ON THE INTERACTION OF INCLUSIONS WITH MIGRATING GRAIN BOUNDARIES.

Abstract

The pinning force exerted by an inclusion or particle of a second phase on a migrating grain boundary is calculated, allowing for the nature of the inclusion-matrix interface. The shape of a grain boundary as it bulges between inclusions can be described by a differential equation which is solved numerically to obtain profiles of boundaries as they interact with inclusions. These profiles suggest that the pressure on a grain boundary, causing it to migrate, can be obtained experimentally by measuring the amount by which a boundary bulges between inclusions. This makes possible an experimental measurement of the pinning force exerted by a single inclusion. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0663172

Entities

People

  • James W. Lewis
  • M. F. Ashby

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Grain Boundaries
  • Inclusions
  • Mathematics
  • Measurement
  • Particles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Materials Science and Engineering.