The JKR-type adhesive contact problems for power-law shaped axisymmetric punches

An easy-to-implement numerical simulation method for adhesive contact problems involving asymmetric adhesive contact

A novel numerical method to solve asymmetric adhesive contact problems in rectangular coordinates has been developed. Surface interaction is modelled using an interface potential, deformation is coupled using Green’s functions for a half space, and the resulting system of equations is solved by a relaxation technique. The method can handle arbitrary surface topography and properties. Compared w...

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...

Thick Obstacle Problems with Dynamic Adhesive Contact

In this work, we consider dynamic frictionless contact with adhesion between a viscoelastic body of the Kelvin-Voigt type and a stationary rigid obstacle, based on the Signorini’s contact conditions. Including the adhesion processes modeled by the bonding field, a new version of energy function is defined. We use the energy function to derive a new form of energy balance which is supported by n...

Modelling of Cylindrical Contact Theories ‎of Hertz and JKR for the Manipulation of ‎Biological Micro/Nanoparticles

   This paper deals with the development and modeling of cylindrical contact theories and also the simulation of contact forces to be applied in the manipulation of various biological micro/nanoparticles by means of the AFM. First, the simulation of contact forces in four environments has been carried out, which are the most commonly used fluid in biomanipulation. Then, the spherical and cy...

Numerical Methods for Power-Law Diffusion Problems