Abstract
A theoretical model for the elastic-plastic contact of ellipsoid bodies is presented in this paper. Contact
parameters, such as the mean contact pressure, the contact area and the contact load as a function of the contact
interference are formulated and modeled in the three different contact regimes: elastic, elastic-plastic and fully plastic.
The model introduces a new simple method to analyze the complexity of the elliptical integral by an accurate
approximation so that the calculation can be executed very fast.