Instability in the propagation of fast cracks

Fineberg, Jay; Gross, Steven P.; Marder, Michael; Swinney, Harry L.

doi:10.1103/physrevb.45.5146

Cited by 306 publications

(172 citation statements)

References 28 publications

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“…Above v c , a single crack is no longer stable. Instead, a repetitive process of micro-branching occurs, which changes the crack dynamics : the acoustic emission from the crack increases (Boudet et al, 1996;Boudet and Ciliberto, 2000;Gross et al, 1993), the crack velocity develops strong oscillations and a pattern, which is correlated with the velocity oscillations, is observed on the fracture surface (Fineberg et al, 1992;Sharon et al, 1995;Fineberg, 1996, 1999;Livne et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

Theory of dynamic crack branching in brittle materials

2007

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The problem of dynamic symmetric branching of a tensile crack propagating in a brittle material is studied within Linear Elastic Fracture Mechanics theory. The Griffith energy criterion and the principle of local symmetry provide necessary conditions for the onset of dynamic branching instability and for the subsequent paths of the branches. The theory predicts a critical velocity for branching and a well defined shape parameterized by a branching angle and a curvature of the side branches. The model rests on a scenario of crack branching based on reasonable assumptions and on exact dynamic results for the anti-plane branching problem. Our results reproduce within a simplified 2D continuum mechanics approach the main experimental features of the branching instability of fast cracks in brittle materials.

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Section: Introductionmentioning

confidence: 99%

Theory of dynamic crack branching in brittle materials

2007

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“…This has attracted considerable discussion as experiments have shown branching at crack speeds which differ from the prediction of Yoffe. 4,8,25 Simulations and experiments however seem to agree that the mechanism of branching could be connected to the terminal crack speed. 4,26,27 In this work we will show that in our simulations the main mechanism that limits the crack speed for a free running crack is attemped branching.…”

Section: Introductionmentioning

confidence: 99%

“…4,8,25 Simulations and experiments however seem to agree that the mechanism of branching could be connected to the terminal crack speed. 4,26,27 In this work we will show that in our simulations the main mechanism that limits the crack speed for a free running crack is attemped branching. Cracks constrained on a plane reach high speeds compatible with the speeds measured in highly anisotropic materials, which we are able to explain in terms of the efficiency function introduced in our previous work.…”

Section: Introductionmentioning

confidence: 99%

“…Both simulations and experiments show that this is not the case: cracks do accelerate rapidly towards a limiting crack speed which depends on the material. 4,34,35 The solution of the puzzle is the presence of an alternative mechanism of energy dissipation due to the discreteness of matter at the microscopic level, a mechanism which is not included in the continuum elastodynamic description. Due to the discreteness, the macroscopic energy release rate G M (v, t) can be equated to the sum of two microscopic contributions:…”

Section: The Modelmentioning

confidence: 99%

“…The first concerns the terminal speed predicted by the continuum theory 1 which does not match the maximum speed measured in experiments. 2,3,4 Terminal crack speeds are usually found to vary in a range between about 90 % of the Rayleigh speed in anisotropic materials, 5,6,7 down to values as low as 33 % for more isotropic materials. 2,3,8 The Rayleigh surface wave speed v R is the terminal crack speed expected in the continuum theory; 1,9 beyond it the continuum solutions show compressive sign to what should be the crack opening stress component ahead of the crack tip.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Relation between driving energy, crack shape, and speed in brittle dynamic fracture

Parisi

Ball

2005

Phys. Rev. B

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We report results on the interrelation between driving force, roughness exponent, branching and crack speed in a finite element model. We show that for low applied loadings the crack speed reaches the values measured in the experiments, and the crack surface roughness is compatible with logarithmic scaling. At higher loadings, the crack speed increases, and the crack roughness exponent approaches the value measured at short length scales in experiments. In the case of high anisotropy, the crack speed is fully compatible with the values measured in experiments on anisotropic materials, and we are able to interpret explicitly the results in terms of the efficiency function introduced by us in our previous work [A. Parisi and R. C. Ball, Phys. Rev. B 66(16) 165432 (2002)]. The mechanism which leads to the decrease of crack speed and the appearence of the logarithmic scaling is attempted branching, whilst power law roughness develops when branches succeed in growing to macroscopic size.

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Cracks and Atoms

Holland¹,

Marder

1999

Adv. Mater.

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Atomic features are essential for understanding some materials properties. The example of brittle fracture is reviewed here, concentrating on molecular dynamics simulations of silicon. The Figure shows a visualization of an unstable crack at 8.97 % strain along (111). The choice of the potential, the implementation of non‐zero temperature, and comparison of the results with experiment are particularly emphasized.

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Instability in the propagation of fast cracks

Cited by 306 publications

References 28 publications

Theory of dynamic crack branching in brittle materials

Theory of dynamic crack branching in brittle materials

Relation between driving energy, crack shape, and speed in brittle dynamic fracture

Cracks and Atoms

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