Abstract
The orientation distribution function (ODF) calculation is usually performed using pole figures measured by X-ray or neutron diffraction. However, this kind of experimental technique does not allow total ODF to be determined, since the odd terms of the series expansion are not directly accessible from pole figures. The individual orientation measurement technique can be used, but it is necessary to evaluate the right orientation number necessary for a statistically reliable ODF. For samples at the surface, at the fifth of thickness from the surface and at the center of a Fe 3 pct Si sheet, this study shows that only 100 orientations are sufficient to find the principal components of the texture, but this number must be increased by a factor of 10 to evaluate with rather good accuracy the heights of the peaks. Indeed, to obtain a good correlation with an ODF calculated from pole figures measured by X-ray diffraction, the number of orientations needed is about 1000.
Similar content being viewed by others
References
H.J. Bunge:Z. Metallkd., 1965, vol. 56, pp. 827–74.
H.J. Bunge:Texture Analysis in Materials Science, Butterworth's, London, 1982.
R.J. Roe:J. Appl. Phys., 1965, vol. 36, pp. 2024–31.
R.J. Roe:J. Appl. Phys., 1966, vol. 37, pp. 2069–72.
R.O. Williams:J. Appl. Phys., 1968, vol. 39, pp. 4329–35.
D. Ruer and R. Baro:Adv. X-ray Anal., 1977, vol. 20, pp. 187–200.
A. Vadon: Ph.D. Thesis, University of Metz, France, 1981.
H. Schaeben, A. Vadon, and H.R. Wenk: InPreferred Orientation in Deformed Metals and Rocks: an Introduction to Modern Texture Analysis, Academic Press, Orlando, FL, 1985, pp. 123–37.
J. Imhof:Phys. Status Solidi B, 1983, vol. 110, pp. 693–701.
J. Imhof:Phys. Status Solidi B, 1983, vol. 110, pp. 321–28.
J. Pospiech:Proc. 1COTOM 8, Santa Fé, NM, Sept. 1987, J.S. Kallend and G. Gottstein, eds. TMS Warrendale, PA, 1988, pp. 93–104.
S. Matthies, G.W. Vinel, and K. Helming:Standard Distribution in Texture Analysis, Akademie-Verlag, Berlin, 1987.
F. Wagner: Ph.D. Thesis, University of Metz, France, 1983.
W. Truszkowski, J. Pospiech, J. Jura, and B. Major:Proc. 3ème Colloque Européen sur les Textures de Déformation et de Recristallisation des Métaux et Leurs Applications Industrielles, Pont-'a-Mousson, France, R. Penelle, ed., Société Française de Métallurgie, 1973, pp. 235–57.
H.J. Virnich, J. Pospiech, A. Flemmer, and K. Lücke:Proc. ICOTOM 5, Aachen, Mar. 1978, G. Gottstein and K. Lücke, eds., Springer-Verlag, Berlin, 1978, pp. 129–38.
J. Pospiech, K. Lücke, and J. Jura:Proc. ICOTOM 6, Tokyo, Sept.–Oct. 1981, The Iron and Steel Institute of Japan, Tokyo, 1981, pp. 1390–1401.
K. Lücke, J. Pospiech, K.H. Virnich, and J. Jura:Acta Metall., 1981, vol. 29, pp. 167–85.
F. Wagner, H.R. Wenk, C. Esling, and HJ. Bunge:Phys. Status Solidi A, 1981, vol. 67, pp. 269–85.
S.I. Wright and B.L. Actams:Textures and Microstructures, 1990, vol. 12, pp. 65–76.
M. Dahms and H.J. Bunge:Textures and Microstructures, 1988, vol. 10, pp. 21–35.
C. Esling: Ph.D. Thesis, University of Metz, France, 1981.
P. Van Houtte:Textures and Microstructures, 1983, vol. 6, pp. 1–20.
F. Wang, J. Xu, and Z. Liang:Textures and Microstructures, 1989, vol. 10, pp. 217–26.
H.J. Bunge:Proc. ICOTOM 8, Santa Fé, NM, Sept. 1987, J.S. Kallend and G. Gottstein, eds., TMS, Warrendale, PA, 1988, pp. 69–78.
F. Wagner, M. Humbert, C. Esling, and J. Muler:Proc. ICOTOM 9, Avignon, Sept. 1990, appeared inTextures and Microstructures, 1992, vol. 14-18, pp. 45-51.
N. Rouag: Ph.D. Thesis, University of Orsay, 1988.
N. Rouag and R. Penelle:Textures and Microstructures, 1989, vol. 11, pp. 203–17.
F. Wagner, M. Humbert, J. Muller, and C. Esling:Europhys. Lett., 1990, vol. 11 (5), pp. 479–83.
F. Wagner and M. Dahms:Advances and Applications of Quantitative Texture Analysis, H.J. Bunge and C. Esling, eds., DGM Oberursel, 1991, pp. 101-08.
D.J. Dingley:Proc. ICOTOM 8, Santa-Fé, Sept. 1987, J.S. Kallend and G. Gottstein, eds., TMS, Warrendale, PA, 1988, pp. 189–94.
R. Penelle, T. Baudin, P. Paillard, and L. Mora:Proc. ICOTOM 9, Avignon, Sept. 1990, C. Esling, R. Penelle, H. Bunge, eds., appeared inTextures and Microstructures, 1992, vol. 14-18, pp. 597-610.
T. Baudin, P. Paillard, and R. Penelle:J. Appl. Cryst., 1992, vol. 25, pp. 400–08.
R. Penelle and T. Baudin:Proc. Microscale Textures of Materials, Cincinnati, OH, Oct. 1991, appeared inTextures and Microstructures, 1993, vol. 20, pp. 165-77.
B.L. actams: Brigham Young University, Provo, UT, private communication, 1992.
S.I. Wright, B.L. actams, and K. Kunze: Los Alamos National Laboratory, Los Alamos, NM, and Brigham Young University, Provo, UT, unpublished research, 1992.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Baudin, T., Penelle, R. Determination of the Total Texture Function from Individual Orientation Measurements by Electron Backscattering Pattern. Metall Trans A 24, 2299–2311 (1993). https://doi.org/10.1007/BF02648603
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02648603