Reliability Models under the Microscope

EasyChair Preprint 15805

Abstract

Material defects caused by the movement of particles , or collisions between them at a molecular level are
investigated. Einstein associated Brownian motions with the second law of thermodynamics. Brownian motion
has been shown to cause a Wiener process degradation. Other types of random walks are introduced and the
estimates of failure time distribution due to the defects is estimated. The practical application of the findings in
reliability engineering practice (prediction, corrective action etc) is surveyed. The failure mechanisms described
herein are a Physics of failure approach. Yet it validates some of the basics of Reliability Standards (e.g.
the existence of constant failure rates, the Arrhenius model ) Prediction standards would overcome some of the
weaknesses of current prediction standards if they incorporated some PoF models, which are generally applicable
for all materials

Keyphrases: degradation, failure mechanisms, random walks, thermodynamics

@booklet{EasyChair:15805,
  author    = {Haim Livni},
  title     = {Reliability Models under the Microscope},
  howpublished = {EasyChair Preprint 15805},
  year      = {EasyChair, 2025}}