Analysis of a model for void growth and coalescence ahead of a moving crack tip

Andersson, Hans

doi:10.1016/0022-5096(77)90024-2

Cited by 181 publications

(61 citation statements)

References 7 publications

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“…Owing to this constraint, the stress triaxiality within the band generally increases sharply following localization, thereby promoting further void growth and the onset of coalescence. This feature was captured in an early model of void growth within a normal localization band by Andersson [51]. Models with periodicity conditions imposed on all faces of the representative void-containing cell generally take the stress triaxiality within the cell to be constant throughout the entire deformation history and therefore do not reflect the influence of enhanced triaxiality that accompanies localization.…”

Section: The Competition Between Macroscopic Localization and Void Comentioning

confidence: 99%

On localization and void coalescence as a precursor to ductile fracture

Tekoğlu

Hutchinson

Pardoen

2015

Phil. Trans. R. Soc. A.

133

110

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Two modes of plastic flow localization commonly occur in the ductile fracture of structural metals undergoing damage and failure by the mechanism involving void nucleation, growth and coalescence. The first mode consists of a macroscopic localization, usually linked to the softening effect of void nucleation and growth, in either a normal band or a shear band where the thickness of the band is comparable to void spacing. The second mode is coalescence with plastic strain localizing to the ligaments between voids by an internal necking process. The ductility of a material is tied to the strain at macroscopic localization, as this marks the limit of uniform straining at the macroscopic scale. The question addressed is whether macroscopic localization occurs prior to void coalescence or whether the two occur simultaneously. The relation between these two modes of localization is studied quantitatively in this paper using a three-dimensional elastic-plastic computational model representing a doubly periodic array of voids within a band confined between two semi-infinite outer blocks of the same material but without voids. At sufficiently high stress triaxiality, a clear separation exists between the two modes of localization. At lower stress triaxialities, the model predicts that the onset of macroscopic localization and coalescence occur simultaneously.

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Section: The Competition Between Macroscopic Localization and Void Comentioning

confidence: 99%

On localization and void coalescence as a precursor to ductile fracture

Tekoğlu

Hutchinson

Pardoen

2015

Phil. Trans. R. Soc. A.

133

110

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“…It was proposed, from the work of Rice et al [2] and Anderson [3], that it is the plastic flow at the crack tip that dictates the crack path. The notion that the crack path is governed by the plastic behaviour of the crack tip is supported by many workers.…”

Section: Introductionmentioning

confidence: 99%

Crack paths under mixed mode loading

Yates

Zanganeh

Tomlinson

et al. 2008

Engineering Fracture Mechanics

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“…10 ~), or a unstable flow begins to take place, the strains at this state is regarded as limi~L strains in FLDs. On the other hand, the numerical analyses by Anderson [18] and Tvergaard [19] indicated that the void fraction is at fr=0.25 when fracture occurs. Based on theses computational results, a ductile fracture crilLerion expressed in void fraction was also introduced into our code, and the fracture strains of the AI-Mg alloy sheets were calculated.…”

Section: Limit Strain and Fracture Strainmentioning

confidence: 97%

Effect of void nucleation and growth on forming limit diagrams of textured aluminum alloy sheets

Jonas

Ishikawa

1998

Metals and Materials

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A numerical code has been developed to calculate Forming Limit Diagrams (FLDs) of textured aluminum alloy sheets. This code is based on the Marciniak-Kuczynski (M-K) model, but allows for void nucleation and growth so that limit strains and fracture strains can be predicted. The strain induced void nucleation model was employed together with the Cocks and Ashby's void growth model. The influences of initial texture, texture evolution, and void nucleation and growth during deformation on the FLDs of an A1-Mg alloy were all investigated. Satisfactory agreement was obtained between the predictions and measured data. It was also shown that the introduction of void damage into the old M-K model can lead to more reasonable and accurate predictions.

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Analysis of a model for void growth and coalescence ahead of a moving crack tip

Cited by 181 publications

References 7 publications

On localization and void coalescence as a precursor to ductile fracture

On localization and void coalescence as a precursor to ductile fracture

Crack paths under mixed mode loading

Effect of void nucleation and growth on forming limit diagrams of textured aluminum alloy sheets

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