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Depth-resolved residual stress evaluation from X-ray diffraction measurement data using the approximate inverse method

  • T. Schuster , J. Plöger and A. K. Louis EMAIL logo
Published/Copyright: February 4, 2022
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Abstract

The paper deals with the depth determination of residual stress states from diffraction data. First an historical overview of the known approaches is given. Then we apply the approximate inverse method to this problem. This method is known to be very efficient and stable with respect to noise-contaminated data. It is even possible to prove convergence and it allows an error estimate of the calculated depth resolved residual stress profile.


Prof. Alfred K. Louis Fachrichtung Mathematik Universität des Saarlandes Postfach 15 11 50, D-66041 Saarbrücken, Germany Tel.: +49 681 302 3018 Fax: +49 681 302 4435

References

[03Sch] T. Schuster: To appear in Inverse and Ill-Posed Problems 11 (3) (2003).10.1515/156939403769237051Search in Google Scholar

[00Beh] H. Behnken, V. Hauk, in: Proc. ICRS, July 10–12, 2000, Oxford, Institute of Materials, London (2000) 277.Search in Google Scholar

[97Wer] H. Wern: Adv. in X- Ray Analysis 40 (1997) 226.10.1007/BF03042916Search in Google Scholar

[96Lou] A. Louis: Inverse Problems 12 (1996) 175.10.1088/0266-5611/12/2/005Search in Google Scholar

[96Lev] T. Leverenz, B. Eigenmann, E. Macherauch: Z. Metallkd. 87 (1996) 616.10.1515/ijmr-1996-870802Search in Google Scholar

[95Zhu] X. Zhu, P. Predecki, B. Ballard: Adv. in X- Ray Analysis 38 (1995) 255.10.1154/S0376030800017869Search in Google Scholar

[94Zhu] X. Zhu, P. Predecki: Adv. in X-Ray Analysis 37 (1994) 197.10.1154/S037603080001569XSearch in Google Scholar

[94Här] M. Härting: Ph. D. Thesis, Bundeswehr University Munich (1994).Search in Google Scholar

[94Gen] C. Genzel: phys. stat. sol. (a) 146 (1994) 629.10.1002/pssa.2211460208Search in Google Scholar

[93Pre] P. Predecki: Powder Diffraction 8 (2) (1993) 12210.1017/S0885715600017954Search in Google Scholar

[92Rup] H. Ruppersberg: Adv. in X- Ray Analysis 35 (1992) 481.10.1154/S0376030800009162Search in Google Scholar

[92Eig] B. Eigenmann, B. Scholtes, E. Macherauch, in: H. Fujiwara, T. Abe, K. Tanaka (Eds.), Residual Stresses III, Elsevier Applied Science Forum (1992) 601.Search in Google Scholar

[90Lou] A. Louis, P. Mass: Inverse Problems 6 (1990) 427.10.1088/0266-5611/6/3/011Search in Google Scholar

[89Oet] H. Oettel: Neue Hütte 34 (1989) 111.10.1016/0090-4295(89)90177-5Search in Google Scholar

[88Hau] V. Hauk, K. Krug: HTM 43 (1988) 164.10.1515/htm-1988-430312Search in Google Scholar

[84Hau] V. Hauk, K. Krug: HTM 39 (1984) 273.10.1515/htm-1984-390604Search in Google Scholar

[80Pei] A. Peiter, W. Lode: Materialprüfung 22 (1980) 288.10.1515/mt-1980-220705Search in Google Scholar

[48Oss] E. Oßwald: Z. Metallkd. 39 (1948) 279.10.1515/ijmr-1948-390904Search in Google Scholar

Received: 2002-11-14
Published Online: 2022-02-04

© 2003 Carl Hanser Verlag, München

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