Presentation Information
[3E01]Toy model approach to slow-to-fast slip transitions without friction laws
*Ken Nakano1 (1. Yokohama National University)
This study theoretically investigates instabilities induced by solid viscoelasticity using a minimal toy model without friction laws: a two-degree-of-freedom sliding system consisting of a frictionless rigid probe and a Kelvin-Voigt viscoelastic 1D foundation. Taking advantage of its simplicity, we discuss the mechanisms generating various system dynamics based on stability analysis and numerical simulation. As a result, surprisingly, even though the sliding system does not employ static friction, it exhibits intermittent oscillation resembling the typical stick-slip instability. It comprises two slip states for the contact between the probe and the viscoelastic foundation: slow-slip and fast-slip states. The key to slow-to-fast slip transitions is the synchronization between horizontal and vertical motions of the probe under specific conditions: middle speed and low stiffness conditions. Probe indentation due to normal loading creates a slow-slip state. In contrast, probe lift motion due to solid viscoelasticity makes the system unstable, finally creating a fast-slip state.