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 language | English (US) |
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Pages (from-to) | 1225-1242 |
Number of pages | 18 |
Journal | Journal of the Mechanics and Physics of Solids |
Volume | 58 |
Issue number | 9 |
DOIs | |
State | Published - Sep 2010 |
Keywords
- Adhesion
- Energy release rate
- Large deformation
- Membrane
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering