Green’s Function for a Heat Source in an Infinite Region With an Arbitrary Shaped Hole-Reference-Cited by-同舟云学术

Green’s Function for a Heat Source in an Infinite Region With an Arbitrary Shaped Hole

Published:1999-03-01 Issue:1 Volume:66 Page:204-210
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Yoshikawa K.¹,Hasebe N.²

Affiliation:

1. Civil Engineering and Design Division, Tokyu Construction Co., Ltd., 1-16-14 Shibuya, Sibuya-ku, Tokyo 150-8340, Japan

2. Department of Civil Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-0061, Japan

Abstract

In two-dimensional thermoelasticity, Green’s functions of the external force boundary value problem are derived for an infinite plane with an arbitrary shaped hole under adiabatic and isothermal boundary conditions subjected to heat sources in two cases as follows. One is the case of a heat source and a heat sink arbitrarily located within the plane, the other is the case of a heat source arbitrarily located within the plane and a heat sink at infinity. Complex stress functions, temperature function, a rational mapping function, and the thermal dislocation method are used for the analysis. In analytical examples, distributions of temperature, heat flux, and stresses are shown for an infinite plane with a rectangular hole under adiabatic and isothermal boundary conditions.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/66/1/204/5465578/204_1.pdf

Reference12 articles.

1. Florence A. L. , and GoodierJ. N., 1960, “Thermal Stresses due to Disturbance of Uniform Heat Flow by an Insulated Ovaloid Hole,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 27, pp. 635–639.

2. Fukui K. , FukuiT., and KaiboriH., 1970, “Thermal Stresses of the Elastic Plane With a Circular Hole, Including One Heat Source,” Transactions of the Japan Society of Mechanical Engineers, Vol. 36, No. 291, pp. 1772–1776.

3. Fukui T. , and FukuiK., 1974, “Thermal Stresses Around Circular Inclusion Due to Heat Source and Sink One,” Transactions of the Japan Society of Mechanical Engineers, Vol. 40, No. 340, pp. 3275–3283.

4. Hasebe N. , and UedaM., 1980, “Crack Originating from a Corner of a Square Hole,” Engineering Fracture Mechanics, Vol. 13, pp. 913–923.

5. Hasebe N. , and InoharaS., 1981, “Stress Intensity Factor at a Bilaterally-Bent Crack in the Bending Problem of Thin Plane,” Engineering Fracture Mechanics, Vol. 14, No. 3, pp. 607–616.

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Green’s functions for steady-state heat conduction in anisotropic plane media and their application to thermoelastic boundary element analysis;Journal of Thermal Stresses;2023-07-14

2. Thermal stress around a smooth cavity in a plate subjected to uniform heat flux;Journal of Thermal Stresses;2021-11-23

3. Stress analysis of an orthotropic elastic infinite plane with a hole;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2021-06-03

4. Analysis for an infinite orthotropic elastic plane with a hole subjected to uniform heat flux;Journal of Thermal Stresses;2021-05-10

5. Analysis of a mixed boundary value problem for an orthotropic elasticity using a mapping function;International Journal of Solids and Structures;2021-01