On Continuous Distributions of Dislocations in Nonlocal Elasticity.

Abstract

A linear, nonlocal continuum theory of dislocations is developed. The field equations are given for the dislocation density and the stress fields due to continuous distributions of dislocations. Green's functions are obtained for two and three-dimensional media and an integral formula is given for line distribution of dislocations generalizing Peach-Koehler formula of the classical (local) theory. Unlike the classical theory, no stress singularities occur so that self-stress and energies of dislocation loops can be calculated involving no divergences. Exact solutions given for the line and circular distributions of dislocations verify these expectations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1984
Accession Number
ADA141858

Entities

People

  • A. C. Eringen

Organizations

  • Princeton University

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mechanics
  • Chemical Engineering
  • Civil Engineering
  • Composite Materials
  • Differential Equations
  • Equations
  • Integrals
  • Materials
  • Materials Science
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • Partial Differential Equations
  • Physics Laboratories
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Mathematical Modeling and Probability Theory.