Fracture Mechanics & Metallic Grains.

Abstract

This report is divided into two parts. The first deals with fracture, the second with matters relating to metallic grains. The object is to develop mathematical models, involving singular integral equations, for crack in the presence of plastic deformation and to use these models so as to predict the stress necessary for crack propagation. The quantity of importance in considerations of fracture, namely the crack extension force G (the square of k), follows immediately through the use of the Bilby-Eshelby formula. Grain size and grain growth are accordingly germane to the study of fracture. A Rayleigh distribution is to be expected on the basis of the random Walker view of grain growth and that is observed experimentally. There is strong evidence to support that the mechanism associated with this view is operative and controlling in grain growth.

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Document Details

Document Type
Technical Report
Publication Date
Nov 14, 1986
Accession Number
ADA174664

Entities

People

  • N. Louat
  • R. J. Arsenault

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Crack Tips
  • Crystal Growth
  • Crystals
  • Equations
  • Fracture (Mechanics)
  • Geometry
  • Grain Boundaries
  • Grain Growth
  • Grain Size
  • Integral Equations
  • Materials
  • Materials Testing
  • Mathematical Models
  • Mechanics
  • Military Research
  • Standards
  • Two Dimensional

Readers

  • Materials Science (Mechanical Engineering).
  • Statistical inference.
  • Systems Analysis and Design