Stress State of Elastic Bodies with an Intermediate Layer in Rolling Contact with Slip

The paper considers a 3D contact problem of stationary rolling with slip of an elastic body on an elastic half-space covered with a thin viscoelastic layer taking into account three relative slip components: longitudinal slip, lateral slip, and spin slip. The mechanical behavior of the viscoelastic layer is described by the Maxwell model. The normal stress in the contact region is calculated using the Hertz solution, assuming that the elastic properties of the rolling body and half-space are the same and that the normal compliance of the layer is negligible. The shear stress and the location of stick-slip zones in the contact region are calculated by the variational method. The contact stress distribution is calculated at different values of the sliding friction coefficient, relative slip velocity, angular spin velocity, and viscoelastic layer properties, and the calculated results are applied to analyze the distribution of internal stresses in the elastic half-space and to determine the sites of principal shear stress concentration beneath the material surface depending on the conditions of interaction and properties of the intermediate layer. The proposed model can be used for identifying fatigue crack initiation sites in interacting bodies subjected to rolling friction.