A DISCUSSION OF THEORIES OF GRAIN-BOUNDARY DIFFUSION

Abstract

The major theoretical efforts dealing with grainboundary diffusion were reconsidered with a view to establishing their mathematical rigor and laying a firm foundation for further work. The details of Whipple's solution to the boundary value problem were reconstructed and are given. Fisher's approximate solution and its relationship to the exact solution were considered. A way of evaluating the accuracy of this approximation was outlined. The work of Borisov et al., was shown to be equivalent to that of Whipple. An outline is presented of computational problems directed toward improving our understanding of the relationship of grain-boundary diffusion to the usual model and evaluating various approximations which are frequently used in the study of grain-boundary diffusion.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0265441

Entities

People

  • C. C. Maneri
  • F. J. Milford

Organizations

  • Battelle Memorial Institute

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Boundary Value Problems
  • Contour Integrals
  • Crystal Structure
  • Differential Equations
  • Diffusion
  • Equations
  • Grain Boundaries
  • Integrals
  • Inversion
  • Mathematics
  • Numbers
  • Real Numbers
  • Real Variables
  • Three Dimensional
  • United States

Readers

  • Calculus or Mathematical Analysis
  • Materials Science (Mechanical Engineering).
  • Theoretical Analysis.