Two-dimensional contact analysis of elastic graded materials

摘要

The present paper examines two-dimensional contact of a rigid cylinder on an elastic graded substrate. The normal, sliding and rolling type of contact are addressed. The effect of adhesion in frictionless contact is also examined. The elastically graded substrate is modeled to be locally isotropic with constant Poisson ratio and elastic modulus that varies with depth, y, according to a power law, E = Eoy~k O≤l＜k, y≥O. y≥O. Such variation covers a fairly broad class of graded materials. Exact results are derived within the context of small deformation linear elasticity. The results show that the power law elastic gradation can be very advantageous in the design of strong and wear resistance sliding surfaces.