Abstract
The solution to an elastic-plastic rough surface contact problem can be applied to phenomena such as friction and contact resistance. Many different types of models have therefore been developed to solve rough surface contact. A deterministic approach may accurately describe the entire surface, but the computing time is too long for practical use. Thus, mathematically abbreviated models have been developed to describe rough surface contact. Many popular models employ a statistical methodology to solve the contact problem, and they borrow the solution for spherical or parabolic contact to represent individual asperities. However, it is believed that a sinusoidal geometry may be a more realistic asperity representation. This has been applied to a newer version of the stacked multiscale model and statistical models. While no single model can accurately describe every contact problem better than any other, this work aims to help establish guidelines that determine the best model to solve a rough surface contact problem by applying mathematical and deterministic models to two reference surfaces in contact with a rigid flat. The discrepancies and similarities form the basis of those guidelines.
Highlights
Contact between rough surfaces is a ubiquitous problem that can be applied to numerous phenomena such as friction, wear, and contact resistance
The surface is generalized by using mathematical parameters to calculate probabilities to determine the contact area and force
Due to their limitations, such as predicting zero contact area, for a true fractal surface, they are not considered in this work
Summary
Contact between rough surfaces is a ubiquitous problem that can be applied to numerous phenomena such as friction, wear, and contact resistance. It can be modeled in many ways such as statistical [1,2,3,4], fractal [5], and multi-scale [6] models. Fractal-based models account for different scales of surface features neglected by statistical models. Due to their limitations, such as predicting zero contact area, for a true fractal surface, they are not considered in this work. The multi-scale model more accurately incorporates deformation mechanics and is not restrained to zero area of contact at the smallest scales, which occurs if perfect fractal surfaces are assumed
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
