The elastic problem for an infinite solid containing a circular hole with a pair of radial edge cracks of different lengths

Tweed, J.; Rooke, D.P.

doi:10.1016/0020-7225(76)90104-x

Cited by 38 publications

(22 citation statements)

References 3 publications

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“…The stress intensity factors given by(18) with D/W = 0.1 and H/W = 2.0 are shown in Fig. 7, as a function of the relative crack length 2I/D, for three ratios of the load Effect of load transfer ratio for H/W = 2.0 and D/W = 0.l.…”

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confidence: 99%

Opening mode stress intensity factors for cracks in pin-loads joints

Cartwright

Parker

1982

Int J Fract

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Opening mode stress intensity factors are determined using point matching for two diametrically opposed radial cracks at a hole in a rectangular sheet v/here the cracks lie along the line of the minimum section. The sheet is subjected to either a biaxial stress on its edge or a pressure distribution on the hole boundary. The pressure on the hole is uniform or has a cosine distribution, symmetrical about the line of the cracks and having zero value on the crack-line. By applying the principle of superposition it is shown that the results can be applied to pin-loaded joints to determine stress intensity factors for different combinations of pin-load and interference fit and the effects of load transfer ratio between the pin or rivet load and the remote loading. Detailed results are given for stress intensity factors of cracks in a wide range of typical pin-joint configurations and it is shown that the stress intensity factors, for small cracks, are strongly dependent on the type of pressure distribution assumed to represent the pin-loading. Reducing the distance from the pin to the stress-free end of the joint is shown to increase the stress intensity factor more in the case of pin-loading than in the case of a uniaxial stress. The stress intensity factors, determined for simple lug-joints, are in agreement with available results from existing theoretical and experimental work and, for cracks at fastener holes, comparisons are made with other more approximate solutions. 0376-9429/82/010065-14500.20/0 Int. Journ. of Fracture, 18 (1982) 65-78

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confidence: 99%

Opening mode stress intensity factors for cracks in pin-loads joints

Cartwright

Parker

1982

Int J Fract

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“…The magnitude of these forces is given by (6) The stress intensity factor K* due to the forces F is given by substituting…”

Section: Lower Boundmentioning

confidence: 99%

“…The bounding functions B 1 and Bz are determined from the stress intensity factor for a crack of length l, subjected to a uniform pressure, at the edge of a hole of radius R which can be deduced from available results [6] and equivalent results for the case in which the crack is loaded by opposing localised forces at its junction with the hole [7]. The resulting bounding functions are tabulated in Table 1 which is in agreement with the result [4] for an edge crack in a half-plane.…”

Section: Upper and Lower Bounds For A Crack At A Holementioning

confidence: 99%

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Bounding functions for stress intensity factors

Cartwright

1984

Int J Fract

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Functions for determining upper and lower bounds on opening mode stress intensity factors are derived. These are used to determine bounding functions for a radial crack at the edge of a hole and for a crack at the edge of a finite width strip. It is shown that, for the limiting case of vanishingly small cracks, these bounding functions approach a value which is in agreement with previously determined values for an edge crack in a half-plane. The application to cracks at holes is assessed by using the functions to determine upper and lower bounds on the stress intensity factor of a crack at a hole in a large sheet for a wide range of loading conditions, typical of engineering applications, and for which accurate results are available. The upper and lower bounds are shown to be within a few percent of each other either side of the accurate results, particularly in the important range of small crack lengths. A similar situation is shown to occur for the upper and lower bounds determined from the bounding functions for an edge cracked strip where the strip is subjected to a thermal transient stress distribution.

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“…The In applying the Willenborg model to fatigue crack initiation, let DOl be the damage due to overload stress vol. The DOI can be calculated as DOo = I/Nol, where Nol is obtained from Equation (18). Let di = I /ni be the damage induced by the stress Vi after overload, where ni can be calculated from Equation (18) if the effective stress is known.…”

Section: Load Interaction Effectmentioning

confidence: 99%