On the use of the extended finite element and incremental methods in brittle fracture assessment of key-hole notched polystyrene specimens under mixed mode I/II loading with negative mode I contributions

Majidi, H.R.; Ayatollahi, M.R.; Torabi, A.R.

doi:10.1007/s00419-017-1329-7

Cited by 21 publications

(10 citation statements)

References 55 publications

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“…Some of them are energy based, like the strain energy density (SED) (Berto et al, 2012a(Berto et al, , 2017Lazzarin and Berto, 2005;Lazzarin and Zambardi, 2001;Torabi and Berto, 2014) and the J-integral (Barati et al, 2010;Berto and Lazzarin, 2007;Livieri, 2003;Majidi et al, 2018aMajidi et al, , 2018bMatvienko and Morozov, 2004) criteria, and some others are stress based, like the theory of critical distances (TCDs) (Susmel and Taylor, 2008;Taylor, 2006;Taylor et al, 2004), the point stress (PS) and the mean stress (MS) criteria Abedinasab, 2015a, 2015b;Torabi and Alaei, 2016;Torabi and Pirhadi, 2015). Moreover, the two well-known fracture models, namely the finite fracture mechanics (Carpinteri et al, 2008;Leguillon, 2002;Yosibash et al, 2004) and the cohesive zone model (Cendon et al, 2015;Gomez and Elices, 2003;Gomez et al, 2000Gomez et al, , 2006Majidi et al, 2017) are classified as combined stress energy-based models.…”

Section: Introductionmentioning

confidence: 99%

Energy-based assessment of brittle fracture in VO-notched polymer specimens under combined compression-shear loading conditions

Majidi

Ayatollahi

Torabi

et al. 2018

International Journal of Damage Mechanics

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This research presents some experimental, numerical, and theoretical results on brittle fracture of disk-type test specimens weakened by V-notches with end-holes under mixed mode I/II loading with negative mode I contributions. First, 54 fracture tests are conducted on VO-notched Brazilian disk specimens made of the general-purpose polystyrene under mixed mode I/II loading with negative mode I contributions. Then, two energy-based brittle fracture criteria, namely the averaged strain energy density and averaged strain energy density based on the equivalent factor concept are proposed to predict the experimentally obtained fracture loads of the tested general-purpose polystyrene specimens. Additionally, the fracture initiation angles of the tested VO-notched Brazilian disk specimens are predicted by using averaged strain energy density criterion. The finite element analyses, as well as the experimental observations, show that although brittle fracture in the specimens under mixed mode I/II loading takes place from the applied load side of the notch border by local tensile stresses, the notch bisector line and the other sides of the notch border sustain compressive stresses. In fact, this phenomenon states the concept of mixed mode I/II loading with negative mode I contributions. Finally, it is shown that good agreement exists between the experimental results and the theoretical predictions of the two energy-based fracture criteria.

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Section: Introductionmentioning

confidence: 99%

Energy-based assessment of brittle fracture in VO-notched polymer specimens under combined compression-shear loading conditions

Majidi

Ayatollahi

Torabi

et al. 2018

International Journal of Damage Mechanics

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“…In the last decades, different studies from the literature have increased their attention to the influence of notch shapes on the global fracturing response of composite specimens [31,[59][60][61][62][63][64][65][66][67][68][69][70][71][72], while applying incremental methods and advanced computational methods to follow multi-directional fractures [31,59,[61][62][63][64][65]68,71]. As far as OPA-based materials is concerned, the recent work by Dimitri et al [31] applied the XFEM as computational approach to model semi-circular bending (SCB) tests, compared to the experimental evidences by Barpi et al [36] and Valente et al [37].…”

Section: Introductionmentioning

confidence: 99%

Theoretical and computational investigation of the fracturing behavior of anisotropic geomaterials

Dimitri

Rinaldi

Trullo

et al. 2022

Continuum Mech. Thermodyn.

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The fracturing process in geomaterials is studied to characterize a potential host rock for radioactive waste, such as the kaolinite-rich Opalinus Clay formation. Because of its sedimentary genesis, this rock can be considered as a transversely isotropic geomaterial. A semi-circular bending test is here modeled based on the eXtended Finite Element Method (XFEM), to check for the formation and propagation of cracks in the rock, with a particular focus on the effect of notch dimensions and scale effects on the fracturing response of the specimen in terms of peak load. Starting with the XFEM-based results, a novel analytical formulation is also proposed to approximate the response of the material in terms of load-crack mouth opening displacement. The proposed formulation is also capable to provide a reliable estimate of the peak value and time history response, compared to some experimental predictions from literature, starting from a predefined value of initial notch depth, which could represent a useful theoretical tool for design purposes.

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“…Around the fracture front tip, the stress singularity happens for local theory. To model fracture and its evolution, various local theories have been proposed, for example, finite element method (FEM) [4], extended finite element method [5], phase-field fracture method [6][7][8], cracking particle method [9,10], extended finite element method [11], numerical manifold method [12], extended isogeometric analysis (XIGA) for three-dimensional crack [13], meshfree methods [14][15][16]. Another approach for fracture modeling is the nonlocal method.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method

Ren

Zhuang

Öterkuş

et al. 2021

Engineering with Computers

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The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual method based on nonlocal operator method for the derivation of nonlocal forms for elasticity, thin plate, gradient elasticity, electro-magneto-elasticity and phase-field fracture method. The nonlocal governing equations are expressed as an integral form on support and dual-support. The first example shows that the nonlocal elasticity has the same form as dual-horizon non-ordinary state-based peridynamics. The derivation is simple and general and it can convert efficiently many local physical models into their corresponding nonlocal forms. In addition, a criterion based on the instability of the nonlocal gradient is proposed for the fracture modelling in linear elasticity. Several numerical examples are presented to validate nonlocal elasticity and the nonlocal thin plate.

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On the use of the extended finite element and incremental methods in brittle fracture assessment of key-hole notched polystyrene specimens under mixed mode I/II loading with negative mode I contributions

Cited by 21 publications

References 55 publications

Energy-based assessment of brittle fracture in VO-notched polymer specimens under combined compression-shear loading conditions

Energy-based assessment of brittle fracture in VO-notched polymer specimens under combined compression-shear loading conditions

Theoretical and computational investigation of the fracturing behavior of anisotropic geomaterials

Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method

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