Collective effects at frictional interfaces

Details Collective effects at frictional interfaces Collective effects at frictional interfaces

2012-01-24

arxiv.org/abs/1201.4969v1

Tribology Letters (2012) 10.1007/s11249-012-9913-z

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1007/s11249-012-9913-z

We discuss the role of the long-range elastic interaction between the contacts inside an inhomogeneous frictional interface. The interaction produces a characteristic elastic correlation length $\lambda_c = a^2 E / k_c$ (where $a$ is the distance between the contacts, $k_c$ is the elastic constant of a contact, and $E$ is the Young modulus of the sliding body), below which the slider may be considered as a rigid body. The strong inter-contact interaction leads to a narrowing of the effective threshold distribution for contact breaking and enhances the chances for an elastic instability to appear. Above the correlation length, $r > \lambda_c$, the interaction leads to screening of local perturbations in the interface, or to appearance of collective modes --- frictional cracks propagating as solitary waves.

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