Indentation of a nanolayer on a substrate by a rigid cylinder in adhesive contact

Elastic solution of surface loaded layer with couple and surface stress effects

“…Within the context of surface mechanics, applications of such theory to study the near-surface responses have also been well recognized; for instance, problems related to half plane, half space, and layered media under surface loads (e.g. 7,8,[51][52][53][54] ) and surface contacts [55][56][57][58][59][60][61][62] . Results from existing studies have confirmed the significant role of both residual surface tension and surface elasticity on the predicted responses and the size dependent characteristics as the relevant external length scales become comparable to the intrinsic length scale of the material surface.…”