The Asymptotic Distribution for the Time to Failure of a Fiber Bundle.

Abstract

A model is developed for the failure time of a bundle of fibers subjected to a constant load. At any time, all surviving fibers share the bundle load equally while all failed fibers support no load. The bundle may collapse immediately or fibers may fail randomly in time, possibly more than one at a time. The failure time of the bundle is the failure time of the last surviving fiber. For a single fiber, the c. d. f. for the failure time is given as a specific functional of an arbitrary load history. The model is developed using a quantile process approach. In the most important case the failure time of the bundle is shown to be asymptotically normal with known parameters. The bundle failure model has both the features of static strength and of fatigue failure of earlier analyses, and thus is more realistic than earlier models. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1977
Accession Number
ADA049053

Entities

People

  • S. Leigh Phoenix

Organizations

  • Sibley School of Mechanical and Aerospace Engineering

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Collapse
  • Continuity
  • Convergence
  • Data Science
  • Engineering
  • Equations
  • Gaussian Processes
  • Information Science
  • Integral Equations
  • Integrals
  • Military Research
  • Normal Distribution
  • Probability
  • Random Variables
  • Statistics
  • Weak Convergence

Readers

  • Materials Science (Mechanical Engineering).
  • Optical Fiber Sensing and Electromagnetic Propagation.
  • Regression Analysis.