Numerical Solution of Singular Integral Equations of the Body Force Method in Stress Concentration Problems under In-Plane Bending.

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Other Title
  • 面内曲げ応力集中問題における体積力法の特異積分方程式の数値解析法
  • メンナイマゲ オウリョク シュウチュウ モンダイ ニ オケル タイセキリョクホ
Published
1998
Resource Type
journal article
DOI
  • 10.1299/kikaia.64.2203
Publisher
The Japan Society of Mechanical Engineers

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Description

This paper delas with numerical solutions of singular integral equations in an interaction of elliptical holes under in-plane bending. The body force method is used to formulate the problem as a system of singular integral equations with Cauchy-type singularities, where unknowns are the densities of body forces distributed in an infinite plate. In order to satisfy the boundary conditions along elliptical boundaries, the unknown body force densities are approximated by a linear combination of fundamental densities functions and polynomials. The calculations are carried out for several arrangement of elliptical holes, and it is found that the present method yields rapidly converging numerical results. The body force densities and stress distributions along the boundaries are shown in figures to demonstrate the accuracy of present solutions.

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