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

[+] Author and Article Information
K. Yoshikawa

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

N. Hasebe

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

J. Appl. Mech 66(1), 204-210 (Mar 01, 1999) (7 pages) doi:10.1115/1.2789147 History: Received January 13, 1998; Revised April 27, 1998; Online October 25, 2007


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.

Copyright © 1999 by The American Society of Mechanical Engineers
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