Microslip between a Rolling Element and its Track Arising from Geometric Conformity and Applied Surface Tractions

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Abstract
The shape of the microslip areas between a rolling element and its track are obtained by an approximate analysis which utilizes a two-dimensional strain solution applied to elemental strips in the contact zone. The effects of surface tractions and geometric conformity between the rolling element and its track are considered. From this solution it is possible to derive the overall creep arising from such microslip. In particular the condition of zero overall creep is considered as being a useful design criteria for minimum wear in rolling situations. The particular case of wheels rolling along rails is developed as a special solution in which the geometric shapes for both wheel and rail are considered in relation to the applied tractions.