Abstract
This paper studies the contact of general rough curved surfaces having nearly identical geometries, assuming the contact at each differential area obeys the model proposed by Greenwood and Williamson. In order to account for the most general gross geometry, principles of differential geometry of surface are applied. This method while requires more rigorous mathematical manipulations, the fact that it preserves the original surface geometries thus makes the modeling procedure much more intuitive. For subsequent use, differential geometry of axis-symmetric surface is considered instead of general surface (although this “general case” can be done as well) in Chapter 3.1. The final formulas for contact area, load, and frictional torque are derived in Chapter 3.2.
Highlights
The need of understanding rough surfaces contact has long been recognized
One primary focuses of the early studies is to predict real contact area as it varies with load
Since a rough surface is known to include layers of micro-asperities, the real area of contact can be extremely small comparing to the apparent area observed by our eyes and is very difficult to measure. This problem has been addressed and resolved for the first time by Archard, Greenwood and Williamson using novel fractal and statistical models to mathematically describe the microscopic surface structure. Their works have been the basis for various subsequent studies on contact mechanics, describing the surface geometry and material behavior (Yastrebov et al 2014)
Summary
The need of understanding rough surfaces contact has long been recognized. One primary focuses of the early studies is to predict real contact area as it varies with load. Since a rough surface is known to include layers of micro-asperities, the real area of contact can be extremely small comparing to the apparent area observed by our eyes and is very difficult to measure This problem has been addressed and resolved for the first time by Archard, Greenwood and Williamson using novel fractal and statistical models to mathematically describe the microscopic surface structure. The latter in only loosely studied through the inspection of axial contact between two rough curved surfaces having constant curvatures, by replacing them with a nominally flat rough surface and a smooth curved surface having anequivalentcurvature (Johnson 1985) This method gives a quick approximation of pressure distribution, it does not allow one to account for:. Additional analysis on the load – contact area and frictional torque – load relationship is presented
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
