Evaluation of the elastic stress distribution ahead of a crack by weight functions

Beghini, Marco; Bertini, Leonardo; Vitale, E.

doi:10.1016/0013-7944(92)90215-z

Cited by 5 publications

(5 citation statements)

References 14 publications

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“…From [4,5] one can find an exact solution of the stress distribution ahead of the crack tip obtained by means of the Westergaard stress function method for an infinite plate with a crack length of 2a, subjected to a uniformly-distributed stress of ~ as follows (Fig. 2):…”

mentioning

confidence: 99%

Determination of precise geometric correction factor regarding stress intensity by a ?force balance method?

1993

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mentioning

confidence: 99%

Determination of precise geometric correction factor regarding stress intensity by a ?force balance method?

1993

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“…3 for different values of bl/a and b2/a (Note: in Fig. The results showed that the weight function solutions (WFs) are within 0.01% of the theoretical formula solutions (TFs), which is in the same order as that for the center cracked infinite strip subjected to the other loading configurations, i.e., remotely applied stress and uniform distribution pressure acting on the crack [7]. The results showed that the weight function solutions (WFs) are within 0.01% of the theoretical formula solutions (TFs), which is in the same order as that for the center cracked infinite strip subjected to the other loading configurations, i.e., remotely applied stress and uniform distribution pressure acting on the crack [7].…”

Section: Ormentioning

confidence: 62%

“…For a two-dimensional cracked geometry, once the weight function (WF) and the stress distribution t~,(X,a) ahead of a crack length a along the crack line direction are known, the SIF of the cracked geometry of length c(c>a) can be obtained from the following [7] f.~ (~. (X, a)h (X ,c)d X = K(c).…”

Section: R4mentioning

confidence: 99%

“…(3). A guidance for a proper selection of the model parameters m and n has been given in [7], where m stands for the number of equations, n+l stands for the terms of the power expansion in (3).…”

Section: R4mentioning

confidence: 99%

“…The WFM developed by Beghini et al [7] is used to evaluate accurately the stress distribution ahead of a crack tip for a cracked geometry. After the accuracy of the WFM has been examined by using a center cracked infinite strip loaded by two parts of a uniformly distributed stress acting on the crack as shown in Fig.…”

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confidence: 99%

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Assessment of force balance method used to calculate stress intensity factors for center cracked finite strips

Liu

1996

Int J Fract

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Recently, a simple new approach -force balance method (FBM) -and its improved version have been proposed to calculate geometric correction factors [1][2][3][4]. In the initial FBM, the stress distribution in front of the crack tip along the crack line for a finite-width plate was assumed to have the same form as that in the corresponding infinite plate, modified by a geometric correction factor. In the improved version, the stress distribution ahead of the crack tip along the crack line for a finite-width was assumed to have a similar form to that in the corresponding infinite plate, modified by adding a geometric correction factor to the singular term only [1,2]. By means of the assumed stress distributions and the principle of force equilibrium, one can easily derive the geometric correction factors which were found to be in good agreement with the results reported in the literature. However, there is an argument that the above-mentioned assumptions do not seem very convincing, although the assumption of the initial FBM was numerically assessed by means of finite element method for the cases of the standard CCT specimen loaded by the remotely applied stress and a pair of tensile forces on the center of the specimen [5,6], and the results showed that the assumption is basically applicable. For the center cracked finite specimer subjected to a segment uniform pressure acting over an arbitrary part of the crack, the validity of the assumptions has been assessed.

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Determination of precise geometric correction factor regarding stress intensity by a “force balance method”

Chen¹,

Weiß²,

Stickler³

1993

Int J Fract

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Evaluation of the elastic stress distribution ahead of a crack by weight functions

Cited by 5 publications

References 14 publications

Determination of precise geometric correction factor regarding stress intensity by a ?force balance method?

Determination of precise geometric correction factor regarding stress intensity by a ?force balance method?

Assessment of force balance method used to calculate stress intensity factors for center cracked finite strips

Determination of precise geometric correction factor regarding stress intensity by a “force balance method”

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