A failure criterion for brittle elastic materials under mixed-mode loading

Yosibash, Zohar; Priel, Esther; Leguillon, Dominique

doi:10.1007/s10704-006-0083-6

Cited by 139 publications

(114 citation statements)

References 22 publications

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“…According to Leguillon et al [7,11], two conditions can be imposed on stress components and on strain energy and both are necessary for fracture. They have to be simultaneously satisfied to reach a sufficient condition for fracture.…”

Section: Finite Fracture Mechanics: Leguillon Et Al Formulationmentioning

confidence: 99%

“…The FFM criteria have been recently extended to the mixed Mode I/II and Mode II loading conditions [9][10][11]. Instead, considering the SED criterion, a new formulation for estimating the control radius under in-plane shear loading is proposed here and is compared with results obtained from the expression which is valid for Mode I. Lazzarin and Zambardi [5] proposed the local SED criterion which is based on the strain energy density averaged over a control volume surrounding the notch tip.…”

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confidence: 99%

“…Additionally, a new method for average SED calculations for cracks under mixed mode I+II loading by adopting very coarse meshes has been recently proposed [15,16] which is based on the maximum stresses obtained from FE analyses. In this paper the analytical formulation of the three compared criteria [5,[9][10][11] is introduced to obtain the critical Mode II Notch Stress Intensity Factor using different approaches. After all, the mentioned criteria are applied to sharp V-notched plates subjected to in-plane shear loading, in order to investigate the ability of each method to analysis the fracture behaviour of brittle materials.…”

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confidence: 99%

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Campagnolo

Razavi

Peron

et al. 2017

Frattura Ed Integrità Strutturale

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ABSTRACT. Fracture behaviour of V-notched specimens is assessed using two energy based criteria namely the averaged strain energy density (SED) and Finite Fracture Mechanics (FFM). Two different formulations of FFM criterion are considered for fracture analysis. A new formulation for calculation of the control radius Rc under pure Mode II loading is presented and used for prediction of fracture behaviour. The critical Notch Stress Intensity Factor (NSIF) at failure under Mode II loading condition can be expressed as a function of notch opening angle. Different formulations of NSIFs are derived using the three criteria and the results are compared in the case of sharp V-notched brittle components under in-plane shear loading, in order to investigate the ability of each method for the fracture assessment. For this purpose, a bulk of experimental data taken from the literature is employed for the comparison among the mentioned criteria. KEYWORDS.Fracture strength; Sharp V-notch; mode II fracture; Notch stress intensity factor; Strain energy density.

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Section: Finite Fracture Mechanics: Leguillon Et Al Formulationmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Campagnolo

Razavi

Peron

et al. 2017

Frattura Ed Integrità Strutturale

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“…Under mixed mode (I+II) loading, the problem is more complex, even for brittle or quasi-brittle materials, and few failure criteria have been proposed for V-notches (Seweryn & Lucaszewicz, 2002;Yosibash et al, 2006) giving more or less accurate predictions.…”

Section: Introductionmentioning

confidence: 99%

Notched plates in mixed mode loading (I+II): a review based on the local strain energy density and the cohesive zone model

Berto¹,

Gómez²

2017

10.5267/j.esm

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Two procedures to evaluate fracture resistance of notched components are proposed in this contribution: the Strain Energy Density (SED) over a control volume and the Cohesive Zone Model (CZM). With the aim to simplify the application of the two fracture criteria, the concept of the 'equivalent local mode I' is presented. The control volume of the SED criterion and the cohesive crack of the CZM, have been rotated along the notch edge and centered with respect to the point where the elastic principal stress is maximum. Numerical predictions are compared with experimental results from U and V shaped notches under three point bending with notch root radius ranging from 0.2 to 4.0 mm. In parallel the loading conditions vary, from pure mode I to a prevailing mode II. All specimens were made of PMMA and tested at -60°C. The good agreement between theory and experimental results adds further confidence to the proposed fracture criteria.

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“…Therefore, proposed fracture criteria are based on critical values of some macroscopic stresses [1], critical virtual cracks [2][3][4][5], non-local averaged parameters [6], stress intensity factors [7][8][9][10][11][12], notch rounding approach [13,14], strain energy density (SED) [15][16][17][18][19][20][21], J-integral [22,23] and Cohesive Zone Models [24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Fracture behaviour of notched round bars made of PMMA subjected to torsion at −60°C

Berto

Cendón

Lazzarin

et al. 2013

Engineering Fracture Mechanics

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This paper presents seventy new experimental results from PMMA notched specimens tested under torsion at -60 °C. The notch root radius ranges from 0.025 to 7.0 mm. At this temperature the non-linear effects previously observed on specimens of the same material tested at room temperature strongly reduce.The averaged value of the strain energy density over a control volume is used to assess the critical loads to failure. The radius of the control volume and the critical strain energy density are evaluated a priori by using in combination the mode III critical stress intensity factor from cracked-like specimens and the critical stress to failure detected from semicircular notches with a large notch root radius.

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A failure criterion for brittle elastic materials under mixed-mode loading

Cited by 139 publications

References 22 publications

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Notched plates in mixed mode loading (I+II): a review based on the local strain energy density and the cohesive zone model

Fracture behaviour of notched round bars made of PMMA subjected to torsion at −60°C

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