Adhesive contact of a rigid sphere to finitely stretched substrates

Flattening of a deformable sphere by a rigid sphere during transient thermo-mechanical contact

A finite element model is developed to study the transient thermo-mechanical contact between a rigid sphere and an elastic–plastic sphere. Interference and tangential displacement are applied to the rigid sphere while the elastic–plastic sphere is stationary. The radius of the rigid sphere is larger than that of the elastic–plastic sphere to model flattening. Universal solutions are obtained fo...

Adhesive contact of a compliant sphere to an elastic coated substrate: the thin film limit

Experimental results for adhesive contacts on substrates coated with elastomeric thin films have recently been obtained by C. Tardivat and L. Léger (J. Adhesion Sci. Technol. 15 10551078 (2001)) by the so-called JKR test, which provides both adhesion energy and elastic modulus. These data show that on substrates coated with thin films the adhesion and effective elastic modulus of the sphere dep...

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

Contact probing of stretched membranes and adhesive interactions: graphene and other two-dimensional materials

Contact probing is the preferable method for studying mechanical properties of thin two-dimensional (2D) materials. These studies are based on analysis of experimental force-displacement curves obtained by loading of a stretched membrane by a probe of an atomic force microscope or a nanoindenter. Both non-adhesive and adhesive contact interactions between such a probe and a 2D membrane are stud...

Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat

An elastic–plastic adhesion model for a metallic deformable sphere pressed by a rigid flat is presented. Analytical dimensionless expressions for the local separation outside the contact area and for the adhesion force are provided covering a large range of interference values from a point contact to a fully plastic contact. Two main dimensionless parameters of the problem are identified and th...