On the most dangerous V-notch

Carpinteri, Alberto; Cornetti, Pietro; Pugno, Nicola; Sapora, Alberto Giuseppe

doi:10.1016/j.ijsolstr.2009.11.017

Cited by 29 publications

(13 citation statements)

References 29 publications

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“…More recent is the discussion on the effect of the second order terms, which play a role analogous to that shown by T-stress in the crack case (Ayatollahi and Aliha 2009;Ayatollahi and Dehghany 2010;Ayatollahi and Nejati 2011), as well as on the conditions characterizing the most dangerous V-notch (Carpinteri et al 2010).…”

Section: Introductionmentioning

confidence: 99%

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

2011

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The Notch Stress Intensity Factors (NSIFs) quantify the intensities of the asymptotic linear elastic stress distributions of sharp (zero radius) V-shaped notches. When the notch tip radius is different from zero, the singular sharp-notch field diverges from the rounded-notch solution in the close neighborhood of the notch tip. Nevertheless the NSIFs might continue to be parameters governing fracture if the notch root radius is small enough. Otherwise they can be seen simply as stress field parameters useful in quantifying the stress distributions ahead of the specific notch. Taking advantage of some analytical formulations which are able to describe stress distributions ahead of parabolic, hyperbolic and V-shaped notches with end holes, the paper discusses the form and the significance of the NSIFs with reference to in-plane shear loading, considering explicitly the role played by the notch opening angle and the notch tip radius. These parameters quantify the stress redistribution due to the root radius with respect to the sharp notch case to which they should naturally tend for decreasing values of the notch radius

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Section: Introductionmentioning

confidence: 99%

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

2011

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“…Many experimental results [1][2][3][4] concerning three-point bending (TPB) and tensile tests on Vnotched brittle or quasi-brittle material specimens, show that the failure load does not increase monotonically as the notch opening angle ω increases, but it has a minimum in correspondence of a critical angle ω c . The problem of determining ω c was investigated in [5] to what concerns a semi-infinite edge V-notched slab and it is here extended to a center Vnotched infinite slab under remote tensile load, when the notch is subjected to mode I loading. Four different criteria based on a discrete crack advancement [2,[6][7][8] are taken into account.…”

Section: Introductionmentioning

confidence: 99%

The problem of the critical angle for edge and center V-notched structures

Carpinteri¹,

Cornetti²,

Pugno³

et al. 2011

European Journal of Mechanics - A/Solids

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In the present paper, the problem of detecting the critical notch angle, i.e. the angle providing the minimum failure load, for brittle or quasi-brittle structures containing either edge or center V-notches is investigated. The expression of the generalized fracture toughness is obtained according to Finite Fracture Mechanics. It is shown that a critical angle is always present: its value depends, through the brittleness number, on both material and geometric characteristics. Thus, the crack is not the most dangerous configuration. The result is supported by experimental results presented in the Literature.

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“…Recently, Carpinteri et al [37] showed that in sharp V-notches, an angle exists providing a minimum failure load. On the other hand, it has been found in this paper that, in U-notches, where the notch angle is zero and the singularity does not exist on the notch tip, a notch root radius different from zero exists, providing a minimum failure load.…”

Section: Introductionmentioning

confidence: 99%

A notch root radius to attain minimum fracture loads in plates weakened by U-notches under Mode I loading

Barati

Alizadeh

2012

Scientia Iranica

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The paper deals with the minimum value of a fracture load, with respect to the notch root radius, in plates weakened by U-notches under Mode I loading. It has been found that the fracture load has a minimum value at a critical value of the notch root radius (ρ), using four criteria, namely, Mean Stress (MS), maximum tangent stress or Point Stress (PS), Critical Strain-Energy (CSE) and Averaged StrainEnergy Density (ASED). Using a characteristic length (l ch ), which is a function of material properties, the results showed that the dimensionless critical notch root radius (ρ/l ch ) cr depended on w/a ratio (the specimen width to the notch depth), Poisson ratio, and loading condition (tensile or bending loading) under Mode I loading. In other words, according to these criteria, a notch root radius different from zero exists, providing a minimum fracture load. Therefore, a crack is not more dangerous rather than a U-notch under Mode I loading. This critical notch root radius is important for a quasi-brittle material, but may not be significant for brittle ones in practical engineering situations. Good agreement was found between theoretical predictions and experimental results on Al356-T6.

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On the most dangerous V-notch

Cited by 29 publications

References 29 publications

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

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

The problem of the critical angle for edge and center V-notched structures

A notch root radius to attain minimum fracture loads in plates weakened by U-notches under Mode I loading

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