Stress-concentration factors for multiple semielliptical notches in beams under pure bending

Ching, A.; Okubo, S.; Tsao, C. H.

doi:10.1007/bf02326348

Cited by 4 publications

(1 citation statement)

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“…Although reference [1] is dominated by stress concentration factors for circular shapes, the book presents in section 2.6.6 (on single or multiple notches with semicircular or semielliptic notch bottom) a reference to an earlier paper by Ching et al [6] who stated that much can be gained by semielliptic shapes. The study [6] is based on photoelastic experiments but it does not seem to have created a drastic change in the use of elliptic shapes relative to circular shapes for notches. The hope is that the present paper may add to such a change.…”

Section: Introductionmentioning

confidence: 99%

Design of notches and grooves by means of elliptic shapes

Pedersen

2008

The Journal of Strain Analysis for Engineering Design

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For machine elements that must also be designed with respect to fatigue, the stress concentration factor for notches and grooves is an important quantity. Traditional designs with circular shapes are not advantageous and, in the present paper, it is shown that stress concentration factors can be reduced significantly without the need for complicated shapes. To keep the shape simple, the circular shapes are modified into elliptic shapes with only one design parameter: the ratio of the ellipse half-axes.Comparisons with classical results are performed for notches in two-dimensional flat tensile bars and for grooves in axisymmetric tensile shafts. In general, the detailed finite element analyses agree well with these results and this gives confidence in the improved designs. Shapes are obtained with constant maximum stress along a major part of the elliptic shape, and the stress concentration factors are reduced considerably.

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Section: Introductionmentioning

confidence: 99%