Distribution of Long Cracks in a One-Dimensional Model.

Abstract

This report describes work undertaken in an attempt to understand the implications of an idealised model for predicting the fracture of graphite under tension. In this model the graphite is represented as a regular lattice of grains each of which has an equal and independent probability of being cracked under an axial stress. The present study is restricted to a further idealisation in which the model is taken to be one-dimenional. Both an exact formula and an asymptotic approximation to it are derived for the probability of occurrence of one or more sequences of contiguous cracked grains of a given size or greater. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 15, 1975
Accession Number
ADA019264

Entities

People

  • David C. Pridmore-brown
  • Richard H. Huddlestone

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Composite Materials
  • Graphitic Materials
  • Lubricants
  • Mathematics
  • Probability
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Structural Health Monitoring of Composite Structures.