Nucleation of frictional sliding by coalescence of microslip

Schär, Styfen; Albertini, Gabriele; Kammer, David S.

doi:10.1016/j.ijsolstr.2021.111059

Cited by 21 publications

(27 citation statements)

References 40 publications

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“…While this allowed us to observe and study different nucleation regimes, it is a simplistic system. Natural systems are more commonly characterized by multiple and random heterogeneities created by surface roughness and material microstructures, which is expected and observed [3,19] to lead to richer dynamics during nucleation. Here, we aim to translate our findings from single weakpatches to more realistic stochastic frictional interfaces.…”

Section: Nucleation On Stochastic Interfacesmentioning

confidence: 94%

“…Similarly, for slip-weakening friction, we can use LSA to compute the universal nucleation length for any non-uniform loading condition [3,20,[22][23][24]. Uenishi and Rice [20] showed that starting from the equation for quasi-static elastic equilibrium (Eq.…”

Section: Stress Criterionmentioning

confidence: 99%

“…where q max is the maximum value of q(x), A represents the amplitude of the heterogeneity and η = λ/2 √ 2 ln 2, where λ denotes the Full Width at Half Maximum (FWHM) of the Gaussian, a surrogate for the correlation length of the profile. This setup allows us to study the nucleation process in isolation, avoiding coalescence and other potential interactions between neighboring patches [3].…”

Section: Single Patch Nucleationmentioning

confidence: 99%

“…As a result, frictional slip nucleates locally and extends to neighboring areas creating sets of slip-patches. When these patches attain their critical size, either separately or by coalescence [3], they become unstable and grow dynamically until arrest. The post-nucleation processes have been shown to be well described by Linear Elastic Fracture Mechanics (LEFM).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nucleation of frictional slip: A yielding or a fracture process?

Castellano¹,

Flavio²,

Kammer³

2022

Preprint

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Section: Nucleation On Stochastic Interfacesmentioning

confidence: 94%

Section: Stress Criterionmentioning

confidence: 99%

Section: Single Patch Nucleationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nucleation of frictional slip: A yielding or a fracture process?

Castellano¹,

Flavio²,

Kammer³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Rate-and-state models [2,[28][29][30] describe the dynamics of frictional interfaces via differential equations that capture velocity weakening. The latter is characterised by a length scale L c below which its effect is small in comparison to elastic forces [31][32][33][34][35][36]. Importantly, in the case where the stress vs sliding velocity displays a minimum σ min , this approach predicts [8,37,38] a characteristic stress σ * very close to σ min , beyond which a slip pulse of spatial extension larger than L * will invade the system.…”

Section: Introductionmentioning

confidence: 99%

Scaling theory for the statistics of slip at frictional interfaces

Geus¹,

Wyart²

2022

Preprint

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Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder, rate-and-state approaches predict a diverging nucleation length at some stress σ * , beyond which cracks can propagate. Here we argue that disorder is a relevant perturbation to this description. We justify why the distribution of slip contains two parts: a power-law corresponding to 'avalanches', and a 'narrow' distribution of system-spanning 'fracture' events. We derive novel scaling relations for avalanches, including a relation between the stress drop and the spatial extension of a slip event. We compute the cut-off length beyond which avalanches cannot be stopped by disorder, leading to a system-spanning fracture, and successfully test these predictions in a minimal model of frictional interfaces.

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Laboratory Earthquakes Simulations - Typical Events, Fault Damage, and Gouge Production

Mollon

Aubry

Schubnel

2022

Preprint

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We propose a numerical model of laboratory earthquake cycle inspired by a set of experiments performed on a triaxial apparatus on sawcut Carrara marble samples. The model couples two representations of rock matter: rock is essentially represented as an elastic continuum, except in the vicinity of the sliding interface, where a discrete representation is employed. This allows to simulate in a single framework the storage and release of strain energy in the bulk of the sample and in the loading system, the damage of rock due to sliding, and the progressive production of a granular gouge layer in the interface. After independent calibration, we find that the tribosystem spontaneously evolves towards a stick-slip sliding regime, mimicking in a satisfactory way the behaviour observed in the lab. The model offers insights on complex phenomena which are out of reach in experiments. This includes the variability in space and time of the fields of stress and effective friction along the fault, the progressive thickening of the damaged region of rock around the interface, and the build-up of a granular layer of gouge accommodating shear. We present in detail several typical sliding events, we illustrate the fault heterogeneity, and we analyse quantitatively the damage rate in the numerical samples. Some limitations of the model are pointed out, as well as ideas of future improvements, and several research directions are proposed in order to further explore the large numerical dataset produced by these simulations.

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Nucleation of frictional sliding by coalescence of microslip

Cited by 21 publications

References 40 publications

Nucleation of frictional slip: A yielding or a fracture process?

Nucleation of frictional slip: A yielding or a fracture process?

Scaling theory for the statistics of slip at frictional interfaces

Laboratory Earthquakes Simulations - Typical Events, Fault Damage, and Gouge Production

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