Article

Displacement based calculation of fracture toughness for cracked pipes using R6 method

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Abstract

Determination of fracture toughness, J-R curve from experimental test results requires certain geometry factors such as η and γ. These expressions of geometry factors are available for standard geometries and loading configurations. However, these expressions are not available in open literature for complex geometries and loading configurations. R6 Failure Assessment Diagram (FAD) methodology is used for assessment of failure in the failure regime of cleavage fracture, ductile crack initiation and plastic collapse. Recently, one load based approach was proposed for calculation of fracture toughness by R6 using experimental load vs. crack extension data. On comparison with already reported J-R curves calculated using conventional η -factor approach, predicted results were showing good match for some cases while for few cases it became significantly non-conservative. In this paper, the load based approach is modified to displacement based approach and instead of load vs. crack extension data, displacement vs. crack extension data is used for calculation. The calculated fracture properties using displacement based approach show a marked improvement over results using load based approach while comparing with the conventionally calculated J-R curves. The problem of non-conservatism of predicted fracture properties by load based approach is also resolved by the proposed displacement based approach.

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... Of course, there are also some methods can estimate the fracture toughness with good accuracy, such as the local approach, the stress triaxiality-dependent ductile damage model, the R6 method, etc. However, they cannot precisely characterize the scatter of fracture toughness in the transition region like Master Curve method [12][13][14][15]. ...
... Then the reference temperature T 0 values were easily calculated using Eq. (14). The calculated results are listed in Table 7. ...
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... The compact tension and the single edge notch tension are two other test specimens recommended by the American society for testing and materials (ASTM) [4,5] and British standard institution [6]. There are numerous other specimens which have been proposed in the past to obtain the fracture toughness of materials, see for example [7][8][9][10]. ...
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Limit load solutions for circumferentially cracked cylinders under internal pressure and combined tension and bending
  • M R Jones
  • J M Eshelby