Propagating Schallamach-type waves resemble interface cracks

Ansari, Mohammad Aaquib and Viswanathan, Koushik (2022) Propagating Schallamach-type waves resemble interface cracks. In: Physical Review E, 105 (4). ISSN 2470-0045

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Abstract

Intermittent motion, called stick-slip, is a friction instability that commonly occurs during relative sliding of two elastic solids. In adhesive polymer contacts, where elasticity and interface adhesion are strongly coupled, stick-slip arises due to the propagation of slow detachment waves at the interface. Here we analyze two distinct detachment waves moving parallel (Schallamach wave) and antiparallel (separation wave) to applied remote sliding. Both waves cause slip in the same direction, travel at speeds much lesser than any elastic wave speed, and are therefore describable using the same perturbative elastodynamic framework with identical boundary conditions. A numerical scheme is used to obtain interface stresses and velocities for arbitrary Poisson ratio, along with closed-form solutions for incompressible solids. Our calculations reveal a close correspondence between moving detachment waves and bimaterial interface cracks, including the nature of the singularity and the functional forms of the stresses. Based on this correspondence, and coupled with a fracture analogy for dynamic friction, we develop a phase diagram showing domains of possible occurrence of stick-slip via detachment waves vis-á-vis steady interface sliding. Our results have interesting implications for sliding and stick-slip phenomena at soft interfaces.

Item Type:	Journal Article
Publication:	Physical Review E
Publisher:	American Physical Society
Additional Information:	The copyright of this article belongs to the American Physical Society.
Keywords:	Adhesives; Elastic waves; Slip forming; Adhesive polymers; At-speed; Elastic solids; Elasto-dynamics; Interface adhesion; Interface crack; Interface velocity; Intermittent motion; Numerical scheme; Wavespeed; Stick-slip.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	23 May 2022 04:22
Last Modified:	23 May 2022 04:22
URI:	https://eprints.iisc.ac.in/id/eprint/72371

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