Theory of Fatigue Crack Growth Based on a BCS Crack Theory with Work Hardening.

Abstract

The author's theory of fatigue crack growth, which is based on the Bilby, Cottrell, and Swinden crack theory, is modified to take into account work hardening at fatigue crack tips. In this analysis stress rather than cumulative displacement or cumulative damage is the quantity whose critical value controls the crack growth. The material at the tip of a fatigue crack progressively work hardens until the stress there reaches a critical value. The material then tears apart and the crack advances until it reaches a region in which the stress is smaller than the critical value. An equation which describes the growth of fatigue cracks is derived; it is essentially the same as the crack growth equation found in the earlier analysis. The major change is the replacement of the yield stress term in the older equation with an ultimate stress term in the newer equation. The chief change is the substitution for the average yield stress in the older equation with the ultimate stress in the present equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1971
Accession Number
AD0732493

Entities

People

  • Johannes Weertman

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Crack Tips
  • Cracks
  • Differential Equations
  • Displacement
  • Equations
  • Hardening
  • Materials
  • Mathematical Analysis
  • Mathematics

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).
  • Systems Analysis and Design