Stochastic properties of static friction

Albertini, Gabriele; Karrer, Simon; Grigoriu, Mircea; Kammer, David S.

doi:10.1016/j.jmps.2020.104242

Cited by 27 publications

(35 citation statements)

References 60 publications

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“…where only 𝐴𝐴 𝐴𝐴 is involved. This observation is supported by recent numerical simulations of crack nucleation along interfaces with stochastic distributions of 𝐴𝐴 𝐴𝐴p and homogeneous 𝐴𝐴 𝐴𝐴 (Albertini et al, 2020), except in rare situations where the asperity scale interacts with the nucleation length (Schär et al, 2021). One may LEBIHAIN ET AL.…”

Section: Dynamic Simulations Of Earthquake Nucleation Along Heterogeneous Faultssupporting

confidence: 52%

“…We thus focus on the stability behavior of an idealized fault along which both the peak

τ_{normalp}

and the residual friction

τ_{normalr}

are uniform (Figure 2a). To make any parallel to Mode I fracture easier and without any loss of generality, we set

τ_{normalr} (x) = 0

(Albertini et al., 2020). Meanwhile, the weakening rate

W

may vary from several orders of magnitude along the fault.…”

Section: Methodsmentioning

confidence: 99%

“…Meanwhile, the weakening rate 𝐴𝐴 𝐴𝐴 may vary from several orders of magnitude along the fault. Following the procedure of Albertini et al, 2020 ( [𝑊𝑊min, 𝑊𝑊max] . We set the nucleation length of the reference homogeneous material with uniform 𝐴𝐴 ⟨𝑊𝑊 ⟩ as the adimensionalizing length of the system 𝐴𝐴 𝐴𝐴 hom c ≃ 1.158𝜇𝜇 * ∕⟨𝑊𝑊 ⟩ (Uenishi & Rice, 2003).…”

Section: Measuring the Nucleation Length In Presence Of Weakening Rate Variations: A Model Fault Approachmentioning

confidence: 99%

“…The transition happens when a region of critical size

L_{normalc}

of the fault is slipping. The knowledge of this nucleation length proves crucial since it allows to predict both the loading levels and the position at which the earthquake motion starts (Albertini et al., 2020; Ampuero et al., 2006; Uenishi & Rice, 2003).…”

Section: Introductionmentioning

confidence: 99%

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Earthquake Nucleation Along Faults With Heterogeneous Weakening Rate

Lebihain

Roch

Violay

et al. 2021

Geophysical Research Letters

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suggest one possible scenario where the onset of fault motion is characterized by the transition from quasistatic slip growth to dynamic rupture propagation (Passelègue et al., 2016;Svetlizky et al., 2016). The transition happens when a region of critical size 𝐴𝐴 𝐴𝐴c of the fault is slipping. The knowledge of this nucleation length proves crucial since it allows to predict both the loading levels and the position at which the earthquake motion starts (Albertini et al., 2020;Ampuero et al., 2006;Uenishi & Rice, 2003). Previous theoretical works linked𝐴𝐴 𝐴𝐴c to the frictional properties of the fault for linear slip-dependent (Campil-

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Section: Dynamic Simulations Of Earthquake Nucleation Along Heterogeneous Faultssupporting

confidence: 52%

“…We thus focus on the stability behavior of an idealized fault along which both the peak

τ_{normalp}

and the residual friction

τ_{normalr}

are uniform (Figure 2a). To make any parallel to Mode I fracture easier and without any loss of generality, we set

τ_{normalr} (x) = 0

(Albertini et al., 2020). Meanwhile, the weakening rate

W

may vary from several orders of magnitude along the fault.…”

Section: Methodsmentioning

confidence: 99%

Section: Measuring the Nucleation Length In Presence Of Weakening Rate Variations: A Model Fault Approachmentioning

confidence: 99%

“…The transition happens when a region of critical size

L_{normalc}

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Earthquake Nucleation Along Faults With Heterogeneous Weakening Rate

Lebihain

Roch

Violay

et al. 2021

Geophysical Research Letters

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show abstract

“…The accurate calculation of friction force is very complicated due to various factors, such as surface roughness, temperature, humidity, slip-weakening behavior [ 1 , 2 ], etc. Additionally, there are particle mechanical force, electrostatic force, van der Waals force, capillary force, etc.…”

Section: Introductionmentioning

confidence: 99%

A Static Friction Model for Unlubricated Contact of Random Rough Surfaces at Micro/Nano Scale

Zhu

2021

Micromachines

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A novel static friction model for the unlubricated contact of random rough surfaces at micro/nano scale is presented. This model is based on the energy dissipation mechanism that states that changes in the potential of the surfaces in contact lead to friction. Furthermore, it employs the statistical theory of two nominally flat rough surfaces in contact, which assumes that the contact between the equivalent rough peaks and the rigid flat plane satisfies the condition of interfacial friction. Additionally, it proposes a statistical coefficient of positional correlation that represents the contact situation between the equivalent rough surface and the rigid plane. Finally, this model is compared with the static friction model established by Kogut and Etsion (KE model). The results of the proposed model agree well with those of the KE model in the fully elastic contact zone. For the calculation of dry static friction of rough surfaces in contact, previous models have mainly been based on classical contact mechanics; however, this model introduces the potential barrier theory and statistics to address this and provides a new way to calculate unlubricated friction for rough surfaces in contact.

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Control of Static Friction by Designing Grooves on Friction Surface

Iwashita,

Matsukawa,

Otsuki

2024

Tribol Lett

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This study numerically investigated the friction of viscoelastic objects with grooves. A 3D viscoelastic block with grooves on a rigid substrate is slowly pushed from the lateral side under uniform pressure on the top surface. The local friction force at the interface between the block and the substrate obeys Amontons’ law. Numerical results obtained using the finite element method reveal that the static friction coefficient decreases with increasing groove width and depth. The propagation of the precursor slip is observed before bulk sliding. Furthermore, bulk sliding occurs when the area of slow precursor slip reaches a critical value, which decreases with increasing groove size. A theoretical analysis based on a simplified model reveals that the static friction coefficient is related to the critical area of the precursor, which is determined by the instability of the precursor. A scaling law for the critical area is theoretically predicted, and it indicates that the decrease in the effective viscosity due to the formation of the grooves leads to a decrease in the static friction coefficient. The validity of the theoretical prediction is numerically confirmed. Graphical Abstract

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Stochastic properties of static friction

Cited by 27 publications

References 60 publications

Earthquake Nucleation Along Faults With Heterogeneous Weakening Rate

Earthquake Nucleation Along Faults With Heterogeneous Weakening Rate

A Static Friction Model for Unlubricated Contact of Random Rough Surfaces at Micro/Nano Scale

Control of Static Friction by Designing Grooves on Friction Surface

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