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Assessing the reliability of components with micro- and nano-structures when they are part of a multi-scale system

Abstract

Products with macro and meso scales components have grown into multi-scale systems where some of their components have shrunk to a smaller scale such as micro- and nano-structures. In practice,engineers may be unable to accurately assess their designs to improve the reliability of components in multi-scale systems,because component parts with micro- and nano-structures can not be realized directly in system design phase. Thus,all kinds of design processes such as engineering verifications for physics or functions become increasingly complex in a muti-scale system. For this shortcoming, we present a parametric Bayesian method that enables engineers to assess indirectly the reliability and the quality of a component with either a micro-structure or a nano-structure using experimental data on failure time of the multi-scale system. Our proposed Bayesian approach is flexible in allowing a general model for distributions of failure times of a multi-scale system and its components. Our method is applied to a simulated data set.

Keywords

  • Competing risks;
  • Hazard rate function;
  • Sub-hazard rate function;
  • Multi-scale system;
  • Exponential distribution;
  • Weibull distribution

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