ArticleProceedings. Mathematical, physical, and engineering sciences2013
Large deformation contact mechanics of a pressurized long rectangular membrane. II. Adhesive contact.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Article
- Large deformation contact mechanics of long rectangular membranes. I. Adhesionless contact.Proceedings. Mathematical, physical, and engineering sciences · 2013Article
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Abstract
In part I of this work, we presented a theory for adhesionless contact of a pressurized neo-Hookean plane-strain membrane to a rigid substrate. Here, we extend our theory to include adhesion using a fracture mechanics approach. This theory is used to study contact hysteresis commonly observed in experiments. Detailed analysis is carried out to highlight the differences between frictionless and no-slip contact. Membrane detachment is found to be strongly dependent on adhesion: for low adhesion, the membrane 'pinches-off', whereas for large adhesions, it detaches unstably at finite contact ('pull-off'). Expressions are derived for the critical adhesion needed for pinch-off to pull-off transition. Above a threshold adhesion, the membrane exhibits bistability, two stable states at zero applied pressure. The condition for bistability for both frictionless and no-slip boundary conditions is obtained explicitly.
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