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Published in: Metallurgical and Materials Transactions A 13/2012

01-12-2012

Determination of the Minimum Scan Size to Obtain Representative Textures by Electron Backscatter Diffraction

Authors: Abhijit Brahme, Yauheni Staraselski, Kaan Inal, Raja K. Mishra

Published in: Metallurgical and Materials Transactions A | Issue 13/2012

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Abstract

A new method for analyzing microstructure is proposed to evaluate the long-range dependence of texture. The proposed method calculates the average disorientation as a function of distance between data points as measured by electron backscatter diffraction patterns. This method gives a measure of clustering of texture and is used to evaluate accurately the effective grain size. This procedure in conjunction with Information theory is used to estimate a representative scan size for various materials. Analyses show that the optimal scan size depends on grain morphology and crystallographic texture. The results also indicate that on an average the optimal scan size needs to be 10 times the effective grain size.

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Appendix
Available only for authorised users
Footnotes
1
Defined here as the maximum intensity in pole figures.
 
2
The details in this are fascinating but will not be discussed here to avoid diversion from the main thrust of the current study.
 
3
Grain size reported in Table I is grain radius.
 
Literature
1.
go back to reference J.A. Venables and C.J. Harland: Philos. Mag., 1973, vol. 27, no. 5, pp. 1193–1200.CrossRef J.A. Venables and C.J. Harland: Philos. Mag., 1973, vol. 27, no. 5, pp. 1193–1200.CrossRef
2.
go back to reference B. Adams, S. Wright, and K. Kunze: Metall. Trans. A, 1993, vol. 24A, pp. 819–31 B. Adams, S. Wright, and K. Kunze: Metall. Trans. A, 1993, vol. 24A, pp. 819–31
3.
go back to reference K. Kunze, S.I. Wright, B.L. Adams, and D.J. Dingley: Texture Microstruct., 1993, vol. 20, nos. 1–4, pp. 41–54.CrossRef K. Kunze, S.I. Wright, B.L. Adams, and D.J. Dingley: Texture Microstruct., 1993, vol. 20, nos. 1–4, pp. 41–54.CrossRef
4.
go back to reference D.R. Steinmetz and S. Zaefferer: Mater. Sci. Technol., 2010, vol. 26, no. 6, pp. 640–45. D.R. Steinmetz and S. Zaefferer: Mater. Sci. Technol., 2010, vol. 26, no. 6, pp. 640–45.
5.
go back to reference A. Brahme, J. Fridy, H. Weiland, and A.D. Rollett: Model. Simul. Mater. Sci. Eng., 2009, vol. 17 (1), p. 015005. A. Brahme, J. Fridy, H. Weiland, and A.D. Rollett: Model. Simul. Mater. Sci. Eng., 2009, vol. 17 (1), p. 015005.
6.
go back to reference O.M. Ivasishin, S.V. Shevchenko, N.L. Vasiliev, and S.L. Semiatin: Mater. Sci. Eng. A, 2006, vol. 433, nos. 1–2, pp. 216–32. O.M. Ivasishin, S.V. Shevchenko, N.L. Vasiliev, and S.L. Semiatin: Mater. Sci. Eng. A, 2006, vol. 433, nos. 1–2, pp. 216–32.
7.
go back to reference D. Raabe and L. Hantcherli: Comput. Mater. Sci., 2005, vol. 34, no. 4, pp. 299–313.CrossRef D. Raabe and L. Hantcherli: Comput. Mater. Sci., 2005, vol. 34, no. 4, pp. 299–313.CrossRef
8.
go back to reference A. Bhattacharyya, E. El-Danaf, S.R. Kalidindi, and R.D. Doherty: Int. J. Plast., 2001, vol. 17, no. 6, pp. 861–83.CrossRef A. Bhattacharyya, E. El-Danaf, S.R. Kalidindi, and R.D. Doherty: Int. J. Plast., 2001, vol. 17, no. 6, pp. 861–83.CrossRef
9.
go back to reference D. Raabe, M. Sachtleber, Z. Zhao, F. Roters, and S. Zaefferer: Acta Mater., 2001, vol. 49, no. 17, pp. 3433–41.CrossRef D. Raabe, M. Sachtleber, Z. Zhao, F. Roters, and S. Zaefferer: Acta Mater., 2001, vol. 49, no. 17, pp. 3433–41.CrossRef
10.
go back to reference A. Musienko, A. Tatschl, K. Schmidegg, O. Kolednik, R. Pippan, G. Cailletaud: Acta Mater., 2007, vol. 55, no. 12, pp. 4121–36.CrossRef A. Musienko, A. Tatschl, K. Schmidegg, O. Kolednik, R. Pippan, G. Cailletaud: Acta Mater., 2007, vol. 55, no. 12, pp. 4121–36.CrossRef
11.
go back to reference K. Inal, M.H. Simha, and R.K. Mishra: J. Eng. Mater. Technol., 2008, vol. 130, pp. 021003-1–021003-8. K. Inal, M.H. Simha, and R.K. Mishra: J. Eng. Mater. Technol., 2008, vol. 130, pp. 021003-1–021003-8.
12.
go back to reference R. Lebensohn, R. Brenner, O. Castelnau, and A. Rollett: Acta Mater., 2008, vol. 56, no. 15, pp. 3914–26.CrossRef R. Lebensohn, R. Brenner, O. Castelnau, and A. Rollett: Acta Mater., 2008, vol. 56, no. 15, pp. 3914–26.CrossRef
13.
go back to reference V.V. Fedorov: Theory of Optimal Experiments, Academic Press, New York, 1972. V.V. Fedorov: Theory of Optimal Experiments, Academic Press, New York, 1972.
14.
go back to reference C.A. Schuh, M. Kumar, and W.E. King: Acta Mater., 2003, vol. 51, no. 3, pp. 687–700.CrossRef C.A. Schuh, M. Kumar, and W.E. King: Acta Mater., 2003, vol. 51, no. 3, pp. 687–700.CrossRef
15.
16.
go back to reference S.I. Wright, M.M. Nowell, and J.F. Bingert: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 1845–55.CrossRef S.I. Wright, M.M. Nowell, and J.F. Bingert: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 1845–55.CrossRef
17.
go back to reference T. Baudin and R. Penelle: Metall. Trans. A, 1993, vol. 24, pp. 2299–2311.CrossRef T. Baudin and R. Penelle: Metall. Trans. A, 1993, vol. 24, pp. 2299–2311.CrossRef
18.
go back to reference K. Davut and S. Zaefferer: Metall. Mater. Trans. A, 2010, vol. 41A, pp. 2187–96.CrossRef K. Davut and S. Zaefferer: Metall. Mater. Trans. A, 2010, vol. 41A, pp. 2187–96.CrossRef
19.
go back to reference H.J. Bunge: Texture Analysis in Materials Science, Butterworths, London, 1982. H.J. Bunge: Texture Analysis in Materials Science, Butterworths, London, 1982.
20.
go back to reference B. Beausir, C. Fressengeas, N.P. Gurao, L.S. Toth, and S. Suwas: Acta Mater., 2009, vol. 57, no. 18, pp. 5382–95.CrossRef B. Beausir, C. Fressengeas, N.P. Gurao, L.S. Toth, and S. Suwas: Acta Mater., 2009, vol. 57, no. 18, pp. 5382–95.CrossRef
21.
go back to reference B. Adams, P. Morris, T. Wang, K. Willden, and S. Wright: Acta Metall., 1987, vol. 35, no. 12, pp. 2935–46.CrossRef B. Adams, P. Morris, T. Wang, K. Willden, and S. Wright: Acta Metall., 1987, vol. 35, no. 12, pp. 2935–46.CrossRef
22.
go back to reference N.R. Barton and P.R. Dawson: Model. Simul. Mater. Sci. Eng., 2001, vol. 9, no. 5, p. 433.CrossRef N.R. Barton and P.R. Dawson: Model. Simul. Mater. Sci. Eng., 2001, vol. 9, no. 5, p. 433.CrossRef
23.
go back to reference A. Vorhauer, T. Hebesberger, and R. Pippan: Acta Mater., 2003, vol. 51, no. 3, pp. 677–86.CrossRef A. Vorhauer, T. Hebesberger, and R. Pippan: Acta Mater., 2003, vol. 51, no. 3, pp. 677–86.CrossRef
24.
go back to reference R.M. Gray: Entropy and Information Theory, Springer, New York, 2009. R.M. Gray: Entropy and Information Theory, Springer, New York, 2009.
25.
go back to reference S. Kullback and R.A. Leibler: Ann. Math. Stat., 1951, vol. 22, no. 1, pp. 79–86.CrossRef S. Kullback and R.A. Leibler: Ann. Math. Stat., 1951, vol. 22, no. 1, pp. 79–86.CrossRef
26.
Metadata
Title
Determination of the Minimum Scan Size to Obtain Representative Textures by Electron Backscatter Diffraction
Authors
Abhijit Brahme
Yauheni Staraselski
Kaan Inal
Raja K. Mishra
Publication date
01-12-2012
Publisher
Springer US
Published in
Metallurgical and Materials Transactions A / Issue 13/2012
Print ISSN: 1073-5623
Electronic ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-012-1364-5

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