title: Johnson-Kendall-Roberts adhesive contact for a toroidal indenter.
abstract: The unilateral axisymmetric frictionless adhesive contact problem for a toroidal indenter and an elastic half-space is considered in the framework of the Johnson-Kendall-Roberts theory. In the case of a semi-fixed annular contact area, when one of the contact radii is fixed, while the other varies during indentation, we obtain the asymptotic solution of the adhesive contact problem based on the solution of the corresponding unilateral non-adhesive contact problem. In particular, the adhesive contact problem for Barber's concave indenter is considered in detail. In the case when both contact radii are variable, we construct the leading-order asymptotic solution for a narrow annular contact area. It is found that for a v-shaped generalized toroidal indenter, the pull-off force is independent of the elastic properties of the indented solid.
authors: Berlin University of Technology , Berlin 10623, Germany.
authors: Ivan
authors: I
authors: Argatov
authors: Berlin University of Technology , Berlin 10623, Germany.
authors: Qiang
authors: Q
authors: Li
authors: Berlin University of Technology , Berlin 10623, Germany.
authors: Roman
authors: R
authors: Pohrt
authors: Berlin University of Technology , Berlin 10623, Germany.
authors: Valentin L
authors: 0000-0003-0506-3804
authors: VL
authors: Popov
keywords: adhesive contact; method of dimensionality reduction; toroidal indenter; unilateral contact