Detachment of adhesive normal contact between a rigid circular flat punch and a viscoelastic half-space

TL;DR

This paper introduces a rheology-based approach to model crack propagation in viscoelastic materials during adhesive contact detachment, showing acceleration and instantaneous separation at critical points.

Contribution

It presents a novel method to describe crack propagation in viscoelastic materials without velocity-dependent separation energy, applicable to various shapes and loading conditions.

Findings

Crack propagation accelerates until detachment.

Detachment occurs instantaneously at a critical configuration.

Method applicable to arbitrary shapes and loading histories.

Abstract

We propose an approach to describe the propagation of a crack (or boundary of an adhesive contact) in a viscoelastic material which is only based on the consideration of the rheology of the material without the introduction of any additional dependency of the separation energy on the velocity of crack propagation. The suggested idea is illustrated with an example of kinetics of detachment of a flat-ended indenter from a viscoelastic medium. It is shown that under the given assumptions the crack propagation is accelerating until the critical configuration is reached and the contact detaches instantaneously. The suggested criterion can be basically applied to arbitrary shapes and arbitrary loading histories.