Adhesion of a micro-/nano- beam/plate to a sinusoidal/grooved surface

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.