Theoretical Analysis of Elastic Singular Stress Field by use of Singular Integral Equation Method

Simultaneous pairs of dual integral equations with trigonometric kernels encountered in the analysis of mixed boundary value problems by Fourier transforms are solved by reduction to a coupled system of singular integral equations. The method of reduction indicated here is based on the relationship...

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Bibliographic Details
Published inNihon Kikai Gakkai ronbunshū. A Vol. 59; no. 557; pp. 191 - 196
Main Authors Kasano, Hideaki, Matsumoto, Hiroyuki, Nakahara, Ichiro
Format Journal Article
LanguageJapanese
Published The Japan Society of Mechanical Engineers 1993
Subjects
Contact Problem
Crack Problem
Dual Integral Equation
Elasticity
Singular Integral Equation
Stress Concentration
Stress Intensity Factor
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Summary:Simultaneous pairs of dual integral equations with trigonometric kernels encountered in the analysis of mixed boundary value problems by Fourier transforms are solved by reduction to a coupled system of singular integral equations. The method of reduction indicated here is based on the relationship between the Fourier transform and the Hilbert transform. The numerical solution of the simultaneous singular integral equations is obtained by using two types of integration formulae. The accuracy and the convergency of the results are examined by examples of crack problems.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0387-5008
1884-8338
DOI:10.1299/kikaia.59.191