Crack-Extension Force for a Part-Through Crack in a Plate

Irwin, G. R.

doi:10.1115/1.3640649

Cited by 670 publications

(192 citation statements)

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“…Sin [22] has discussed this point in detail in connection with the finite thickness crack problem. This difficulty is clearly evidenced by the variation among results [6,9,10] published on the semi-circular and semi-el 1iptical surface crack problems. In [6,9], the maximum value of the stress-intensity factor was found to be on the free surface, whereas in [10] the maximum occurred at the utmost interior point of the crack front.…”

Section: Surface Crack Problemmentioning

confidence: 92%

Alternating method applied to edge and surface crack problems

Hartranft

Sih

1973

Methods of Analysis and Solutions of Crack Problems

104

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The Schwarz-Neumann alternating method is employed to obtain stress intensity solutions to two crack problems of practical importance: (1) a semi-infinite elastic plate containing an edge crack which is subjected to concentrated normal and tangential forces, and (2) an elastic halfspace containing a semicircular surface crack which is subjected to uniform opening pressure. The solution to the semicircular surface crack is seen to be a significant improvement over existing approximate solutions. Application of the alternating method to other crack problems of current interest is briefly discussed.

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Section: Surface Crack Problemmentioning

confidence: 92%

Alternating method applied to edge and surface crack problems

Hartranft

Sih

1973

Methods of Analysis and Solutions of Crack Problems

104

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“…The strain energy release rate can be measured directly from the work done to propagate a sub-critical crack [9], and it has long been the practice to calculate the SIF from the applied loads using analytical solutions or finite element methods with knowledge of the specimen geometry and applied load or displacement boundary conditions [10,11]. Elastic-plastic fracture mechanics also enables the extraction of the SIF or strain energy release rate via measurements of the crack opening displacements [12][13][14]. However, in some cases these standard solutions can be inadequate or inaccurate.…”

Section: Introductionmentioning

confidence: 99%

J-Integral Calculation by Finite Element Processing of Measured Full-Field Surface Displacements

et al. 2017

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A novel method has been developed based on the conjoint use of digital image correlation to measure full field displacements and finite element simulations to extract the strain energy release rate of surface cracks. In this approach, a finite element model with imported full-field displacements measured by DIC is solved and the J-integral is calculated, without knowledge of the specimen geometry and applied loads. This can be done even in a specimen that develops crack tip plasticity, if the elastic and yield behaviour of the material are known. The application of the method is demonstrated in an analysis of a fatigue crack, introduced to an aluminium alloy compact tension specimen (Al 2024, T351 heat condition).

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“…A similar result from a simpler analysis by Irwin 27 suggests that the specimen could be analyzed as a semi-infinite plate with only crack width, depth, and specimen thickness as the governing linear dimensions.…”

Section: Finite Element Analysismentioning

confidence: 65%