9期

机译：具有椭圆孔的无限平面的热机械混合边值问题的格林函数
4. Green's Functions and Boundary Element Method for an Infinite Magneto-Electro-Elastic Half-Plane [C] . A. M. Jiang, H. J. Ding Computational Mechanics . 2004

机译：无限电磁弹性半平面的格林函数和边界元方法
5. A New Green's Function Monte Carlo Algorithm for the Heat Equation Subject to Neumann and Mixed Boundary Conditions: Thermal Analysis of IC Chips. [D] . Young, Sherry W. 2011

机译：适用于Neumann和混合边界条件的热方程的新格林函数Monte Carlo算法：IC芯片的热分析。
6. Uniform stress fields inside multiple inclusions in an elastic infinite plane under plane deformation [O] . Ming Dai, Cun-Fa Gao, C. Q. Ru -1

机译：平面变形下弹性无限平面内多个夹杂物内部的均匀应力场
7. Thermal Stresses of the Elastic Plane with a Circular Hole, Including One Heat Source [O] . Kiyoshi FUKUI, Tsuyoshi FUKUI, Hiroyoshi KAIBORI 1970

机译：具有圆孔的弹性平面的热应力，包括一个热源
8. Thermal Studies in a Geothermal Area: Report I. Thermal Studies at Roosevelt Hot Springs, Utah; Report II. Heat Flow Above an Arbitrarily Dipping Plane of Heat Sources; and Report III. A Datum Correction for Heat Flow Measurements Made on an Arbitrary Surface [R] . Wilson, W. R., Chapman, D. S. 1980

机译：地热区的热学研究：报告I.犹他州罗斯福温泉的热学研究;报告二。热源任意浸渍平面上方的热流;和报告三。在任意表面上进行热流测量的基准校正

GREEN'S FUNCTION FOR THERMAL STRESS MIXED BOUNDARY VALUE PROBLEM OF AN INFINITE PLANE WITH AN ARBITRARY HOLE UNDER A POINT HEAT SOURCE

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