Observations on Approximate and Exact Treatments of Fracture Statistics for Polyaxial Stress States

Abstract

An approximate technique sometimes used for estimating the probability of failure of brittle materials under polyaxial loading conditions is to assume that the effect of each principal stress is independent of the presence of the others. It is shown that this assumption is generally unconservative, and that the errors can be large. An exact treatment is given in terms of Weibull theory for materials that obey Weibull's two-parameter formulation, and a simple conservative approximation is suggested for such materials.

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Document Details

Document Type
Technical Report
Publication Date
Dec 04, 1975
Accession Number
ADA019572

Entities

People

  • Samuel B. Batdorf

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Computing-Related Activities
  • Data Science
  • Equations
  • Errors
  • Information Science
  • Interdisciplinary Science
  • Materials
  • Military Research
  • Observation
  • Probability
  • Security
  • Statistics
  • Stresses
  • Survival
  • Tensile Stress

Fields of Study

  • Mathematics
  • Physics

Readers

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