Strain energy release rates for a straight-fronted edge crack in a circular bar subject to bending

International audienceCircular-fronted cracks in round bars subject to tension, bending and twisting are considered. Numerical expressions are given allowing the calculation of stress intensity factors $K_I$, $K_{II}$, $K_{III}$ at every point on the crack front for a wide range of crack geometries. Comparisons are made with analytical, experimental and numerical results available in the literature. Crack shapes satisfying the iso-$K_I$ criterion are also determined, making it possible to investigate the problem of crack growth behaviour under tensile or bending fatigue loads

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“…Further, deriving expression (5) gives (14) Hence the slopes at a/R = 0 of the normalized KIA curves are …”

Section: Bar Under Tensionmentioning

confidence: 99%

Part-circular surface cracks in round bars under tension, bending and twisting

Levan

Royer

1993

Int J Fract

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“…Strain energy release rates for a straight-fronted edge crack in a circular bar have been obtained for tension [3] and pure bending [4] using a plane stress finite element model. Element thicknesses were adjusted to follow the circular contour of the cross-section as a series of steps.…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factors for an edge cracked circular bar in tension and bending

Fenner

1988

Int J Fract

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The variation of the stress intensity factor along the front of an edge crack in an elastic bar of circular cross-section is determined. Both straight and circular-arc crack fronts are modelled using a three-dimensional finite element analysis of the tension and bending problems. Results are obtained for crack depth to bar diameter ratios ranging from 0.1 to 0.594, in the case of cracks with straight fronts, and from 0.175 to 0.6, in the case of cracks with curved fronts.

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“…The strain energy release rate of the crack is determined using a method developed by the authors (4) (6) and used to determine the strain energy release rate of a straight-fronted edge crack in a round bar subjected to pure bending (7). The method involves modelling the circular bar with plane-stress finite elements, the thickness of which depends on their position across th'e section and their distance along the axis of the bar from the crack plane.…”

Section: Methods Of Analysismentioning

confidence: 99%

Strain energy release rate for a circular-arc edge crack in a bar under tension or bending

Daoud¹,

Cartwright

1985

The Journal of Strain Analysis for Engineering Design

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A bar of circular cross-section is modelled with two-dimensional plane-stress finite elements. The bar has a crack at its edge, the front of which is a circular arc. The ends of the bar remote from the crack are subjected to either an axial load or a bending moment in the plane of symmetry of the cracked section. The strain energy release rate of the crack is determined from a finite element model as the rate of change of elastic energy in the bar for successive positions of the circular arc crack front. The values of strain energy release rate so determined are found to be comparable with existing results obtained from three-dimensional finite element analyses. The effect of curvature is found to cause a reduction in the strain energy release rate compared to that for a straight fronted crack of the same maximum depth in a bar under the same loading conditions. The results obtained are superimposed to obtain strain energy release rates for the circular arc crack edge subjected to a combined tensile load and a bending moment.

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Strain energy release rates for a straight-fronted edge crack in a circular bar subject to bending

Cited by 51 publications

References 8 publications

Part-circular surface cracks in round bars under tension, bending and twisting

Part-circular surface cracks in round bars under tension, bending and twisting

Stress intensity factors for an edge cracked circular bar in tension and bending

Strain energy release rate for a circular-arc edge crack in a bar under tension or bending

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