A method for the analysis of the tangential stresses and the wear distribution between two elastic bodies of revolution in rolling contact
type: Item
instance of: scholarly article
title: A method for the analysis of the tangential stresses and the wear distribution between two elastic bodies of revolution in rolling contact
zbMATH Open document ID: 0579.73117
DOI: 10.1016/0020-7683(85)90040-X
author: K. Knothe
author: Hung Le-The
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: This study presents a numerical method for computing the tangential stress distribution in the nonelliptical contact area due to creepage during the rolling of two elastic bodies of revolution. The difference is demonstrated between the linear case, when no slip occurs in the whole contact area, and the nonlinear case, when slip occurs in parts of the contact area. The nonlinear case is easily solved by the modification of Kalker's simplified nonlinear theory once the results of the linear case are available. To solve the resulting integral equation for the linear case numerically, the contact area is divided into strips. The tangential stress in each strip can be approximated by second-degree polynomials. The necessary relations for the unknown stress amplitudes are obtained by satisfying the nonslip conditions in two collocation points. The results of the method are compared with those obtained by Kalker for elliptical contact areas.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 3928521
zbMATH Keywords: tangential stress distribution
zbMATH Keywords: nonelliptical contact area
zbMATH Keywords: creepage
zbMATH Keywords: rolling of two elastic bodies of revolution
zbMATH Keywords: linear case
zbMATH Keywords: no slip
zbMATH Keywords: nonlinear case
zbMATH Keywords: slip occurs in parts of the contact area
zbMATH Keywords: modification of Kalker's simplified nonlinear theory
zbMATH Keywords: integral equation for the linear case
zbMATH Keywords: contact area is divided into strips
zbMATH Keywords: tangential stress in each strip
zbMATH Keywords: approximated by second-degree polynomials
zbMATH Keywords: relations for the unknown stress amplitudes
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90040-x
OpenAlex ID: W2014392007
description: scientific article; zbMATH DE number 3928521