Michio Otsuki, Hiroshi Matsukawa
We show that the Amontons' law of friction breaks down in the elastic object
which has the friction force obeying the Amontons' law locally. By the finite
element method, it is shown that the bulk static friction coefficient decreases
with increasing pressure and system length. It also depends on the apparent
contact area. These behaviors indicate the breakdown of the Amontons' law and
result from the local slip before the onset of bulk sliding. These results are
consistent with experiments. An effective one-dimensional model well explains
these behaviors analytically.
View original:
http://arxiv.org/abs/1202.1716
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