A method for the analysis of the tangential stresses and the wear distribution between two elastic bodies of revolution in rolling contact

Abstract This study presents a numerical method for computing the tangential stress distribution in the nonelliptical contact area due to creepages 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. To illustrate the efficiency of this method, the problem of rolling contact for wheel and rail of railway vehicles, in which a nonelliptical contact area is formed, has been solved. Due to slip in parts of the contact area, the wear mechanisms lead to a change of wheel-rail profiles. For the combination of the new wheel profile ORE S 1002 with the new rail profile UIC 60, the wear rate distribution on a rail profile is demonstrated.

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