期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 116, 期 48, 页码 23977-23983出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1906551116
关键词
friction; inertia; avalanches; fracture; stick-slip
资金
- Netherlands Organization for Scientific Research (NWO) [680-50-1520]
- Swiss National Science Foundation [200021-165509]
- Simons Foundation [454953]
Sliding at a quasi-statically loaded frictional interface can occur via macroscopic slip events, which nucleate locally before propagating as rupture fronts very similar to fracture. We introduce a microscopic model of a frictional interface that includes asperity-level disorder, elastic interaction between local slip events, and inertia. For a perfectly flat and homogeneously loaded interface, we find that slip is nucleated by avalanches of asperity detachments of extension larger than a critical radius A(c) governed by a Griffith criterion. We find that after slip, the density of asperities at a local distance to yielding x(sigma) presents a pseudogap P(x(sigma)) similar to(x(sigma))(theta), where theta is a nonuniversal exponent that depends on the statistics of the disorder. This result makes a link between friction and the plasticity of amorphous materials where a pseudogap is also present. For friction, we find that a consequence is that stick-slip is an extremely slowly decaying finite-size effect, while the slip nucleation radius A(c) diverges as a theta-dependent power law of the system size. We discuss how these predictions can be tested experimentally.
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