Optimum Hole Shapes in Finite Plates Under Uniaxial Load

Abstract

This paper presents optimized hole shapes in plates of finite width subjected to uniaxial load for a large range of hole to plate widths (D/W) ratios. The stress-concentration factor for the optimized holes decreased by as much as 44 percent when compared to circular holes. Simultaneously, the area covered by the optimized hole increased by as much as 26 percent compared to the circular hole. Coefficients of efficiency between 0.91 and 0.96 are achieved. The geometries of the optimized holes for the D/W ratios considered are presented in a form suitable for use by designers. It is also suggested that the developed geometries may be applicable to cases of rectangular holes and to the tip of a crack. This information may be of interest in fracture mechanics.