Residual stress analysis in industrial parts: a comprehensive comparison of XRD methods
Source abstract
Abstract
Abstract A recently emerged XRD-based cosα residual stress measurement method, which utilizes imaging plate detectors, has attracted special attention from both academia and industry. There are uncertainties about to which extent the method could be used and about the accuracy of the measurements when analyzing industrial components. This work investigates the accuracy of the method by targeting four common types of material structures for the XRD experiments: preferred orientation of the microstructure (texture effect), coarse grain microstructure (coarse grain effect), a combination of both, and materials with steep lateral or in-depth residual stress gradients. The analysis was carried out by the conventionally used sin2ψ and the newly developed cosα methods on ferritic and austenitic steels, aluminum alloys, and SiSiC ceramics. The results indicate that both methods are reliable in most cases. However, cosα method has higher uncertainties and is more sensitive to the initial microstructure of the material.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Welding Techniques and Residual Stresses · Metal and Thin Film Mechanics · Non-Destructive Testing Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (37)
Show source-provided references
1. Schubert A, Kämpfe B, Goldenbogen S (1997) X-ray stress analysis by use of an area detector. Textures Microstruct 29:53–64. https://doi.org/10.1155/tsm.29.5310.1155/tsm.29.53 ↗
2. Schajer GS (2013) Practical residual stress measurement methods. Wiley, Chichester10.1002/9781118402832 ↗
3. Hauk V (1997) Structural and residual stress analysis by nondestructive methods. Elsevier, Amsterdam
4. Withers PJ (2007) Residual stress and its role in failure. Reports Prog Phys 70:2211–2264. https://doi.org/10.1088/0034-4885/70/12/R0410.1088/0034-4885/70/12/R04 ↗
5. Cullity BD, Stock SR (2014) Elements of X-ray diffraction, 3rd edn. Pearson Education Limited, Harlow
6. Taira S, Tanaka K, Yamasaki T (1978) A method of X-ray microbeam measurement of local stress an its application to fatigue crack growth problems. J Soc Mater Sci 27(294):251–25610.2472/jsms.27.251 ↗
7. Tanaka K (2019) The cosα method for X-ray residual stress measurement using two-dimensional detector. Mech Eng Rev 6:18–00378–18-00393. https://doi.org/10.1299/mer.18-0037810.1299/mer.18-00378 ↗
8. Lester HH, Aborn RH (1925) Behaviour under stress of iron crystal in steel. Army Ordnance 6:120–127
9. Glocker R, Osswald E (1935) Unique determination of the principal stresses with X-rays. Z Tech Phys 16:237–242
10. Dölle H, Hauk V (1976) Röntgenographische spannungsermittlung für eigenspannungssysteme allgemeiner orientierung. HTM J Heat Treat Mater 31:165–16810.1515/htm-1976-310307 ↗
11. Winholtz RA, Cohen JB (1988) Generalized least-squares determination of Triaxial stress states by X-ray-diffraction and the associated errors. Aust J Phys 41:189–19910.1071/PH880189 ↗
12. Schröder J, Evans A, Mishurova T et al (2021) Diffraction-based residual stress characterization in laser additive manufacturing of metals. Metals (Basel) 11:1830–1864. https://doi.org/10.3390/met1111183010.3390/met11111830 ↗
13. Luo Q (2022) A modified X-ray diffraction method to measure residual normal and shear stresses of machined surfaces. Int J Adv Manuf Technol 119(5–6):3595–3606. https://doi.org/10.1007/s00170-021-08645-410.1007/s00170-021-08645-4 ↗
14. Pineault J, Belassel M, Brauss M (2002) X-ray diffraction residual stress measurement in failure analysis. In: ASM metals handbook volume 11-failure analysis and prevention. ASM International, Materials Park, OH, USA, 484–49710.31399/asm.hb.v11.a0003528 ↗
15. Baczmanski A, Lark RJ, Skrzypek SJ (2002) Application of non-linear sin2ψ method for stress determination using X-ray diffraction. In: Residual stresses VI, ECRS6. Trans Tech Publications Ltd, 29–3410.4028/www.scientific.net/MSF.404-407.29 ↗
16. Sarmast A, Schubnell J, Farajian M (2022) Finite element simulation of multi-layer repair welding and experimental investigation of the residual stress fields in steel welded components. Weld World 66:1275–1290. https://doi.org/10.1007/s40194-022-01286-510.1007/s40194-022-01286-5 ↗
17. Miyazaki T, Sasaki T (2016) A comparison of X-ray stress measurement methods based on the fundamental equation. J Appl Crystallogr 49:426–432. https://doi.org/10.1107/S160057671600049210.1107/S1600576716000492 ↗
18. Lee SY, Ling J, Wang S, Ramirez-Rico J (2017) Precision and accuracy of stress measurement with a portable X-ray machine using an area detector. J Appl Crystallogr 50:131–144. https://doi.org/10.1107/S160057671601891410.1107/S1600576716018914 ↗
19. Scherrer P (1918) Bestimmung der Größe und der inneren Struktur von Kolloidteilchen mittels Röntgenstrahlen, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Math Klasse 1918:98–100
20. Williamson GK, Hall WH (1953) X-ray broadening from filed aluminium and tungsten. Acta Metall 1:22–3110.1016/0001-6160(53)90006-6 ↗
21. Weidenthaler C (2011) Pitfalls in the characterization of nanoporous and nanosized materials. Nanoscale 3:792–810. https://doi.org/10.1039/c0nr00561d10.1039/c0nr00561d ↗
22. Beyer J, Roth N, Brummerstedt Iversen B (2022) Effects of Voigt diffraction peak profiles on the pair distribution function. Acta Crystallogr Sect A, Found Adv 78:10–20. https://doi.org/10.1107/S205327332101184010.1107/S2053273321011840 ↗
23. Howard CJ (1982) The approximation of asymmetric neutron powder diffraction peaks by sums of Gaussians. J Appl Crystallogr 15:615–620. https://doi.org/10.1107/S002188988201278310.1107/S0021889882012783 ↗
24. Finger LW, Cox DE, Jephcoat AP (1994) A correction for powder diffraction peak asymmetry due to axial divergence. J Appl Crystallogr 27:892–900. https://doi.org/10.1107/S002188989400421810.1107/S0021889894004218 ↗
25. Monshi A, Foroughi MR, Monshi MR (2012) Modified Scherrer equation to estimate more accurately nano-crystallite size using XRD. World J Nano Sci Eng 02:154–160. https://doi.org/10.4236/wjnse.2012.2302010.4236/wjnse.2012.23020 ↗
26. Schmid M, Steinrück H, Gottfried JM (2014) A new asymmetric Pseudo-Voigt function for more efficient fitting of XPS lines. Surf Interface Anal 46:505–511. https://doi.org/10.1002/sia.552110.1002/sia.5521 ↗
27. Kumar A, Welzel U, Mittemeijer EJ (2006) A method for the non-destructive analysis of gradients of mechanical stresses by X-ray diffraction measurements at fixed penetration/information depths. J Appl Crystallogr 39:633–646. https://doi.org/10.1107/S002188980602341710.1107/S0021889806023417 ↗
28. Luo Q, Jones AH (2010) High-precision determination of residual stress of polycrystalline coatings using optimised XRD-sin2ψ technique. Surf Coat Technol 205:1403–1408. https://doi.org/10.1016/j.surfcoat.2010.07.10810.1016/j.surfcoat.2010.07.108 ↗
29. Tanaka K (2018) X-ray measurement of triaxial residual stress on machined surfaces by the cosα method using a two-dimensional detector. J Appl Crystallogr 51:1329–1338. https://doi.org/10.1107/S160057671801105610.1107/S1600576718011056 ↗
30. Erbacher T, Wanner A, Beck T, Vöhringer O (2008) X-ray diffraction at constant penetration depth-a viable approach for characterizing steep residual stress gradients. J Appl Crystallogr 41:377–385. https://doi.org/10.1107/S002188980706683610.1107/S0021889807066836 ↗
31. Ramirez-Rico J, Lee SY, Ling JJ, Noyan IC (2016) Stress measurement using area detectors: a theoretical and experimental comparison of different methods in ferritic steel using a portable X-ray apparatus. J Mater Sci 51:5343–5355. https://doi.org/10.1007/s10853-016-9837-310.1007/s10853-016-9837-3 ↗
32. Peterson N, Kobayashi Y, Sanders P (2017) Assessment and validation of cosα method for residual stress measurement. In: 13th inernational conference on shot peening, 80–86
33. Delbergue D, Texier D, Bocher P, et al (2016) Comparison of two X-ray residual stress measurement methods : sin2ψ and cosα , through the determin ation of a martensitic steel X-ray elastic constant. In: Residual stresses 2016: ICRS-10. 55–60
34. Kohri A, Takaku Y, Nakashiro M (2016) Comparison of X-ray residual stress measurement values by cosα method and sin2Ψ method. In: Residual Stresses 2016: ICRS-10. 103–108
35. Andurkar M, Suzuki T, Prorok BC, et al (2021) Residual stress measurements via X-ray diffraction cosα method on various heat-treated Inconel 625 specimens fabricated via laser-powder bed fusion. In: 32nd International Solid Freeform Fabrication Symposium, 1048–1060
36. Braun M, Schubnell J, Sarmast A et al (2023) Mechanical behavior of additively and conventionally manufactured 316L stainless steel plates joined by gas metal arc welding. J Mater Res Technol 24:1692–1705. https://doi.org/10.1016/j.jmrt.2023.03.08010.1016/j.jmrt.2023.03.080 ↗
37. Schubnell J, Sarmast A, Altenhöner F, et al (2022) Residual stress analysis of butt welds made of additively and traditionally manufactured 316L stainless steel plates. In: ICRS11-11th international conference on residual stresses. Nancy, France