Weakest Line Theory Reformulated for Arbitrary Fracture Criterion,

Abstract

A primary objective of statistical fracture theory is to predict the probability of failure for an arbitrary stress state when the failure statistics are known for a particular state, e.g., simple tension. It is proved that the rule for accomplishing this given without proof by Weibull in 1939 is valid for shear-insensitive cracks, i.e., on the assumption that only the component of stress normal to a crack plane contributes to its fracture. Four different failure criteria for shear-sensitive cracks are considered, and the results are compared with test data. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1977
Accession Number
ADA040242

Entities

People

  • H. L. Heinisch Jr.
  • Samuel B. Batdorf

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • California
  • Classification
  • Data Science
  • Equations
  • Experimental Data
  • Integrals
  • Materials
  • Military Research
  • Orientation (Direction)
  • Probability
  • Scientific Research
  • Security
  • Sensitivity
  • Statistical Analysis
  • Statistics
  • Survival

Fields of Study

  • Engineering

Readers

  • Artificial Intelligence
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).