Abstract
We propose a conservative method for the calculation of the maximum stress concentration factor (SCF) for an interacting notch-hole pair and for a double semi-circular notch (i.e., a notch that has an additional small semi-circular notch ahead of its tip). The method is based on a linearly elastic Airy stress function solution for a circular hole. The notch-hole and double notch configurations are aligned vertically with respect to uniform uniaxial (horizontal) stress. This means, a uniform horizontal tension is applied to a notch-hole pair that lie on a vertical axis. For the notch-hole pair, the maximum interacting SCFs are calculated for edge to edge gaps equal to hole sizes of 2.5a, 5a, 10a and 15a, where a is the hole radius. The analytical results are validated by 2-D finite element calculations. The presented simple approach provides good results with errors well below 10% in most cases compared to the detailed finite element analyses. Fatigue notch factors that can be thought of as the effective SCFs in fatigue analyses are determined. By using the simple approach, computationally costly finite element analysis can be avoided.
Highlights
Machineries, vehicles, ships and airliners have numerous components which contain stress concentrations
Maximum stress concentration factor (SCF) of interacting notches and holes in semi-infinite plates oriented perpendicular to uniaxial tension were estimated
The analyses considered surface notch-hole pair radii ratios of 10:1 and 5:1 for different notch-hole gap sizes d
Summary
Machineries, vehicles, ships and airliners have numerous components which contain stress concentrations. The interaction effect is defined as an increase or decrease of stress concentration when notches and holes exist close to each other. For an array (or line) of notches and holes parallel to a tensile load, an interaction occurs that decreases stress concentrations. An increase in stress concentration tends to occur when notch and hole arrays are aligned perpendicular to tensile loading. There are several other studies on the interaction of neighbouring geometrical discontinuities based on analytical, experimental and finite element simulation approaches in addition to Murakami’s work [2]. A case of two circular holes in an infinite plate was studied by Hamad, Masuda and Mizushima [4] They used a numerical approach to estimate an interacting SCF. The study includes notchhole and notch-notch geometries with 5:1 and 10:1 radii ratios
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