Large deformation contact mechanics of a pressurized long rectangular membrane. II. Adhesive contact

Proceedings. Mathematical, Physical, and Engineering Sciences
Abhishek Srivastava, Chung-Yuen Hui

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.

References

Jun 22, 2007·Proceedings of the National Academy of Sciences of the United States of America·Nicholas J GlassmakerManoj K Chaudhury
Aug 1, 2008·Langmuir : the ACS Journal of Surfaces and Colloids·Shilpi VajpayeeAnand Jagota
Sep 16, 2010·Langmuir : the ACS Journal of Surfaces and Colloids·Nichole NadermannC-Y Hui
Jan 8, 2013·Langmuir : the ACS Journal of Surfaces and Colloids·Evan J LapradeKenneth R Shull
Dec 20, 2013·Proceedings. Mathematical, Physical, and Engineering Sciences·Abhishek Srivastava, Chung-Yuen Hui

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Citations

Dec 20, 2013·Proceedings. Mathematical, Physical, and Engineering Sciences·Abhishek Srivastava, Chung-Yuen Hui
Dec 21, 2016·Langmuir : the ACS Journal of Surfaces and Colloids·Tianshu LiuChung-Yuen Hui
Sep 25, 2015·Soft Matter·Chung-Yuen Hui, Anand Jagota
Nov 15, 2016·Polymers·Deepa Sritharan, Elisabeth Smela

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