Adhesion of a micro-/nano- beam/plate to a sinusoidal/grooved surface
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文摘
Micro- and nano-scale elements are more prone to the effects of adhesion than are their macro-scale counterparts. At the same time these structural elements are important in a variety of modern applications. For example carbon nanotubes and single layer graphene have excellent mechanical and electrical properties which make them attractive elements for many of these small scale applications. Adhesive contact and the resulting morphology of micro-/nano-scale beams/plates on a sinusoidal/grooved surface are the subject of this investigation. A non-dimensional adhesion energy is shown to play a key role in the transition between different configurations. There are three possible morphologies – point/line contact at the surface peaks, partially conformal contact over a finite length, and fully conformal contact. The objective of this study is to determine the conditions under which these elements will follow the topology of the surface, when separation will occur, and the extent of the separation.

There are three different ways to model this behavior: a) without the stiffening effect as has been studied in a previous investigation; b) with the stiffening effect due to the contact regions being prevented from slipping axially, thereby inducing tension due to transverse displacement; c) the case with frictional slip regions which reduces the induced tension compared to case (b). The analysis uses continuum theory with bending and induced tension as needed. As the adhesion energy increases, the induced tension increases and the contact region increases. The three different models show significant quantitative differences.

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