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

Abstract

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

Mixed mode fatigue growth of curved cracks emanating from fastener holes in aircraft lap joints

“…2, we can notice that the present results agree well with those of Chen (1993). Next straight line cracks emanating from a fastener hole are considered and the calculated mode I SIF values are compared with those of Cartwright and Parker (1982). A circular hole of radius R is assumed to be located at the center of a rectangular plate of width 2W, height 2H.…”

Residual stress field and reduction of stress intensity factors in cold-worked holes

“…A total of 3762 elements and 11396 nodes are used in the numerical model. Before simulating the presence of a plastic zone due to the cold-working process, the accuracy of the algorithm is assessed by comparing the predicted stress intensity factor with the solution obtained by Cartwright and Parker [24]. Considering 5 different crack lengths, values of the J−integral [22] are calculated for 10 different paths, and the converged values are used to calculate the stress intensity factor using (31).…”

“…Considering 5 different crack lengths, values of the J−integral [22] are calculated for 10 different paths, and the converged values are used to calculate the stress intensity factor using (31). The stress intersity factors normalized using K 0 = σ √ πa obtained by the numerical models are compared with the values obtained in [24], and the results are shown in Figure 9.…”

“…These differences can be justified by the fact that the methodology proposed in [24] uses a cosine function to simulate the distribution of radial stresses, whereas the numerical model implemented here calculates the radial stresses using a contact algorithm. The difference between the cosine and calculated distributions of radial contact stress is shown in Figure 10.…”

Stress intensity factors for elliptical arc through cracks in mechanical joints by virtual crack closure technique

“…Cartwright and Parker (1982) analyzed the stress intensity factors for symmetric cracks with assuming contact pressure in mechanical joints to be uniform or cosine distribution. Narayana et al (1994) investigated the effects of interference and clearance on stress intensity factors, and Ju (1997) analyzed mixedmode stress intensity factors for both horizontal and inclined cracks in mechanical joints.…”