Influence of surface tension in the surfactant-driven fracture of closely-packed particulate monolayers.


Journal Article

A phase-field model is used to capture the surfactant-driven formation of fracture patterns in particulate monolayers. The model is intended for the regime of closely-packed systems in which the mechanical response of the monolayer can be approximated as that of a linearly elastic solid. The model approximates the loss in tensile strength of the monolayer with increasing surfactant concentration through the evolution of a damage field. Initial-boundary value problems are constructed and spatially discretized with finite element approximations to the displacement and surfactant damage fields. A comparison between model-based simulations and existing experimental observations indicates a qualitative match in both the fracture patterns and temporal scaling of the fracture process. The importance of surface tension differences is quantified by means of a dimensionless parameter, revealing thresholds that separate different regimes of fracture. These findings are supported by newly performed experiments that validate the model and demonstrate the strong sensitivity of the fracture pattern to differences in surface tension.

Full Text

Duke Authors

Cited Authors

  • Peco, C; Chen, W; Liu, Y; Bandi, MM; Dolbow, JE; Fried, E

Published Date

  • September 2017

Published In

Volume / Issue

  • 13 / 35

Start / End Page

  • 5832 - 5841

PubMed ID

  • 28812091

Pubmed Central ID

  • 28812091

Electronic International Standard Serial Number (EISSN)

  • 1744-6848

International Standard Serial Number (ISSN)

  • 1744-683X

Digital Object Identifier (DOI)

  • 10.1039/c7sm01245d


  • eng