Fracture Statistics of Isotropic Brittle Materials with Surface Flaws.

Abstract

A weakest link theory for macroscopically homogeneous, isotropic, brittle materials, the surfaces of which contain randomly oriented microcracks uniformly distributed with respect to location, is developed under the assumption that fracture depends only on the tensile stress normal to a crack line. The function representing the number of cracks failing at each value of normal stress is very simply determined from fracture statistics for equibiaxial tension. This function is used without additional assumptions to determine the probability of fracture under arbitrary stress conditions. The theory is shown to be in better agreement with extensive experimental data on pyrex cylinders than previously available theories. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 03, 1973
Accession Number
AD0771491

Entities

People

  • Samuel B. Batdorf

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Agreements
  • Data Science
  • Experimental Data
  • Information Science
  • Materials
  • Mathematics
  • Probability
  • Statistics
  • Stresses
  • Tensile Stress

Readers

  • Materials Science (Mechanical Engineering).
  • Mechanical Engineering/Mechanics of Materials.
  • Regression Analysis.