Approximations to the Whipple solution for grain boundary diffusion and an algorithm for their avoidance

Journal of Applied Physics

Volumn 82, Issue 2, 1997, Pages 628-634

  Evans, J W ^a  

^a Lawrence Berkeley National Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3843106772     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.365590     Document Type: Article

References (10)

1. R. T. P. Whipple, Philos. Mag. 45, 1225 (1954).
2. Y.-C. Chung and B. J. Wuensch, J. Appl. Phys. 79, 8323 (1996).
3. A. D. Le Claire, J. Appl. Phys. 14, 351 (1963).
4. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
5. J. C. Fisher, J. Appl. Phys. 22, 74 (1951).
6. H. S. Levine and C. J. MacCallum, J. Appl. Phys. 31, 595 (1960).
7. M. Liberatore and B. J. Wuensch, Mater. Res. Soc. Symp. Proc. 357, 389 (1995).
8. W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1986).
9. A. M. Glaeser and J. W. Evans, Acta Metall. 34, 1545 (1986).
10. An implementation in the form of a public domain FORTRAN program, WHIPFIT, may be found at http://www.mse.berkeley.edu/faculty/evans/ whipfit.html