If the functional accuracy of a machine part is lost owing to a linear nonstationary wear process, and the life of the component is terminated when the wear reaches a limiting value then the reliability of the component follows the Bernstein model. In this paper various characteristics of the renewal process are discussed when the life of the renewable units is distributed according to Bernstein's law. Series solutions are developed for the renewal and renewal rate functions. The asymptotic relationships for these functions and for the variance of renewals are also presented. The results are given in both graphical and tabular form. The application of this theory is illustrated using an example of replacement of cutting tools on an automatic machining line.
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