Abstract
This study reports a two-dimensional size-dependent fretting contact model in which a rigid cylinder oscillatingly slides on an elastic half-plane with both normal and oscillatory tangential loads. The effects of the surface energy density on size-dependent contact behaviors are described by Chen-Yao's surface elastic theory. The Airy stress function is used in conjunction with Fourier transform to derive the general governing equations that describe frictional contact. Finally, an effective numerical iterative method is adopted to solve the fretting problem. The combined effects of the surface energy density and friction coefficient on the fretting contact behavior are highlighted. The numerical results obtained from the present size-dependent model are very different from those predicted by classical fretting models without surface effects. The results of this study imply that the fretting behaviors of nanostructures may result in inaccurate predictions when the surface effects are ignored.
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