NUMERICAL MODELING OF SINGLE-ASPERITY FRICTIONAL CONTACT WITH ADHESION
Keywords:contact mechanics, static friction, adhesion, asperity contact, traction separation law.
In our research, the elastic contact between a sphere and a flat surface is investigated, under the combination of normal and tangential loads, with the simultaneous presence of friction and adhesion. Based on the Boussinesq-Cerruti integral equations, a numerical model was created to calculate the surface tractions and displacements. Maximum shear tractions on the contact interface, and therefore friction, are governed by a bond/material failure mechanism instead of the typical Coulomb friction law. Adding to the generality of our model, a local traction-separation law was enforced for the simulation of normal and shear tractions attributed to the adhesion of the contacting bodies, therefore enabling the interaction between friction and adhesion. Our research aims to extract all the necessary mathematical formulas to describe the response of a spherical tip asperity in contact with a flat surface under normal and tangential loads in the presence of friction and adhesion