Collective effects at frictional interfaces

Abstract

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.

References in corpus (5)

• Modeling friction on a mesoscale: Master equation for the earthquake-like model
• Statics and inertial dynamics of a ruck in a rug
• Master equation approach to friction at the mesoscale
• Slow Crack Propagation in Heterogeneous Materials
• Static Versus Dynamic Friction: The Role of Coherence

Cited by in corpus (7)

• Friction and Nonlinear Dynamics
• Current trends in the physics of nanoscale friction
• On the speed of fast and slow rupture fronts along frictional interfaces
• History-dependent friction and slow slip from time-dependent microscopic junction laws studied in a statistical framework
• Size scaling of static friction
• Propagation Length of Self-healing Slip Pulses at the Onset of Sliding: A Toy Model
• Aftershocks in a frictional earthquake model