Determination of Stress Gradients by X-ray Diffraction: Comparison of Different Methods and Applications
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Stéphanie Bein
Abstract
The paper presents a review of the main theoretical formulations of the analysis of steep stress gradients by X-ray diffraction and a comparison of calculations with experimentally applied stresses in a four-point bending test on a beryllium specimen. The comparison between theoretical approaches and experiments is therefore limited to uniaxial linear stress gradients. It shows that, in this case, only an evaluation of stress gradient can be obtained from the analysis of X-ray diffraction measurements even when experiments are performed very carefully. In this direction, very complex formulations could often not be necessary. Then, a summary of advantages and drawbacks of each theoretical approach is presented. Finally, for different forms of stress gradients, the paper proposes the most convenient formalism and experimental technique to be used.
The authors gratefully acknowledge the team of LURE laboratory (Orsay) for allowing the use of synchrotron radiation and for valuable help in performing the experiments. The authors also acknowledge P. Gergaud for stimulating discussions and developments about GIXD formulae and C. Saifoudine for participating in the experimentations.
Literature
1 Dölle, H.: J. Appl. Cryst. 12 (1979) 489–501.10.1107/S0021889879013169Search in Google Scholar
2 Sprauel, J.M.; Barred, M.; Torbaty, S.: Advances in X-ray analysis, Plenum Press, New-York 26 (1983) 217–224.10.1154/S0376030800012519Search in Google Scholar
3 Eigenmann, B.; Schottes, B.; Macherauch, E.: ICRS3, Elsevier Applied Science, London/New York 1 (1992) 601–606.Search in Google Scholar
4 Sasaki, T; Kuramoto, M.; Yoshioka, Y:Advances in X-ray analysis, Plenum Press, New York 28 (1985) 255–264.10.1154/S0376030800014063Search in Google Scholar
5 Sasaki, T; Kuramoto, M.; Yoshioka, Y:Advances in X-ray analysis, Plenum Press, New York 28 (1985) 265–274.10.1154/S0376030800014075Search in Google Scholar
6 Eckhardt, M.; Ruppersberg, H.:Z. Metallkd. 79 (1988) 662–666.Search in Google Scholar
7 Ruppersberg, H. et al:phys. stat. sol. (1989) 681–687.10.1002/pssa.2211160226Search in Google Scholar
8 Shibano, J.; Ukai, T:as Ref. [3] 601–606.Search in Google Scholar
9 Ji, N.; Lebrun, J.L; Obadia, S.: as Ref. [3] 397–402.Search in Google Scholar
10 Lebrun, J.L.; Bonnet, C.; Brousse, D.; Girard, G.; Francois, M.: as Ref. [3] 638–643.Search in Google Scholar
11 Eigenmann, B. ; Macherauch, E.:Nucl. Instr. and Meth. in Physics Res. B (1995) 92–97.10.1016/0168-583X(94)00410-2Search in Google Scholar
12 Leverenz, I; Eigenmann, B.; Macherauch, E.: Z. Metallkd. 87 (1996) 283–297.Search in Google Scholar
13 Hauk, V.; Krug, W.K.:ICRS, DGM, Oberarsel (1987) 303–310.Search in Google Scholar
14 Fillit, R. Y.; Perry, A.J.:Surface and coatings technology 36 (1988) 647–659.10.1016/0257-8972(88)90006-0Search in Google Scholar
15 Doerner, M.F.; Brennan, S.:J. Appl. Phys. 63 (1988) 126–131.10.1063/1.340503Search in Google Scholar
16 Shut, C.J.; Cohen, J.B.:J. Appl. Phys. 70 (1991) 2104–2110.10.1063/1.349446Search in Google Scholar
17 de Buyser, L.; van Houtte, P.; Aemoudt, E.:ICRS3, Elsevier, London, New York 1 (1992) 921–926.Search in Google Scholar
18 Predecki, P; Zhu, X.; Ballrad, B.:Advances in X-ray analysis, Plenum Press, New York 36 (1993) 237–244.10.1154/S037603080001884XSearch in Google Scholar
19 Zhu, X.; Predecki, P.:Advances in X-ray analysis, Plenum Press, New York 37 (1994) 197-203.10.1154/S037603080001569XSearch in Google Scholar
20 Kröner, E.:Z. Phys. 151 (1958) 504–518.10.1007/BF01337948Search in Google Scholar
21 Noyan, I.C.; Cohen, J.B.:Residual Stress Measurements by Diffraction, Springer-Verlag, New York (1987).Search in Google Scholar
© 1998 Carl Hanser Verlag, München
Articles in the same Issue
- Frontmatter
- Aufsätze
- Kinetics of Phase Separation in a Hypermonotectic Al–Pb Alloy
- Liquid–Liquid Interfacial Tension in the Demixing Metal Systems Ga–Hg and Ga–Pb
- Preparation, Structure and Physical Properties of Fe-, Co- and Ni-rich Melt-quenched Ribbons Containing Zr or Hf – Part IV: Thermal Stability; DSC, TEM and Thermomagnetic Studies
- Fractal Aggregation in MgO-B2O3-SiO2 Slag
- Phase Equilibria of the Decagonal AlCoNi Phase
- Free Energy of Mixing and Vapour Pressure of Liquid Ga-As, In-As, Ga-P and In-P Alloys
- Phase Equilibria in the Dy–Fe–Nd System at 500 °C
- Determination of Stress Gradients by X-ray Diffraction: Comparison of Different Methods and Applications
- Non-Linear Denoising with Wavelet Transformation
- Effect of Cold Working and Annealing on Grain Size and Hardness of a Zr-2.5Nb Alloy
- Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
- Personen
- Buchbesprechungen
- Terminkalender
Articles in the same Issue
- Frontmatter
- Aufsätze
- Kinetics of Phase Separation in a Hypermonotectic Al–Pb Alloy
- Liquid–Liquid Interfacial Tension in the Demixing Metal Systems Ga–Hg and Ga–Pb
- Preparation, Structure and Physical Properties of Fe-, Co- and Ni-rich Melt-quenched Ribbons Containing Zr or Hf – Part IV: Thermal Stability; DSC, TEM and Thermomagnetic Studies
- Fractal Aggregation in MgO-B2O3-SiO2 Slag
- Phase Equilibria of the Decagonal AlCoNi Phase
- Free Energy of Mixing and Vapour Pressure of Liquid Ga-As, In-As, Ga-P and In-P Alloys
- Phase Equilibria in the Dy–Fe–Nd System at 500 °C
- Determination of Stress Gradients by X-ray Diffraction: Comparison of Different Methods and Applications
- Non-Linear Denoising with Wavelet Transformation
- Effect of Cold Working and Annealing on Grain Size and Hardness of a Zr-2.5Nb Alloy
- Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
- Personen
- Buchbesprechungen
- Terminkalender
