New Light on Weibull Theory.

Abstract

In 1939 Weibull applied weakest link theory to the interpretation of the variability of fracture stress of nominally identical specimens. He attributed this variation to the presence of sources of weakness, or flaws, that were given a strength, but no other physical properties. Accordingly, his theory rests primarily on the statistics of extreme values. It is now generally believed that the most important sources of weakness are microcracks. Thus an ideal statistical theory of fracture must take into account of fracture mechanics and material microstructure. Present paper outlines recent progress along these lines, and shows how the resulting more fundamental theories reduce to Weibull theory when certain simplifying assumptions are made. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA044832

Entities

People

  • G. H. Sines
  • Samuel B. Batdorf

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mechanics
  • Data Science
  • Engineering
  • Fracture (Mechanics)
  • Information Science
  • Materials
  • Materials Science
  • Mathematical Analysis
  • Mechanical Properties
  • Mechanics
  • Microstructure
  • Physical Properties
  • Rupture
  • Statistical Analysis
  • Statistical Distributions
  • Statistics
  • Stresses

Readers

  • Regression Analysis.
  • Structural Health Monitoring of Composite Structures.
  • Systems Analysis and Design