Application of the first-passage time method to tribological problems

TL;DR

This paper introduces a novel approach using the first-passage time method to analyze failure times in tribological systems, linking entropy changes with failure probability and allowing for diverse failure mechanisms.

Contribution

It applies the first-passage time method to tribological failures, integrating entropy changes into failure time analysis, which broadens the understanding of failure mechanisms.

Findings

First-passage time distribution models failure times.

Entropy change correlates with failure probability.

Method accommodates various failure causes.

Abstract

The time until the failure of some node of the system or until the end of some stage of the operation of the tribological system is associated with the change in entropy in the system that occurs during this time. Methods of the first-passage time by a random process of some given level are used. We assume that the first-passage time is equal to the time to failure. A statistical distribution containing the first-passage time is introduced. The thermodynamic parameter associated with the random variable of the first-passage time is expressed in terms of the change in entropy. This parameter is also included in the expression for the time to failure. This approach allows arbitrary reasons for failures to be included in the consideration. The possibilities of the proposed approach are discussed.