ON THE CONTINUOUS DISTRIBUTIONS OF DISLOCATIONS,

Abstract

In order to obtain a better interpretation of the plastic behavior of crystalline materials, the contributions of the dislocation density tensor and dislocation loop density tensor are incorporated directly into the parameters of connection of non-Riemannian geometry. The nature of the plastic distortion tensor is re-examined to allow for independent contributions from Nye's dislocation density tensor and Kroupa's dislocation loop density tensor. The effect of these tensors is then related directly to the parameters of the material connection by means of the plastic distortion. This procedure has the potential of allowing a more physical interpretation of the material connection since it is possible to determine experimentally Nye's and Kroupa's density tensors. The effect of these in both microscopic and macroscopic coordinates is presented in this report. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1969
Accession Number
AD0692904

Entities

People

  • Douglas L. Jones
  • Galip M. Arkilic

Organizations

  • George Washington University

Tags

DTIC Thesaurus Topics

  • Dislocations
  • Distortion
  • Geometry
  • Materials

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.