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Systematic Breakdown of Amontons' Law of Friction for an Elastic Object Locally Obeying Amontons' Law

Abstract

In many sliding systems consisting of solid object on a solid substrate under dry condition, the friction force does not depend on the apparent contact area and is proportional to the loading force. This behaviour is called Amontons' law and indicates that the friction coefficient, or the ratio of the friction force to the loading force, is constant. Here, however, using numerical and analytical methods, we show that Amontons' law breaks down systematically under certain conditions for an elastic object experiencing a friction force that locally obeys Amontons' law. The macroscopic static friction coefficient, which corresponds to the onset of bulk sliding of the object, decreases as pressure or system length increases. This decrease results from precursor slips before the onset of bulk sliding, and is consistent with the results of certain previous experiments. The mechanisms for these behaviours are clarified. These results will provide new insight into controlling friction.


Publication:
Scientific Reports
Pub Date:
April 2013
DOI:

10.1038/srep01586

10.48550/arXiv.1202.1716

arXiv:
arXiv:1202.1716
Bibcode:
2013NatSR...3.1586O
Keywords:
  • Condensed Matter - Soft Condensed Matter;
  • Condensed Matter - Materials Science;
  • Condensed Matter - Statistical Mechanics;
  • Physics - Classical Physics
E-Print:
8 pages, 3 figures, published in Scientific Reports 3 1586 (2013). http://www.nature.com/srep/2013/130402/srep01586/full/srep01586.html
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