Formulae of Maximum Stresses and Tensile Stiffnesses for Rectangular Array and Zig-zag Array of Elliptical Holes in Solids under Uniaxial Tension

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概要

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• This paper is concerned with theoretical analyses 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 convensience of engineering applications.

• 久留米工業大学の論文
• 1999-12-20

著者

• 井川 秀信

  機械工学科

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• Formulae of Maximum Stresses and Tensile Stiffnesses for Rectangular Array and Zig-zag Array of Elliptical Holes in Solids under Uniaxial Tension
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