Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-26T19:40:51.642Z Has data issue: false hasContentIssue false
  • English
  • Français

Comparison of several methods for the reproduction of the orientation distribution function from pole figures in medium to strong textured materials

Published online by Cambridge University Press:  15 August 2001

F. Caleyo ,
T. Baudin ,
M. H. Mathon  and
R. Penelle
F. Caleyo*
Affiliation:
Instituto Nacional de Investigaciones Nucleares, Departamento de Física. AP 18-1027, Col. Escandón, México 11801, DF, México
T. Baudin
Affiliation:
Laboratoire de Physico-Chimie de l'État Solide (UMR CNRS 8648), Bâtiment 410, Université de Paris-Sud, 91405 Orsay Cedex, France
M. H. Mathon
Affiliation:
Laboratoire Léon Brillouin (CEA-CNRS), CEN Saclay, 91191 Gif-sur-Yvette Cedex, France
R. Penelle
Affiliation:
Laboratoire de Physico-Chimie de l'État Solide (UMR CNRS 8648), Bâtiment 410, Université de Paris-Sud, 91405 Orsay Cedex, France
*
victoria@esfm.ipn.mx
Get access

Abstract

A quantitative comparison of the errors introduced by several methods for the reproduction of the crystallographic orientation distribution function from poles figures is presented. The harmonic, ADC, WIMV and component methods have been employed in the characterization of the deformation and recrystallization textures of a Fe-50% Ni alloy in order to investigate the accuracy associated with each one of these methods. To carry out this study, experimental and synthetic pole figures have been used as input data. The strong and weak points of each method are examined showing that the iterative discrete methods (ADC and WIMV) are better suited for the reproduction of the texture function in the present case. In comparing these two discrete methods, it is evidenced that the ADC method reproduces more accurately both the experimental and synthetic texture functions over the entire range of texture sharpness considered.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 15 , Issue 2 , August 2001 , pp. 85 - 96
Copyright
© EDP Sciences, 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

H.J. Bunge, Texture Analysis in Material Science (Butterworths and Co., London, 1982).
Humbert, M., Wargner, F., Philippe, M.J., Esling, C., Text. Microstruct. 14-18, 443 (1991). CrossRef
T. Baudin, R. Penelle, in The Iron-Nickel Alloys, edited by G. Béranger, F. Duffaut, J. Morlet, J.F. Tiers (Lavoisier Publishing, Paris, 1995).
R. Thoms, in The Iron-Nickel Alloys, edited by G. Béranger, F. Duffaut, J. Morlet, J.F. Tiers (Lavoisier Publishing, Paris, 1995).
Lücke, K., Pospiech, J., Virnich, K.H., Jura, J., Acta Metall. Mater. 29, 167 (1981). CrossRef
Roe, R.J., J. Appl. Phys. 36, 2024 (1965). CrossRef
H.J. Bunge, in Quantitative Texture Analysis, edited by H. Bunge (Deutsche Gesellschaft für Metallkunde, 1982).
Dervin, P., Penelle, R., Mém. Et. Sci. Rev. Mét. 86, 729 (1989).
Baudin, T., Penelle, R., Ceccaldi, D., Royer, F., Mém. Et. Sci. Rev. Mét. 87, 611 (1990).
Williams, R.D., J. Appl. Phys. 39, 4329 (1968). CrossRef
D. Ruer, Ph.D. thesis, University of Metz, France, 1976.
Ruer, D., Baro, R., J. Appl. Cryst. 10, 458 (1977). CrossRef
A. Vadon, Ph.D. thesis, University of Metz, France, 1981.
Imohf, J., Text. Microstruct. 5, 73 (1982). CrossRef
Matthies, S., Phys. Stat. Sol. B 92, K135 (1979). CrossRef
Matthies, S., Vinel, G.W., Phys. Stat. Sol. B 112, K111 (1982). CrossRef
Pawlik, K., Phys. Stat. Sol. B 134, 477 (1986). CrossRef
K. Pawlik, J. Pospiech, in Theoretical Methods of Texture Analysis, edited by H.J. Bunge (DGM, Oberrursel, 1987), p. 127.
Schäeben, H., J. Appl. Phys. 64, 2236 (1988). CrossRef
Wang, F., Xu, J., Liang, Z., Text. Microstruct. 10, 217 (1988).
Pawlik, K., Pospiech, J., Lücke, K., Text. Microstruct. 14-18, 25 (1991). CrossRef
W. Truszkowsk, J. Pospiech, J. Jura, B. Major, 3e Colloque Européen sur les Textures de Déformation et de Recristallisation des Métaux et leurs Applications Industrielles, Pont à Mousson, 1973, p. 235.
J. Pospiech, K. Lücke, J. Jura, in Proceedings of the 6th ICOTOM, Tokyo, Japan, September 28-October 3, 1981, edited by S. Nagashima (The Iron and Steel Institute of Japan, 1981), Vol. 2, p. 1390.
J. Pospiech, J. Jura, K. Lücke, J. Hirsch, in Proceedings of the 7th ICOTOM, Noodwijkerhout, The Netherlands, September 17-21, 1984, edited by C.M. Brakman, P. Jongenburger, E.J. Mittemeijer (Netherlands Society of Materials Science, 1984), p. 817.
Lücke, K., Pospiech, J., Jura, J., Hirch, J., Z. Metallkd. 77, 312 (1986).
S. Matthies, G.W. Vinel, K. Helming, Standard Distributions in Texture Analysis (Ak.- Verlag Berlin, 1987).
Helming, K., Eschner, T., Cryst. Res. Technol. 25, K203 (1990). CrossRef
Helming, K. et al., Z. Mettalkd. 85, 545 (1994).
Helming, K., Rauschenbach, B., Schwarzer, R.A., Text. Microstruct. 26-27, 111 (1996). CrossRef
Helming, K., Mater. Sci. Forum 273-275, 125 (1998). CrossRef
C. Esling, H.J. Bunge, M.J. Philippe, J. Muller, in Theoretical Methods of Texture Analysis, edited by H.J. Bunge (DGM, Oberrursel, 1987), p. 105.
Matthies, S., Wenk, H.R., Vinel, G.W., J. Appl. Cryst. 21, 285 (1988). CrossRef
Wenk, H.R., Pawlik, K., Pospiech, J., Kallend, J.S., Text. Microstruct. 22, 233 (1994). CrossRef
Bacroix, B., Chauveau, Th., Gargano, P., Pochettino, A.A., Mater. Sci. Forum 157-162, 301 (1994). CrossRef
C. Esling. Ph.D. thesis, University of Metz, France, 1981.
Esling, C., Bechler-Ferry, E., Bunge, H., J. Phys. Lett. 42, 141 (1981). CrossRef
M. Humbert, H. Bunge, in Quantitative Texture Analysis, edited by. H. Bunge (Deutsche Gesellschaft für Metallkunde, 1982).
Van Houtte, P., Text. Microstruct. 6, 1 (1983). CrossRef
Van Houtte, P., Text. Microstruct. 13, 199 (1991). CrossRef
Dahms, M., Bunge, H., Text. Microstruct. 10, 21 (1988). CrossRef
Wagner, F., Humbert, M., Esling, C., Muller, J., Text. Microstruct. 14-18, 45 (1995).
J. Pospiech, in Theoretical Methods of Texture Analysis, edited by H.J. Bunge (DGM, Oberrursel, 1987), p. 95.
J. Pospiech, in Proceedings of the 8th ICOTOM, Santa Fe, New Mexico, September 20-25, 1988, edited by J.S. Kallend, G. Gottstein (The Metallurgical Society, 1988), p. 93.
Wenk, H.R., Matthies, S., Donovan, J., Chateigner, D., J. Appl. Cryst. 31, 262 (1998). CrossRef
Hirsch, J., Lücke, K., Acta Metall. Mater. 36, 2863 (1988). CrossRef