Pattern Formation During Deformation of a Confined Viscoelastic Layer: From a Viscous Liquid to a Soft Elastic Solid

TL;DR

This study investigates pattern formation in confined viscoelastic layers during tensile deformation, revealing two regimes—elastic and viscoelastic—with distinct fingering behaviors and a predictive transition model.

Contribution

It introduces a continuous model system to explore the transition from viscous to elastic behavior and provides a quantitative theory for pattern formation in viscoelastic layers.

Findings

Identified elastic and viscoelastic fingering regimes.

Developed a transition parameter predicting pattern behavior.

Achieved good agreement with theoretical models.

Abstract

We study pattern formation during tensile deformation of confined viscoelastic layers. The use of a model system (PDMS with different degrees of crosslinking) allows us to go continuously from a viscous liquid to an elastic solid. We observe two distinct regimes of fingering instabilities: a regime called "elastic" with interfacial crack propagation where the fingering wavelength only scales with the film thickness, and a bulk regime called "viscoelastic" where the fingering instability shows a Saffman-Taylor-like behavior. We find good quantitative agreement with theory in both cases and present a reduced parameter describing the transition between the two regimes and allowing to predict the observed patterns over the whole range of viscoelastic properties.