Semi-Analytical Model for 3D Multilayered Rolling Contact Problems With Different Creepage Combinations

Abstract

In this work, a semi-analytical model replicating 3D rolling contact problems with elastic coating layers has been proposed. The dimension reduced boundary element-based model rests on the conventional half-space assumptions, with influence coefficients describing the relationship between the stress and the displacement. In this model, the influence coefficient describes the stress–strain relationship for multilayered materials, which is derived from the corresponding frequency–response functions. The governing equations for 3D rolling contact problems are solved efficiently using the conjugate gradient method with the classical fast Fourier transformation (FFT)-based technique to accelerate the calculation of the integral equation relating the stresses to the strains, and all the possible creepages, i.e., the longitudinal, lateral, and spin creepages, are considered. The results obtained with the present numerical model are compared with existing results, and good agreement is found. Some selected results are presented to show the effect of the material elasticity and the thickness of the coating, and the layering, on the traction distribution and the traction coefficient under different creepage combinations. In this way, this work provides important information related to the composition of layered coatings in rolling contact applications.