Accession Number:

AD0265441

Title:

A DISCUSSION OF THEORIES OF GRAIN-BOUNDARY DIFFUSION

Descriptive Note:

Corporate Author:

BATTELLE MEMORIAL INST COLUMBUS OH

Personal Author(s):

• MANERI, C. C.
• MILFORD, F. J.

Report Date:

1961-07-01

Pagination or Media Count:

46.0

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 Whipples solution to the boundary value problem were reconstructed and are given. Fishers 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.

Descriptors:

• *DIFFUSION
• *SOLIDS
• DIFFERENTIAL EQUATIONS
• INTEGRAL TRANSFORMS
• NUMERICAL ANALYSIS
• NUMERICAL INTEGRATION
• PEPSINS
• THEORY
• TRANSFORMATIONS(MATHEMATICS)

Subject Categories:

• Optics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE