A theoretical model for the elastic-plastic contact of ellipsoid bodies is presented in this paper. Contactparameters, such as the mean contact pressure, the contact area and the contact load as a function of the contactinterference 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 accurateapproximation so that the calculation can be executed very fast.
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