More specifically, in this work the frictionless contact, with adhesion, between a spherical indenter and an elastic layered medium is
investigated. This configuration can be viewed as either a single contact model or as a building block of a multi-asperity rough surface
contact model. As the scale decreases to the nano level, adhesion becomes an important issue. The presence of adhesion affects the
relationships among the applied force, the penetration of the indenter, and the size of the contact area. This axisymmetric problem
includes the effect of adhesion using a Maugis type of adhesion model. This model spans the range of the Tabor parameter between the
JKR and DMT regions. The key parameters in this analysis are the elastic moduli ratio of the layer and the substrate, the dimensionless
layer thickness, and the Maugis adhesion parameter. The results can be applied to a rigid or to an elastic indenter.