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Linear Elastic Fracture Mechanics Predicts the Propagation Distance of Frictional Slip

Kammer, David S. and Radiguet, Mathilde and Ampuero, Jean-Paul and Molinari, Jean-François (2015) Linear Elastic Fracture Mechanics Predicts the Propagation Distance of Frictional Slip. Tribology Letters, 57 (3). Art. No. 23. ISSN 1573-2711. doi:10.1007/s11249-014-0451-8.

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When a frictional interface is subject to a localized shear load, it is often (experimentally) observed that local slip events propagate until they arrest naturally before reaching the edge of the interface. We develop a theoretical model based on linear elastic fracture mechanics to describe the propagation of such precursory slip. The model’s prediction of precursor lengths as a function of external load is in good quantitative agreement with laboratory experiments as well as with dynamic simulations, and provides thereby evidence to recognize frictional slip as a fracture phenomenon. We show that predicted precursor lengths depend, within given uncertainty ranges, mainly on the kinetic friction coefficient, and only weakly on other interface and material parameters. By simplifying the fracture mechanics model, we also reveal sources for the observed nonlinearity in the growth of precursor lengths as a function of the applied force. The discrete nature of precursors as well as the shear tractions caused by frustrated Poisson’s expansion is found to be the dominant factors. Finally, we apply our model to a different, symmetric setup and provide a prediction of the propagation distance of frictional slip for future experiments.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Radiguet, Mathilde0000-0002-3877-9393
Ampuero, Jean-Paul0000-0002-4827-7987
Additional Information:© 2015 Springer. Received: 15 August 2014; Accepted: 6 December 2014; Published online: 23 January 2015. The research described in this article is supported by the European Research Council (ERCstg UFO-240332) and the Swiss National Science Foundation (grant PMPDP2-145448). JPA was funded by US NSF (grant EAR-1015704).
Group:Seismological Laboratory
Funding AgencyGrant Number
European Research CouncilERCstg UFO-240332
Swiss National Science Foundation (SNSF)PMPDP2-145448
Subject Keywords:Stick-slip; Friction mechanisms; Unlubricated friction; Linear elastic fracture mechanics
Issue or Number:3
Record Number:CaltechAUTHORS:20150420-095512662
Persistent URL:
Official Citation:Kammer, D., Radiguet, M., Ampuero, J.-P., & Molinari, J.-F. (2015). Linear Elastic Fracture Mechanics Predicts the Propagation Distance of Frictional Slip. Tribology Letters, 57(3), 1-10. doi: 10.1007/s11249-014-0451-8
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:56769
Deposited On:21 Apr 2015 01:44
Last Modified:10 Nov 2021 21:03

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