No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Simultaneous determination of the strain/stress tensor and the unstrained lattice constants by x‐ray diffraction
1.V. Hauk and E. Macherauch, Adv. X-Ray Anal. 27, 81 (1984).
2.I. C. Noyan and J. B. Cohen, Residual Stress (Springer, Berlin, 1987).
3.V. Hauk and Härtereitech. Mitt. 50, 138 (1995).
4.B. Eigenmann and E. Macherauch, Materialwiss. Werkstofftech. 26, 148 (1995).
5.In the most general case (triclinic lattice), three lattice constants and three elementary cell angles have to be determined. Since the present examples concern only cubic and hexagonal lattices, the are not mentioned further on.
6.I. I. C. Noyan, Adv. X-Ray Anal. 28, 281 (1985).
7.V. Hauk, Härtereitech. Mitt. 46, 52 (1991).
8.T. Wieder, Thin Solid Films 256, 39(1995).
9.T. Wieder, J. Appl. Phys. 78, 838(1995).
10.G. E. Dieter, Mechanical Metallurgy (McGraw–Hill, London, 1988).
11. For cubic material it is and let be the absolute error for as function of . Also, is the absolute error of and the error of . From mathematical handbooks (see Ref. 16) one knows the rule . Then, with , Let be in the order of 1% of , as stated in the argument. Thus, . Furthermore, let differ only by 1% form , as in the argument. Thus, . Then Now, is the absolute error of , not a relative error. Thus, the approximation will fake a strain of 0.01 which is in the order of elastic strains.
12.The well-known sin2 ψlaw is the most important example for the general transformation equation and follows from Eq. (7) for .
13.T. Wieder, Comput. Phys. Commun. 85, 398(1995).
14.The minimization has been included into the computer program SBGBBG; a previous version is described in Ref. 13.
15. is given by the lattice vectors , , . Variation of the data with respect to is gained by using as much as possible different reflections.
16.I. N. Bronstein and K. A. Semendjajew, Taschenbuch der Mathematik (Harri Deutsch, Frankfurt, 1980).
17.J. Zendehroud, T. Wieder, and H. Klein, Materialwiss. Werkstofftech. 26, 553 (1995).
18.K. Van Acker,L. De Buyser,J. P. Celis, andP. Van Houtte, J. Appl. Crystallogr. 27, 56(1994).
19.Landolt–Börnstein (Springer, Berlin, 1971), Vol. II.1.1.
Article metrics loading...
Full text loading...
Most read this month
Most cited this month