Generalised stress intensity factors for rounded notches in plates under in-plane shear loading

Lazzarin, P.; Zappalorto, Michele; Berto, Filippo

doi:10.1007/s10704-011-9613-y

Cited by 46 publications

(36 citation statements)

References 63 publications

(68 reference statements)

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“…This is the hypothesis implicitly used by Neuber without the explicit introduction of the stress intensity factors [1], but is approximately true only when the fictitiously enlarged notch root radius is sufficiently small. In the reality, for large  f , K 1 and K 2 do not match K 1 and K 2 [20,34].…”

Section: Conditionsmentioning

confidence: 96%

“…Other sets of equations [32,33] applicable to rounded V-notches of different shape do not have this property as discussed in Ref. [34]. In that paper it was also documented the stable trend of the generalized notch stress intensity factors given in Eqs (4) and (8) as a function of the distance r. The problem of the oscillating trend of Kand K  described in [33] for blunt V-notches with flanks tangent to the notch root radius is overcome by employing the set of equations reported in [21].…”

Section: Conditionsmentioning

confidence: 99%

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Crack initiation at V-notch tip subjected to in-plane mixed mode loading: An application of the fictitious notch rounding concept

Berto

2015

Frattura Ed Integrità Strutturale

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ABSTRACT. The fictitious notch rounding concept is applied for the first time to V-notches with root hole subjected to in-plane mixed mode loading. Out-of-bisector crack propagation is taken into account. The fictitious notch radius is determined as a function of the real notch radius the microstructural support length and the notch opening angle. Due to the complexity of the problem, a method based on the simple normal stress failure criterion has been used. It is combined with the maximum tangential stress criterion to determine the crack propagation angle. An analytical method based on Neuber's procedure has been developed. The method provides the values of the microstructural support factor as a function of the mode ratio and the notch opening angle. The support factor is considered to be independent of the microstructural support length. Finally, for comparison, the support factor is determined on a purely numerical basis by iterative analysis of FE models.

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Section: Conditionsmentioning

confidence: 96%

Section: Conditionsmentioning

confidence: 99%

Crack initiation at V-notch tip subjected to in-plane mixed mode loading: An application of the fictitious notch rounding concept

Berto

2015

Frattura Ed Integrità Strutturale

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“…The accuracy of the stress fields suggested has been verified by using the finite element (FE) analyses, and very good agreement has been shown. In the other paper published by Lazzarin et al [59], they investigated the notch stress intensity factors (NSIFs) for blunt notches, a part of which has been concentrated on VO-notches under mode II loading. In a study reported in Ref.…”

Section: Introductionmentioning

confidence: 99%

Combined tension–shear fracture analysis of V-notches with end holes

et al. 2015

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In the present research, two stress-based failure criteria were proposed to predict brittle fracture in components containing V-notches with end holes (VO-notches) under mixed mode I/II loading. The first criterion, called VO-MTS, was an extension of the maximum tangential stress (MTS) criterion, and the second one, called VO-MS, was developed based on the mean stress (MS) failure concept. Two different groups of critical distances were utilized in the predictions. The first group was equal to the critical distances for sharp crack, and the second one was computed by using the mode I fracture test results on notched specimens. To verify the criteria, the theoretical fracture curves were compared with numerous experimental results gathered from 108 new brittle fracture tests performed on the Brazilian disk specimens weakened by central V-notches with end holes and made of PMMA under mode I and mixed mode I/II loadings. It was found that both the criteria provide very good predictions to the experimental results for different mode mixity ratios. Also, found in this research was that the curves are almost independent of the critical distance groups, meaning that one can simply utilize the critical distances of sharp crack in both the VO-MTS and the VO-MS criteria without requiring performing mode I VO-notch fracture experiments. List of symbolsCTSN Compact-tension-shear-notch CZM Cohesive zone model d Total slit length in the VO-BD specimen D Diameter of the VO-BD specimen d c Critical distance of the MS criterion for sharp cracks d c,vo Critical distance of the MS criterion for VO-notch E Young's modulus ERNFT Effective relative notch fracture toughness FE Finite element FFM Finite fracture mechanics FNR Fictitious notch radius K vo eff Effective relative notch fracture toughness K IC Plane-strain fracture toughness of material K vo I Mode I notch stress intensity factor

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“…In other words, the opening angles of notch specimen ranges from 0 degree to 180 degrees. In previous studies, most cases mainly concentrated on the crack initiation, 5,6) crack propagation rate and fracture toughness, 7,8) the shape of notch and the radius of notch tip, 9,10) the stress intensity factor and its distribution of notch tip 11,12) by the tension or three-point bending (TPB) or four-point bending (FPB).…”

Section: Introductionmentioning

confidence: 99%

An <i>In Situ</i> Three-Point Bending Study on Pre-Notch 7075 Aluminium Alloy with Acoustic Emission

et al. 2015

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Some types of congenital and machining-induced defects remain in a material, such as cracks and crack notches generated in a series of machining processes. Such structural defects will probably lead a reduction in the material's service life, and even a huge accident. It is important to investigate the influence of crack initiation, crack growth and crack failure in relation to the downgrading and failure of materials. We have employed the acoustic emission (AE) signal to identify the 7075 Aluminium alloy (7075 Al) crack initiation and crack growth unilateral precrack, bilateral pre-cracks, unilateral V notch and bilateral V notches under three-point bending (TPB) conditions. At the same time the tip morphology of notch specimens is obtained by the opto-digital microscope. Comparing the in situ images with the AE signals, the results indicate that the AE signals can effectively predict the crack initiation, crack growth and crack rapid instability during TPB test. In addition, the geometrical shape of the specimen is relative to the intensity of AE signals. The AE signal of a no notch specimen is much higher than that of other notch specimens. The intensity of the AE signal of pre-crack specimens is lower than the V notch specimens. A pre-crack specimen causes failure more easily than the V notch specimen in the process of bending. Specimens with no notch, unilateral pre-crack, bilateral pre-cracks, unilateral V notch and bilateral V notches can be characterized by the intensity of AE signals. The position of the crack can be determined by the linear position of the AE signals.

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Generalised stress intensity factors for rounded notches in plates under in-plane shear loading

Cited by 46 publications

References 63 publications

Crack initiation at V-notch tip subjected to in-plane mixed mode loading: An application of the fictitious notch rounding concept

Crack initiation at V-notch tip subjected to in-plane mixed mode loading: An application of the fictitious notch rounding concept

Combined tension–shear fracture analysis of V-notches with end holes

An <i>In Situ</i> Three-Point Bending Study on Pre-Notch 7075 Aluminium Alloy with Acoustic Emission

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