Abstract
The paper presents a numerical analysis of the rolling contact between an elastic ellipsoid and an elastic-plastic flat. Numerical simulations have been performed with the help of a contact solver called Plast-Kid®, with an algorithm based on an integral formulation or semi-analytical method. The effects of the ellipticity ratio k — ranging from 1 to 16 — and of the normal load — from 4.2 to 8 GPa — are investigated. The reference simulation corresponds to the rolling of a ceramic ball on a steel plate made of AISI 52100 bearing steel under a load of 5.7 GPa. The results which are presented are first the permanent deformation of the surface, and second the contact pressure distribution, the Von Mises stress field, the hydrostatic pressure and the equivalent plastic strain state within the elastic-plastic body. A comparison with an experimental surface deformation profile is also given to validate the theoretical background and the numerical procedure.
Highlights
Many structural materials exhibit a strain limit under load beyond which full recovery of the initial geometry is not possible when the load is removed
This paper presents a numerical analysis of the permanent print produced by the rolling of an elastic body upon an elastic-plasticEPflat when plastic flow occurs
This paper investigates the effect of an overload on the permanent deformation of the surface and subsequent subsurface stress and strain states
Summary
Many structural materials exhibit a strain limit under load beyond which full recovery of the initial geometry is not possible when the load is removed. When a ball is normally loaded on a bearing raceway, an indentation may remain in the raceway and the ball may exhibit a flat spot after unloading if the yield stress is exceeded1͔. These permanent deformations may be at the origin of unexpected vibrations and/or entail the bearing life by the accumulation of plastic strain or by stress concentration due to the localized change of the surface geometry. Compared to the finite element methodFEM, the SAM shows much shorter computation times, typically by several orders of magnitude In this method, analytical formulas are derived using Green’s functions, commonly called influence coefficients in the discrete form. Results are of prime importance for rolling bearing manufacturers and users
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