Failure criteria for brittle elastic materials

Yosibash, Zohar; Bussiba, A.; Gilad, Ilan

doi:10.1023/b:frac.0000022244.31825.3b

Cited by 274 publications

(143 citation statements)

References 10 publications

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“…In this case, and in plane strain condition, the radius R c can be evaluated on the basis of fracture toughness, K IC , of tensile stress of the material and of Poisson's ratio, n, with the following: [21] …”

Section: Averaged Strain Energy Density Criterion (Sed)mentioning

confidence: 99%

Fracture Behavior of Cracked Giant Magnetostrictive Materials in Three‐Point Bending under Magnetic Fields: Strain Energy Density Criterion

et al. 2016

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In this paper, the fracture behavior of cracked giant magnetostrictive materials has been investigated both numerically and experimentally. Works in literature have been revisited, focusing on iron and rare-earth alloys, such as Terfenol-D. Three-point bending tests have been carried out on precracked specimens and the fracture loads have been measured in the presence and absence of a magnetic field. Recent studies on local stress fields in proximity of crack tips have shown that the Strain Energy Density (SED) can be a robust parameter in the brittle fracture assessment. Coupled-field finite element analyses have then been performed and the effect of the magnetic field on Terfenol-D fracture resistance has been discussed in terms of Energy Release Rate and averaged SED

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Section: Averaged Strain Energy Density Criterion (Sed)mentioning

confidence: 99%

Fracture Behavior of Cracked Giant Magnetostrictive Materials in Three‐Point Bending under Magnetic Fields: Strain Energy Density Criterion

et al. 2016

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“…Different from Sih's criterion, which is a pointrelated criterion, the averaged strain energy density criterion (SED) as reported in (Lazzarin and Zambardi 2001;Yosibash et al 2004) states that brittle failure occurs when the mean value of the strain energy density over a control volume (which becomes an area in two dimensional cases) is equal to a critical energy W c . The SED approach is based both on a precise definition of the control volume and the fact that the critical energy does not depend on the notch sharpness.…”

Section: Summary Of the Experimental Datamentioning

confidence: 99%

“…Several criteria have been proposed to predict fracture loads of components with notches, subjected to mode I loading (See, for example Kipp and Sih 1975;Carpinteri 1987;Knésl 1991;Nui et al 1994;Seweryn 1994;Gómez et al 2000;Lazzarin and Zambardi 2001;Atzori and Lazzarin 2001;Strandberg 2002;Atzori et al 2003Atzori et al , 2005Gogotsi 2003;Leguillon and Yosibash 2003;Yosibash et al 2004Yosibash et al , 2006Dini and Hills 2004;Taylor 2004;Lazzarin and Berto 2005a;Leguillon et al 2007).…”

Section: Introductionmentioning

confidence: 99%

Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’ concept

et al. 2007

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Two fracture criteria are proposed and applied to blunt-notched components made of brittle materials loaded under mixed mode; the former is based on the averaged strain energy density over a given control volume, the latter on the cohesive crack zone model. In both instances use of the equivalent local mode I hypothesis is made. Only two material properties are needed: the ultimate tensile strength and the fracture toughness. Numerical predictions of rupture loads from the two criteria are compared with experimental measurements from more than 160 static tests with notched beams. The samples are made of PMMA and tested at −60 • C to assure a bulk behaviour almost linear elastic up to rupture. Notch root radii range from 0.2 to 4.0 mm and load mixicity varies from pure mode I to a prevailing mode II. The good agreement between theory and experimental results adds further confidence to the proposed fracture criteria.

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“…If the notch is represented by a crack, its opening angle is equal to zero and the control volume is circular and centered on the crack tip. Being this the case, the radius R c of the control volume can be evaluated by means of the following expression (Yosibash et al, 2004):…”

Section: Averaged Strain Energy Density (Sed)mentioning

confidence: 99%

Recent Results on the Brittle Fracture of Terfenol-D Specimens under Magnetic Field

Colussi

Berto

Mori

et al. 2016

American Journal of Engineering and Applied Sciences

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Abstract:The following investigation has the purpose of describing, both experimentally and numerically, the fracture behavior of a giant magnetostrictive alloy commercially known as Terfenol-D. Single-edge precracked specimens have been analyzed via three-point bending tests, measuring fracture loads in the presence and absence of a magnetic field at various loading rates. The Strain Energy Density (SED), averaged in a finite control volume, has recently proved to be an excellent method of predicting brittle failures of cracked, U-and V-notched specimens made out of different materials. The effects of the magnetic field and of the loading rate on Terfenol-D failures have been studied, as well as discussing the ability of SED criterion to seize these effects, by performing coupled-field finite element analyses. Finally, a relationship between the size of the SED's control volume and the loading rate has been proposed and failures have then been estimated in terms of averaged SED.

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Failure criteria for brittle elastic materials

Cited by 274 publications

References 10 publications

Fracture Behavior of Cracked Giant Magnetostrictive Materials in Three‐Point Bending under Magnetic Fields: Strain Energy Density Criterion

Fracture Behavior of Cracked Giant Magnetostrictive Materials in Three‐Point Bending under Magnetic Fields: Strain Energy Density Criterion

Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’ concept

Recent Results on the Brittle Fracture of Terfenol-D Specimens under Magnetic Field

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