The infinite sheet with cracked cylindrical hole under inclined tension or in-plane shear

Hsu, Y. C.

doi:10.1007/bf00116365

Cited by 39 publications

(26 citation statements)

References 6 publications

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“…A linear elastic solution for the concentrator of such a form was obtained by Hsu [15,16]. This solution gives the following expression for the stress intensity factor,…”

Section: Fictitious Crack Fracture Criterion (Fcfc)mentioning

confidence: 99%

A comparative analysis of several nonlocal fracture criteria

Isupov

Mikhailov

1998

Archive of Applied Mechanics (Ingenieur Archiv)

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Summary Comparative analysis was carried out for three non-local fracture criteria (NLFC) in application to plane problems: the average stress fracture criterion (ASFC), the minimum stress fracture criterion (MSFC) and the fictitious crack fracture criterion (FCFC). Each of them may be considered as a particular form of the general non-local strength functional. All the criteria contain two material parameters: a characteristic length and the tensile strength (ASFC and MSFC) or the critical stress intensity factor (FCFC).These criteria were used for a strength description of a plate containing a smooth stress concentrator (circular hole) or a singular stress concentrator (central straight crack). It was ascertained that ASFC and FCFC lead to identical results for the symmetrically loaded central straight crack. ASFC and MSFC may be successfully used for the description of strength of the bodies with smooth as well as singular concentrators while the FCFC gives incorrect predictions for large smooth concentrators and for some other cases. Comparison of predicted and experimental data has shown that ASFC is preferable in most cases but nevertheless there exists a systematic deviation of experimental points from the criterion predictions.

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“…A linear elastic solution for the concentrator of such a form was obtained by Hsu [15,16]. This solution gives the following expression for the stress intensity factor,…”

Section: Fictitious Crack Fracture Criterion (Fcfc)mentioning

confidence: 99%

A comparative analysis of several nonlocal fracture criteria

Isupov

Mikhailov

1998

Archive of Applied Mechanics (Ingenieur Archiv)

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“…The analysis of a crack emanating from a circular hole in an infinite plate has been addressed in literature by several authors [1][2][3][4][5]. The problem of a radial crack situated at the edge of a circular hole was considered by Bowie [1] and Wigglesworth [2] by using a conformal mapping technique.…”

Section: Introductionmentioning

confidence: 99%

The stress intensity factor of a crack emanating from a circular hole in a finite plate by boundary collocation method

1990

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The problem of a finite plate containing a circular hole with a crack subjected to a uniform remote stress is analysed by boundary collocation method. For an infinite plate with dimensions large in comparison with the crack length and the radius of the hole, the stress intensity factor (SIF) values calculated by this method coincide very well with the existing solution. Numerical results of the SIF values are obtained for varying crack-length-tohole-radius ratios, l/r, and equivalent crack-length-to-plate-width ratios, a/b. The analysis for finite plates can provide useful results for practical applications.

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“…obtained by F R A N C and a functional f o r m o f k ( a ) fitted to these values. T h e stress intensity factors in this table differ considerably f r o m those correspnding to an infinite plate obtained in [7]. F o r example, the values o f kl~ and k12 for a = 1 in.…”

Section: Examplementioning

confidence: 87%

“…F o r example, the values o f kl~ and k12 for a = 1 in. are, according to F R A N C , 1.30 and 3.73, respectively, while the values indicated in [7] are 1.09 and 2.46, respectively. Confidence intervals and reliability indices for crack stability are reported in Tables 6 and Table 5.…”

Section: Examplementioning

confidence: 99%

Mixed mode fracture initiation and trajectory prediction under random stresses

et al. 1990

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A method is developed for estimating (i) confidence intervals on the initial direction of crack extension and (ii) the probability of crack initiation in plane stress and plane strain problems. The method accounts for the uncertainty in applied stresses, fracture toughness, and crack geometry. It is based on classical theories of linear fracture mechanics for homogeneous isotropic materials, a computer code for deterministic fracture mechanics analysis (FRANC) and first and second order structural reliability algorithms (FORM/SORM). Several examples are presented to demonstrate the use and generality of the proposed method for probabilistic fracture mechanics analysis.

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The infinite sheet with cracked cylindrical hole under inclined tension or in-plane shear

Cited by 39 publications

References 6 publications

A comparative analysis of several nonlocal fracture criteria

A comparative analysis of several nonlocal fracture criteria

The stress intensity factor of a crack emanating from a circular hole in a finite plate by boundary collocation method

Mixed mode fracture initiation and trajectory prediction under random stresses

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