Large deformation adhesive contact mechanics of circular membranes with a flat rigid substrate

Rong Long, Kenneth R. Shull, Chung Yuen Hui*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

We study the large deformation mechanics of contact and adhesion between an inflated hyperelastic membrane and a rigid substrate. The initial configuration of the membrane is flat and circular and is clamped at the edge. Two types of friction conditions between the membrane and the substrate are considered: frictionless and no-slip contact. We derive an exact expression for the energy release rate in terms of local variables at the contact edge, thus linking adhesion to the contact angle. Our model can account for the effects of fluid pressure for experiments performed in solution. We also extend our formulation to include surface tension. Numerical simulations for a neo-Hookean membrane are carried out to study the relation between applied pressure and contact area.

Original languageEnglish (US)
Pages (from-to)1225-1242
Number of pages18
JournalJournal of the Mechanics and Physics of Solids
Volume58
Issue number9
DOIs
StatePublished - Sep 2010

Keywords

  • Adhesion
  • Energy release rate
  • Large deformation
  • Membrane

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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