A Solution of the Mixed Boundary Value Problem for an Infinite Plate With a Hole Under Uniform Heat Flux

[+] Author and Article Information
Norio Hasebe, Hideaki Irikura, Takuji Nakamura

Department of Civil Engineering, Nagoya Institute of Technology, Gokisocho, Showaku, Nagoya 466, Japan

J. Appl. Mech 58(4), 996-1000 (Dec 01, 1991) (5 pages) doi:10.1115/1.2897719 History: Received December 07, 1989; Revised March 15, 1991; Online March 31, 2008


A general solution of the mixed boundary value problem with displacements and external forces given on the boundary is obtained for an infinite plate with a hole subjected to uniform heat flux. Complex stress functions, a rational mapping function, and the dislocation method are used for the analysis. The stress function is obtained in a closed form and the first derivative is given by such a form that does not contain the integral term. The mapping function is represented in the form of a sum of fractional expressions. A problem is solved for a crack initiating from a point of a circular hole on which the displacement is rigidly stiffened. Stress distributions and stress intensity factors are calculated.

Copyright © 1991 by The American Society of Mechanical Engineers
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