Abstract

A general elliptical Hertzian contact, such as a ball rolling in a non-conforming groove or two non-orthogonal cylinders, is a universal phenomenon in engineering. A partial elliptical contact is formed by contact bodies under a normal force and a transverse force that is insufficient to cause complete sliding. A computational model based on the semi-analytical method is established to calculate the von Mises stress distribution. Furthermore, a parametric study on factors influencing the location of the maximum von Mises stress point, such as the coefficient of friction and stick zone ratio, is conducted. Results show that the location of the maximum von Mises stress point depends on the coefficient of friction f and stick zone ratio c. The von Mises stress increases significantly with the increasing coefficient of friction f. Moreover, the maximum von Mises stress point tends to occur at a subsurface when the stick ratio c increases.

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