Fracture Statistics of Brittle Materials with Intergranular Cracks.

Abstract

A statistical theory for intergranular crack frequency as a function of crack size has been developed for polycrystalline materials. On the assumption that the cracks are penny-shaped and that brittle fracture is caused by overstressing the weakest link, the crack frequency was converted into a statistical theory of fracture. In general, the predicted behavior is in reasonable agreement with experimental observations, though whether agreement is significantly better than Weibull's theory will require detailed examination. Among the attractive features of the new theory are (1) a closer relationship to fracture mechanics and to material structure and properties compared with the Weibull theory, and (2) a capacity for refinement so as to model the actual material structure more closely, which should result in improved agreement with experiment. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Oct 10, 1974
Accession Number
AD0787747

Entities

People

  • Samuel B. Batdorf

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Agreements
  • Continuum Mechanics
  • Fracture (Mechanics)
  • Frequency
  • Materials
  • Mechanics
  • Observation
  • Physics
  • Polycrystals
  • Statistics

Readers

  • Materials Science (Mechanical Engineering).
  • Theoretical Analysis.