長方形配置および千鳥配置のだ円孔群をもつ無限体の引張り : 最大応力と引張剛性の計算式

概要

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This paper is concerned with a theoretical analysis of a rectangular array and a zig-zag array of elliptical holes in solids under uniaxial tension. In the analyses, we choose suitable unit regions, and express Laurent series expansions for the complex potentials in forms satisfying the traction-free conditions along the elliptical hole edges. Then the unknown coefficients in the Laurent series are determined from the boundary conditions at the outer edges of the used unit regions. At this stage, we use a procedure based on element-wise resultant forces and displacements in order to get highly accurate results. Numerical results of the maximum stresses represented in dimensionless forms in the whole range of the shapes of the holes including cracks, and the tensile stiffnesses of the solids with the holes, are given for various values of the parameters. The results are fitted to reliable polynomial formulae for convenience of engineering applications.
久留米工業大学の論文
1997-12-20