A method to model crystalline anisotropy in contact using semi-analytical method. (December 2020)

• Record Type: Journal Article
• Authors: Beyer, Thibault; Chaise, Thibaut; Leroux, Julien; Sadeghi, Farshid; Nelias, Daniel
• Is Part Of: Tribology international. Volume 152(2020)
• Publication Date: 2020-12
• Subjects: Contact mechanics -- Semi-analytical methods (SAM) -- Voronoi tessellation -- Rolling contact fatigue (RCF) -- Eshelby's equivalent inclusion method (EIM) -- Inhomogeneity -- Eigenstrain; Tribology -- Periodicals; 621.89
• DOI: 10.1016/j.triboint.2020.106429
• Languages: English
• ISSNs: 0301-679X

Abstract

Abstract: In this paper, the contact problem between a cylinder and a half-space with a crystalline anisotropic behavior is solved. The model is based on semi-analytical methods to solve a three dimensional contact problem. A numerical technique based on a Voronoi tessellation is implemented using the Eshelby's equivalent inclusion method to account for the effect of the material microstructure on the contact pressure distribution and subsurface stresses. Fast Fourier Transforms (3D and 2D) are used to reduce the computation cost of the simulations. An application of this method to compute the scatter in fatigue life of rolling element bearings is also presented. Three different critical stresses are used in the Lundberg-Palmgren equation and results are compared in term of Weibull plot slope. Highlights: 3D contact model taking into account the microstructure of the material (steel). Microstructure grains are anisotropic. The anisotropy of the microstructure and the presence of heterogeneities influence the contact pressure distribution which is not Hertzian. A Monte-Carlo simulation of the grain distribution is used to perform a statistical analysis of the rolling contact fatigue life. In fine the proposed method permits to link the Weibull parameters of the fatigue life distribution to the microstructure features.