A model is developed to predict the behavior of two sliding bodies undergoing oscillatory motion. A set of four dimensionless groups is introduced to characterize the transient dimensionless surface temperature rise. They are: the Peclet number $Pe,$ the Biot number $Bi,$ the amplitude of oscillation A, and the Hertzian semi-contact width α. Also considered in the analysis is the effect of the ratio $β=A/α$ of the amplitude to the semi-contact width. The results of a series of simulations, covering a range of these independent parameters, are presented, and examples are provided to illuminate the utility of the model.

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