Three-dimensional interaction between a crack front and particles

Haddi, Abdelkader; Weichert, Dieter

doi:10.1002/(sici)1097-0207(19980830)42:8<1463::aid-nme429>3.0.co;2-1

Cited by 10 publications

(1 citation statement)

References 30 publications

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“…Analytical approaches have been developed to calculate the near-tip stress field, stress intensity factors (SIFs) and the configurational force for a crack in the vicinity of an inclusion (Atkinson 1972;Erdogan et al 1974;Faber and Evans 1983a;Gdoutos 1985;Han and Chen 2000;Hwu et al 1995;Li and Lv 2017;Li and Yang 2004;Rubinstein 1991;Sendeckyj 1974;Tamate 1968;Zhou and Li 2007;Zhou et al 2011). Simulations using finite element method (FEM) have been performed to evaluate the SIF and energy release rate (ERR) for a stationary crack interacting with an inclusion (Haddi and Weichert 1998;Li and Chudnovsky 1993a;Li and Chudnovsky 1993b;Lipetzky and Knesl 1995;Lipetzky and Schmauder 1994). In order to predict the trajectory and associated ERR of a propagating crack, various numerical techniques have been developed and applied, including boundary element method (BEM) (Bush 1997; Kitey et al 2006;Knight et al 2002;Lei et al 2005;Wang et al 1998;Wang and Chau 2001), extended finite element method (XFEM) (Nielsen et al 2012;Wang et al 2018; Wang et al 2012;Wang et al 2015), element-free Galerkin (EFG) method (Muthu et al 2013;Muthu et al 2016) and cohesive zone type models (CZM) (Ponnusami et al 2015).…”

Section: Introductionmentioning

confidence: 99%

Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Guo

Gao

2020

Int J Fract

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The interaction between cracks and inclusions plays important roles in the fracture behavior of particulate composites. It is commonly recognized that an inclusion stiffer than the matrix tends to deflect an approaching crack away while a softer inclusion attracts the crack. Here, we demonstrate by analytical modeling and numerical simulations that the crack-inclusion interaction can be tuned by an applied T-stress.Under a sufficiently large compressive applied T-stress, cracks can be attracted to stiffer inclusions while repelled by softer ones, thus reversing the conventional trend. Potential applications of this work include composite electrodes in lithium-ion batteries and hydraulic fracturing.

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Section: Introductionmentioning

confidence: 99%

Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Guo

Gao

2020

Int J Fract

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Modeling of crack growth through particulate clusters in brittle matrix by symmetric-Galerkin boundary element method

et al. 2006

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The interaction of a crack with perfectly bonded rigid isolated inclusions and clusters of inclusions in a brittle matrix is investigated using numerical simulations. Of particular interest is the role inclusions play on crack paths, stress intensity factors (SIFs) and the energy release rates with potential implications to the fracture behavior of particulate composites. The effects of particle size and eccentricity relative to the initial crack orientation are examined first as a precursor to the study of particle clusters. Simulations are accomplished using a new quasi-static crack-growth prediction tool based on the symmetric-Galerkin boundary element method, a modified quarter-point crack-tip element, the displacement correlation technique for evaluating SIFs, and the maximum principal stress criterion for crack-growth direction prediction. The numerical simulations demonstrate a complex interplay of crack-tip shielding and amplification mechanisms leading to significant toughening of the material.

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Dynamic effects of inclusions and microcracks on a main crack

et al. 2010

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The shielding and amplification effects of multiple inclusions and microcracks on the tip or the growth path of a main crack under dynamic loading are investigated using numerical simulations. The simulations employ a combined numerical tool based on the time-domain boundary element method together with the sub-region technique for multi-regions, the maximum circumferential stress criterion for crack-growth direction and discrete modelling for the crack propagation. New elements of constant length are added to the moving crack-tip to simulate the growth at an adaptable time-step according to the crack propagation criterion. Of particular interest is the study of the effects of the sizes and positions of inclusions and microcracks and the material combinations on the dynamic stress intensity factors and the crack growth path. The numerical results demonstrate the crack-tip shielding and amplification effects of inclusions and micro-cracks.

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Three-dimensional interaction between a crack front and particles

Cited by 10 publications

References 30 publications

Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Modeling of crack growth through particulate clusters in brittle matrix by symmetric-Galerkin boundary element method

Dynamic effects of inclusions and microcracks on a main crack

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