MODEL OF FAILURE IN COMPONENTS,

Abstract

The theory of failure is fundamental in understanding the reliability of complex systems. This paper is a review of some aspects of the theory of failure of particular interest to statisticians. There are two approaches available in this theory: the phenomenological and the microscopic; an example of the letter approach is the dislocation theory of fatigue wherein molecular and crystal mechanisms of this kind of failure are analyzed, while an example of the former approach is a statistical distribution curve which is fitted to failure probability vs time of light bulbs. Treated are models of failure leading to three frequency functions of failure: the normal, the logarithmic-normal, and the exponential. In each instance these three classes are treated from both the phenomenological and the microscopic aspect. In conclusion, a problem of particular interest to statisticians is presented which arises in failure theory.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0631495

Entities

People

  • C. R. Gates
  • S. E. Benesch

Organizations

  • Jet Propulsion Laboratory

Tags

DTIC Thesaurus Topics

  • Complex Systems
  • Data Science
  • Dislocations
  • Distribution Curves
  • Frequency
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Probability
  • Reliability
  • Statistical Distributions

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Structural Health Monitoring of Composite Structures.