Analytical and experimental study of a circular membrane in Hertzian contact with a rigid substrate

作者：Xu Dewei; Liechti Kenneth M^*

来源：International Journal of Solids and Structures, 2010, 47(7-8): 969-977.

DOI：10.1016/j.ijsolstr.2009.12.013

• Contact mechanics
• Membranes
• Moire deflectometry
• Hertz
• Cell contact and adhesion
• Micro-electro-mechanical systems (MEMS)
• Micro-opto-electro-mechanical systems (MOEMS)

The problem that is addressed here is that of a pressurized circular membrane in contact with a rigid substrate. A closed-form membrane analysis with Hertz-type contact is developed to describe the relationship between pressure, contact radius and contact force. Both the variation in the slope of the deflection profile of the portion of the membrane outside the contact zone and the contact radius itself are measured by an apparatus based on moire deflectometry. Contact experiments with a 3 Pm PET film and a glass substrate show that this analysis predicts both the slope field and contact radius well.

• 出版日期2010-4