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For example, the partial closure or adjusted compliance ratio (ACR) methods are required to obtain the best correlation of data.
Both the classical Elber's approach and more recent approaches based on partial crack closure concept (adjusted compliance ratio, ACR, and 2/π methods) were considered.
Although this new model, as an augmentation of Newman's model, shows great promise, both of these models require measurements of opening loads which are avoided by Donald's 'adjusted compliance ratio' and other approaches.
The adjusted compliance ratio (ACR), crack wake influence (CWI), and conventional Elber crack opening load approaches were considered, with the CWI approach reported in the literature generalized to allow a crack surface traction distribution.
The finite element analysis provided the load displacement curve at various locations as is commonly done in experimental work, and the crack opening stress intensity factor (Kop) was determined with ASTM standard methods, Elber's method, and the Adjusted Compliance Ratio (ACR) method.
Four different methodologies were considered to assess fatigue crack closure: (a) a node displacement method monitoring the first and second nodes behind the crack tip, (b) a contact stress method, (c) the traditional compliance offset method, and (d) the adjusted compliance ratio (ACR) technique.
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Open image in new window Figure 12 Compliance ratios associating with the rotational freedom Open image in new window Figure 13 Compliance ratios associating with the translation freedom.
Open image in new window Figure 16 Compliance ratios associating with the rotational freedom.
The compliance ratios (c11/c22, c11/c33, c44/c55, c44/c66) are plotted against the distance a in Figures 14 and 15. Figure 14 shows that as the distance of intersecting beams increases, the compliance ratios c11/c22 and c11/c33 both decrease to approximate 288.
It is shown that with the increase of the angle of beam orientation, the compliance ratios c11/c22 and c44/c66 both decrease.
Based on the illustrated analysis above and in view of the design purpose for this paper, (theta = {uppi mathord{/ {vphantom {uppi 4}} kern-0pt} 4}) is selected to enable all compliance ratios to be large enough for better performance, so that we can obtain relatively high compliance in the specified DOF direction and relatively low compliance in the specified DOC direction.
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