Role of the sample thickness in planar crack propagation

Barai, Pallab; Nukala, Phani K. V. V.; Alava, Mikko J.; Zapperi, Stefano

doi:10.1103/physreve.88.042411

Cited by 6 publications

(3 citation statements)

References 42 publications

(87 reference statements)

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“…Scalar models are commonly used to study the planar crack front propagation in disodered elastic media [20,21], in quasi-two dimensional geometries [22] and under antiplane shearing conditions [23]. On the other hand, recent experiments have been provided the evidence that classical shear cracks singular solutions, originally devised to account for brittle fractures, offer a quantitative excellent description of the static-to-dynamic friction transition [24].…”

Section: Introductionmentioning

confidence: 99%

Scalar model for frictional precursors dynamics

Taloni¹,

Benassi

Sandfeld

et al. 2015

Sci Rep

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Recent experiments indicate that frictional sliding occurs by nucleation of detachment fronts at the contact interface that may appear well before the onset of global sliding. This intriguing precursory activity is not accounted for by traditional friction theories but is extremely important for friction dominated geophysical phenomena as earthquakes, landslides or avalanches. Here we simulate the onset of slip of a three dimensional elastic body resting on a surface and show that experimentally observed frictional precursors depend in a complex non-universal way on the sample geometry and loading conditions. Our model satisfies Archard's law and Amontons' first and second laws, reproducing with remarkable precision the real contact area dynamics, the precursors' envelope dynamics prior to sliding, and the normal and shear internal stress distributions close to the interfacial surface. Moreover, it allows to assess which features can be attributed to the elastic equilibrium, and which are attributed to the out-of-equilibrium dynamics, suggesting that precursory activity is an intrinsically quasi-static physical process. A direct calculation of the evolution of the Coulomb stress before and during precursors nucleation shows large variations across the sample, explaining why earthquake forecasting methods based only on accumulated slip and Coulomb stress monitoring are often ineffective.

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Section: Introductionmentioning

confidence: 99%

Scalar model for frictional precursors dynamics

Taloni¹,

Benassi

Sandfeld

et al. 2015

Sci Rep

Self Cite

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“…Previous studies of fracture in thin-film geometries have shown that sample thickness affects the form of the elastic kernel in non-hierarchical systems [33]. In that case, film thickness is found to introduce a characteristic length scale, which effectively cuts off long-range elastic interactions along planar crack fronts.…”

Section: Discussionmentioning

confidence: 91%

Statistical aspects of interface adhesion and detachment of hierarchically patterned structures

Esfandiary¹,

Zaiser²,

Moretti³

2022

J. Stat. Mech.

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We introduce a three dimensional model for interface failure of hierarchical materials adhering to heterogeneous substrates. We find that the hierarchical structure induces scale invariant detachment patterns, which in the limit of low interface disorder prevent interface failure by crack propagation (‘detachment fronts’). In the opposite limit of high interface disorder, hierarchical patterns ensure enhanced work of failure as compared to reference non-hierarchical structures. While the study of hierarchical adhesion is motivated by examples of fibrous materials of biological interest, our results indicate that hierarchical patterns can be useful in engineering scenarios in view of tuning and optimizing adhesion properties.

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“…However, a direct numerical simulation reveals to be a difficult pathway to reaching definitive conclusions, as results are prone to slow corrections to scaling, and become expensive in computational power as one moves to two or three dimensions. [10] Nevertheless, those simulations could demonstrate quite clearly that the weakest link approach could not be applied at the smallest scales. Therefore, it was already clear from the start that neither approach based on prior defect statistics only nor on a more sophisticated interaction model but within a homogeneous medium description were applicable, and hence the merit of the statistical laws and the attached corresponding size effects could be questioned.…”

Section: Introductionmentioning

confidence: 98%

Cracks in random brittle solids:

Patinet

Vandembroucq

Hansen

et al. 2014

Eur. Phys. J. Spec. Top.

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Statistical models are essential to get a better understanding of the role of disorder in brittle disordered solids. Fiber bundle models play a special role as a paradigm, with a very good balance of simplicity and non-trivial effects. We introduce here a variant of the fiber bundle model where the load is transferred among the fibers through a very compliant membrane. This Soft Membrane fiber bundle mode reduces to the classical Local Load Sharing fiber bundle model in 1D. Highlighting the continuum limit of the model allows to compute an equivalent toughness for the fiber bundle and hence discuss nucleation of a critical defect. The computation of the toughness allows for drawing a simple connection with crack front propagation (depinning) models.

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Role of the sample thickness in planar crack propagation

Cited by 6 publications

References 42 publications

Scalar model for frictional precursors dynamics

Scalar model for frictional precursors dynamics

Statistical aspects of interface adhesion and detachment of hierarchically patterned structures

Cracks in random brittle solids:

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