Experimental and numerical investigation of the deep rolling process focussing on 34CrNiMo6 railway axles
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Abstract
Abstract Deep rolling is a powerful tool to increase the service life or reduce the weight of railway axles. Three fatigue-resistant increasing effects are achieved in one treatment: lower surface roughness, strain hardening and compressive residual stresses near the surface. In this work, all measurable changes introduced by the deep rolling process are investigated. A partly deep-rolled railway axle made of high strength steel material 34CrNiMo6 is investigated experimentally. Microstructure analyses, hardness-, roughness-, FWHM- and residual stress measurements are performed. By the microstructure analyses a very local grain distortion, in the range < 5 µm, is proven in the deep rolled section. Stable hardness values, but increased strain hardening is detected by means of FWHM and the surface roughness is significantly reduced by the process application. Residual stresses were measured using the XRD and HD methods. Similar surface values are proven, but the determined depth profiles deviate. Residual stress measurements have generally limitations when measuring in depth, but especially their distribution is significant for increasing the durability of steel materials. Therefore, a numerical deep rolling simulation model is additionally built. Based on uniaxial tensile and cyclic test results, examined on specimen machined from the edge layer of the railway axle, an elastic–plastic Chaboche material model is parameterised. The material model is added to the simulation model and so the introduced residual stresses can be simulated. The comparison of the simulated residual stress in-depth profile, considering the electrochemical removal, shows good agreement to the measurement results. The so validated simulation model is able to determine the prevailing residual stress state near the surface after deep rolling the railway axle. Maximum compressive residual stresses up to about -1,000 MPa near the surface are achieved. The change from the induced compressive to the compensating tensile residual stress range occurs at a depth of 3.5 mm and maximum tensile residual stresses of + 100 MPa at a depth of 4 mm are introduced. In summary, the presented experimental and numerical results demonstrate the modifications induced by the deep rolling process application on a railway axle and lay the foundation for a further optimisation of the deep rolling process.
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Research context
OpenAlex topics: Surface Treatment and Residual Stress · Metal Alloys Wear and Properties · Microstructure and Mechanical Properties of Steels
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References (90)
Show source-provided references
1. Betzold J, Pucelik J, Eisenberg S (2007) Eigenspannungen als Messgröße zur Qualitätssicherung: Residual stress as measured quantity in quality assurance. Materialwiss Werkstofftech 38(4):263–273. https://doi.org/10.1002/mawe.20070013310.1002/mawe.200700133 ↗
2. Rieger M, Moser C, Brunnhofer P, Simunek D, Weber F-J, Deisl A, Gänser H-P, Pippan R, Enzinger N (2019) Fatigue crack growth in full-scale railway axles – Influence of secondary stresses and load sequence effects. Int J Fatigue 132(2020):105360. https://doi.org/10.1016/j.ijfatigue.2019.10536010.1016/j.ijfatigue.2019.105360 ↗
3. Simunek D, Leitner M, Maierhofer J, Gänser H-P, Pippan R (2019) Analytical and Numerical Crack Growth Analysis of 1:3 Scaled Railway Axle Specimens. Metals 9(2):184. https://doi.org/10.3390/met902018410.3390/met9020184 ↗
4. Ecoroll AG. Basic principles of deep rolling. https://www.ecoroll.de/en/processes/deep-rolling.html
5. Mahmoudi AH, Ghasemi A, Farrahi GH, Sherafatnia K (2016) A comprehensive experimental and numerical study on redistribution of residual stresses by shot peening. Mater Des 90:478–487. https://doi.org/10.1016/j.matdes.2015.10.16210.1016/j.matdes.2015.10.162 ↗
6. Röttger K, Wilcke G, Mader S (2005) Festwalzen - eine Technologie für effizienten Leichtbau. Materialwiss Werkstofftech 36(6):270–274. https://doi.org/10.1002/mawe.20050087610.1002/mawe.200500876 ↗
7. Schulze V (2006) Modern mechanical surface treatment: States, stability, effects, Zugl.: Karlsruhe, Univ, Habil.-Schr, 2004. Wiley-VCH, Weinheim10.1002/3527607811 ↗
8. Altenberger I (2005) “Deep Rolling - The Past, the Present and the Future”. University of Kassel, Institute of Materials Engineering, Monchebergstrasse 3, 34125 Kassel. Germany 2005:144–155
9. Delgado P, Cuesta II, Alegre JM, Díaz A (2016) State of the art of Deep Rolling. Precis Eng 46:1–10. https://doi.org/10.1016/j.precisioneng.2016.05.00110.1016/j.precisioneng.2016.05.001 ↗
10. Hadadian A (2019) Finite element analysis and design optimization of deep cold rolling of titanium alloy at room and elevated temperatures. PhD Thesis. Concordia University, Montreal, Quebec, Canada
11. Gao J-W, Dai X, Zhu S-P, Zhao J-W, Correia J A.F.O., Wang Q (2022) Failure causes and hardening techniques of railway axles – A review from the perspective of structural integrity. Eng Fail Anal 141:106656. https://doi.org/10.1016/j.engfailanal.2022.10665610.1016/j.engfailanal.2022.106656 ↗
12. Hassani-Gangaraj SM, Carboni M, Guagliano M (2015) Finite element approach toward an advanced understanding of deep rolling induced residual stresses, and an application to railway axles. Mater Des 83:689–703. https://doi.org/10.1016/j.matdes.2015.06.02610.1016/j.matdes.2015.06.026 ↗
13. Maierhofer J, Gänser H-P, Pippan R (2014) Prozessmodell zum Einbringen von Eigenspannungen durch Festwalzen. Materialwiss Werkstofftech 45(11):982–989. https://doi.org/10.1002/mawe.20140027610.1002/mawe.201400276 ↗
14. Regazzi D, Beretta S, Carboni M (2014) An investigation about the influence of deep rolling on fatigue crack growth in railway axles made of a medium strength steel. Eng Fract Mech 131:587–601. https://doi.org/10.1016/j.engfracmech.2014.09.01610.1016/j.engfracmech.2014.09.016 ↗
15. Regazzi D, Cantini S, Cervello S, Foletti S, Pourheidar A, Beretta S (2020) Improving fatigue resistance of railway axles by cold rolling: Process optimisation and new experimental evidences. Int J Fatigue 137:105603. https://doi.org/10.1016/j.ijfatigue.2020.10560310.1016/j.ijfatigue.2020.105603 ↗
16. Berstein G, Fuchsbauer B (1982) Festwalzen und Schwingfestigkeit. Z Werkstofftechnik 1982(13):103–10910.1002/mawe.19820130309 ↗
17. Huang J, Zhang K-M, Jia Y-F, Zhang C-C, Zhang X-C, Ma X-F, Tu S-T (2019) Effect of thermal annealing on the microstructure, mechanical properties and residual stress relaxation of pure titanium after deep rolling treatment. J Mater Sci Technol 35(3):409–417. https://doi.org/10.1016/j.jmst.2018.10.00310.1016/j.jmst.2018.10.003 ↗
18. Beghini M, Bertini L, Monelli BD, Santus C, Bandini M (2014) Experimental parameter sensitivity analysis of residual stresses induced by deep rolling on 7075–T6 aluminium alloy. Surf Coat Technol 254:175–186. https://doi.org/10.1016/j.surfcoat.2014.06.00810.1016/j.surfcoat.2014.06.008 ↗
19. Schubnell J, Farajian M (2022) Fatigue improvement of aluminium welds by means of deep rolling and diamond burnishing. Welding in the World 66(4):699–708. https://doi.org/10.1007/s40194-021-01212-110.1007/s40194-021-01212-1 ↗
20. Abrão AM, Denkena B, Köhler J, Breidenstein B, Mörke T (2014) The Influence of Deep Rolling on the Surface Integrity of AISI 1060 High Carbon Steel. Procedia CIRP 13:31–36. https://doi.org/10.1016/j.procir.2014.04.00610.1016/j.procir.2014.04.006 ↗
21. Gharbi K, Moussa NB, Rhouma AB, Fredj NB (2021) Improvement of the corrosion behavior of AISI 304L stainless steel by deep rolling treatment under cryogenic cooling10.21203/rs.3.rs-329725/v1 ↗
22. Muñoz-Cubillos J, Coronado JJ, Rodríguez SA (2017) Deep rolling effect on fatigue behavior of austenitic stainless steels. Int J Fatigue 95:120–131. https://doi.org/10.1016/j.ijfatigue.2016.10.00810.1016/j.ijfatigue.2016.10.008 ↗
23. Perenda J, Trajkovski J, Žerovnik A, Prebil I (2015) Residual stresses after deep rolling of a torsion bar made from high strength steel. J Mater Process Technol 218:89–98. https://doi.org/10.1016/j.jmatprotec.2014.11.04210.1016/j.jmatprotec.2014.11.042 ↗
24. Perenda J, Trajkovski J, Žerovnik A, Prebil I (2016) Modeling and experimental validation of the surface residual stresses induced by deep rolling and presetting of a torsion bar. IntJ Mater Form 9(4):435–448. https://doi.org/10.1007/s12289-015-1230-210.1007/s12289-015-1230-2 ↗
25. Chen S, Wang Z, Chakraborty A, Klecka M, Saunders G, Wen J (2020) Robotic Deep Rolling With Iterative Learning Motion and Force Control. IEEE Robotics and Automation Letters 5(4):5581–5588. https://doi.org/10.1109/LRA.2020.300907610.1109/LRA.2020.3009076 ↗
26. Dänekas C, Heikebrügge S, Schubnell J, Schaumann P, Breidenstein B, Bergmann B (2022) Influence of deep rolling on surface layer condition and fatigue life of steel welded joints. Int J Fatigue 162:106994. https://doi.org/10.1016/j.ijfatigue.2022.10699410.1016/j.ijfatigue.2022.106994 ↗
27. Denkena B, Kroedel A, Gartzke T (2022) Process design of a novel combination of peel grinding and deep rolling. Prod Eng Res Devel 16(4):503–512. https://doi.org/10.1007/s11740-021-01092-w10.1007/s11740-021-01092-w ↗
28. Maiß O, Denkena B, Grove T (2016) Hybrid machining of roller bearing inner rings by hard turning and deep rolling. J Mater Process Technol 230:211–216. https://doi.org/10.1016/j.jmatprotec.2015.11.02910.1016/j.jmatprotec.2015.11.029 ↗
29. Tsuji N, Tanaka S, Takasugi T (2008) Evaluation of surface-modified Ti–6Al–4V alloy by combination of plasma-carburizing and deep-rolling. Mater Sci Eng, A 488(1–2):139–145. https://doi.org/10.1016/j.msea.2007.11.07910.1016/j.msea.2007.11.079 ↗
30. Zmich R, Meyer D (2021) Thermal Effects on Surface and Subsurface Modifications in Laser-Combined Deep Rolling. J Manuf Mater Process 5(2):55. https://doi.org/10.3390/jmmp502005510.3390/jmmp5020055 ↗
31. Altenberger I, Nalla RK, Noster U, Scholtes B, Ritchie RO (2002) On the fatigue behavior and associated effect of residual stresses in deep-rolled and laser shock peened Ti-6Al-4V alloys at ambient and elevated temperatures
32. Altenberger I, Nalla RK, Sano Y, Wagner L, Ritchie RO (2012) On the effect of deep-rolling and laser-peening on the stress-controlled low- and high-cycle fatigue behavior of Ti–6Al–4V at elevated temperatures up to 550°C. Int J Fatigue 44:292–302. https://doi.org/10.1016/j.ijfatigue.2012.03.00810.1016/j.ijfatigue.2012.03.008 ↗
33. Meyer D (2012) Cryogenic deep rolling – An energy based approach for enhanced cold surface hardening. CIRP Ann 61(1):543–546. https://doi.org/10.1016/j.cirp.2012.03.10210.1016/j.cirp.2012.03.102 ↗
34. Deutsche Norm. DIN 743–2: Tragfähigkeitsberechnung von Wellen und Achsen: Teil 2: Formzahlen und Kerbwirkungszahlen. DIN 743–2 2012
35. Forschungskuratorium Maschinenbau (FKM) 2020. FKM-Richtlinie: Rechnerischer Festigkeitsnachweis für Maschinenbauteile: aus Stahl, Eisenguss- und Aluminiumwerkstoffen. FKM-Richtlinie
36. Kloos KH, Velten B (1984) Berechnung der Dauerschwingfestigkeit von plasmanitierten bauteilähnlichen Proben unter Berücksichtigung des Härte- und Eigenspannungsverlaufs. Konstruktion 1984(36):181–188
37. Saalfeld S, Oevermann T, Niendorf T, Scholtes B (2019) Consequences of deep rolling on the fatigue behavior of steel SAE 1045 at high loading amplitudes. Int J Fatigue 118:192–201. https://doi.org/10.1016/j.ijfatigue.2018.09.01410.1016/j.ijfatigue.2018.09.014 ↗
38. Moore MG, Evans WP (1956) Mathematical Correction for Stress in Removed Layers in X-Ray Diffraction Residual Stress Analysis. 1956 https://doi.org/10.4271/58003510.4271/580035 ↗
39. Savaria V, Bridier F, Bocher P (2012) Computational quantification and correction of the errors induced by layer removal for subsurface residual stress measurements. Int J Mech Sci 64(1):184–195. https://doi.org/10.1016/j.ijmecsci.2012.07.00310.1016/j.ijmecsci.2012.07.003 ↗
40. Denkena B, Abrão A, Krödel A, Meyer K (2020) Analytic roughness prediction by deep rolling. Prod Eng Res Devel 14(3):345–354. https://doi.org/10.1007/s11740-020-00961-010.1007/s11740-020-00961-0 ↗
41. Magalhães FC, Abrão AM, Denkena B, Breidenstein B, Mörke T (2017) Analytical Modeling of Surface Roughness, Hardness and Residual Stress Induced by Deep Rolling. J Mater Eng Perform 26(2):876–884. https://doi.org/10.1007/s11665-016-2486-510.1007/s11665-016-2486-5 ↗
42. Regazzi D, Cantini S, Cervello S, Foletti S (2017) Optimization of the cold-rolling process to enhance service life of railway axles. Procedia Structural Integrity 7:399–406. https://doi.org/10.1016/j.prostr.2017.11.10510.1016/j.prostr.2017.11.105 ↗
43. Hassani-Gangaraj SM, Moridi A, Guagliano M, Ghidini A (2014) Nitriding duration reduction without sacrificing mechanical characteristics and fatigue behavior: The beneficial effect of surface nano-crystallization by prior severe shot peening. Mater Des 55:492–498. https://doi.org/10.1016/j.matdes.2013.10.01510.1016/j.matdes.2013.10.015 ↗
44. Lim A, Castagne S, Wong CC (2016) Effect of Deep Cold Rolling on Residual Stress Distributions Between the Treated and Untreated Regions on Ti–6Al–4V Alloy. J Manuf Sci Eng 138:11. https://doi.org/10.1115/1.403352410.1115/1.4033524 ↗
45. Majzoobi GH, Zare Jouneghani F, Khademi E (2016) Experimental and numerical studies on the effect of deep rolling on bending fretting fatigue resistance of Al7075. Int J Adv Manuf Technol 82(9–12):2137–2148. https://doi.org/10.1007/s00170-015-7542-z10.1007/s00170-015-7542-z ↗
46. Manouchehrifar A, Alasvand K (2012) Finite element simulation of deep rolling and evaluate the influence of parameters on residual stress
47. Bäcker V, Klocke F, Wegner H, Timmer A, Grzhibovskis R, Rjasanow S (2010) Analysis of the deep rolling process on turbine blades using the FEM/BEM-coupling. IOP Conf Series: Mater Sci Eng 10:12134. https://doi.org/10.1088/1757-899X/10/1/01213410.1088/1757-899X/10/1/012134 ↗
48. Trauth D, Klocke F, Mattfeld P, Klink A (2013) Time-efficient Prediction of the Surface Layer State after Deep Rolling using Similarity Mechanics Approach. Procedia CIRP 9:29–34. https://doi.org/10.1016/j.procir.2013.06.16310.1016/j.procir.2013.06.163 ↗
49. Sartkulvanich P, Altan T, Jasso F, Rodriguez C (2007) Finite Element Modeling of Hard Roller Burnishing: An Analysis on the Effects of Process Parameters Upon Surface Finish and Residual Stresses. J Manuf Sci Eng 129(4):705–716. https://doi.org/10.1115/1.273812110.1115/1.2738121 ↗
50. Sayahi M, Sghaier S, Belhadjsalah H (2013) Finite element analysis of ball burnishing process: comparisons between numerical results and experiments. Int J Adv Manuf Technol 67(5–8):1665–1673. https://doi.org/10.1007/s00170-012-4599-910.1007/s00170-012-4599-9 ↗
51. Chaboche JL (1986) Time-independent constitutive theories for cyclic plasticity. Int J Plast 2(2):149–188. https://doi.org/10.1016/0749-6419(86)90010-010.1016/0749-6419(86)90010-0 ↗
52. Chaboche JL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int J Plast 5(3):247–302. https://doi.org/10.1016/0749-6419(89)90015-610.1016/0749-6419(89)90015-6 ↗
53. Chaboche JL (2008) A review of some plasticity and viscoplasticity constitutive theories. Int J Plast 24(10):1642–1693. https://doi.org/10.1016/j.ijplas.2008.03.00910.1016/j.ijplas.2008.03.009 ↗
54. Ecoroll AG. www.ecoroll.de
55. European Standard. EN 13261: Railway applications - Wheelsets and bogies - Axles - Product requirements. EN 13261 2021
56. Linhart V, Černý I (2011) An effect of strength of railway axle steels on fatigue resistance under press fit. Eng Fract Mech 78(5):731–741. https://doi.org/10.1016/j.engfracmech.2010.11.02310.1016/j.engfracmech.2010.11.023 ↗
57. Novosad M, Fajkoš R, Řeha B, Řezníček R (2010) Fatigue tests of railway axles. Procedia Engineering 2(1):2259–2268. https://doi.org/10.1016/j.proeng.2010.03.24210.1016/j.proeng.2010.03.242 ↗
58. Thöni C (2014) Auslegung und Planung eines Prüfstandes zur Erzeugung einer umlaufenden Biegespannung an Radsatzwellen. Diplomarbeit. Technische Universität Graz, Graz
59. European Standard. EN ISO 683–2: Heat-treatable steels, alloy steels and free-cutting steels: Part 2: Alloy steels for quenching and tempering. EN ISO 683–2 2018
60. European Standard. EN ISO 6892–1 Metallic materials - Tensile testing: Part 1: Method of test at room temperature. EN ISO 6892–1 2022.
61. International standard. ISO 12106 Metallic materials - Fatigue testing - Axial-strain-controlled method. ISO 12106 2017
62. Branco R, Costa JD, Antunes FV (2012) Low-cycle fatigue behaviour of 34CrNiMo6 high strength steel. Theoret Appl Fract Mech 58(1):28–34. https://doi.org/10.1016/j.tafmec.2012.02.00410.1016/j.tafmec.2012.02.004 ↗
63. Branco R, Costa J, Antunes F, Perdigão S (2016) Monotonic and Cyclic Behavior of DIN 34CrNiMo6 Tempered Alloy Steel. Metals 6(5):98. https://doi.org/10.3390/met605009810.3390/met6050098 ↗
64. Jahed H (2022) Cyclic Plasticity of Metals: Modeling Fundamentals and Applications. Elsevier, San Diego
65. European Standard. EN ISO 6506: Metallic materials - Brinell hardness test. EN ISO 6506 2015
66. European Standard. EN ISO 6507: Metallic materials - Vickers hardness test. EN ISO 6507 2018
67. ASTM International. ASTM E837 - 13a: Standard Test Method for Determining Residual Stresses by the Hole-Drilling Strain-Gage Method. ASTM E837 - 13a
68. Sint Technology. Hole drilling method. URL https://sint-technology.com/
69. Gibmeier J, Kornmeier M, Scholtes B (2000) Plastic Deformation during Application of the Hole-Drilling Method. Mater Sci Forum 347–349:131–137. https://doi.org/10.4028/www.scientific.net/MSF.347-349.13110.4028/www.scientific.net/MSF.347-349.131 ↗
70. Lin YC, Chou CP (1995) Error induced by local yielding around hole in hole drilling method for measuring residual stress of materials. Mater Sci Technol 11(6):600–604. https://doi.org/10.1179/mst.1995.11.6.60010.1179/mst.1995.11.6.600 ↗
71. Návrat T, Halabuk D, Vosynek P (2020) Efficiency of Plasticity Correction in the Hole-Drilling Residual Stress Measurement. Materials (Basel, Switzerland) 13(15). https://doi.org/10.3390/ma1315339610.3390/ma13153396 ↗
72. Rossi M, Sasso M, Connesson N, Singh R DeWald A, Backman D, Gloeckner P (2014) Eds. Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8: Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics. Springer International Publishing, Cham10.1007/978-3-319-00876-9 ↗
73. Steinzig M, Upshaw D, Rasty J (2014) Influence of Drilling Parameters on the Accuracy of Hole-drilling Residual Stress Measurements. Exp Mech 54(9):1537–1543. https://doi.org/10.1007/s11340-014-9923-x10.1007/s11340-014-9923-x ↗
74. Prevey PS (1986) X-Ray Diffraction Residual Stress Techniques. Metals Handbook 10(1986):440–458. https://doi.org/10.31399/asm.hb.v10.a000663210.31399/asm.hb.v10.a0006632 ↗
75. Rossini NS, Dassisti M, Benyounis KY, Olabi AG (2012) Methods of measuring residual stresses in components. Mater Des 35:572–588. https://doi.org/10.1016/j.matdes.2011.08.02210.1016/j.matdes.2011.08.022 ↗
76. European Standard. EN 15305: Non-destructive testing - Test method for residual stress analysis by X-ray diffraction. EN 15305 2009
77. Fitzpatrick ME, Fry AT, Holdway P, Kandil F (2002) Determination of residual stresses by X-ray diffraction
78. Farrahi GH, Lebrun JL (1995) Surface hardness measurement and micro structural characterisation of steel by X-Ray diffraction profile analysis
79. FernándezPariente I, Guagliano M (2008) About the role of residual stresses and surface work hardening on fatigue ΔKth of a nitrided and shot peened low-alloy steel. Surf Coat Technol 202(13):3072–3080. https://doi.org/10.1016/j.surfcoat.2007.11.01510.1016/j.surfcoat.2007.11.015 ↗
80. Majzoobi GH, Teimoorial Motlagh S, Amiri A (2010) Numerical simulation of residual stress induced by roll-peening. Trans Indian Inst Met 63(2–3):499–504. https://doi.org/10.1007/s12666-010-0071-410.1007/s12666-010-0071-4 ↗
81. Han K, Zhang D, Yao C, Tan L, Zhou Z, Zhao Yu (2021) Investigation of residual stress distribution induced during deep rolling of Ti-6Al-4V alloy. Proc Inst Mech Eng Part B: J Eng Manuf 235(1–2):186–197. https://doi.org/10.1177/095440542094796010.1177/0954405420947960 ↗
82. Heikebrügge S, Breidenstein B, Bergmann B, Dänekas C, Schaumann P (2022) Experimental and Numerical Investigations of the Deep Rolling Process to Analyze the Local Deformation Behavior of Welded Joints. J Manuf Mater Process 6(3):50. https://doi.org/10.3390/jmmp603005010.3390/jmmp6030050 ↗
83. Lyubenova N, Baehre D (2015) Finite Element Modelling and Investigation of the Process Parameters in Deep Rolling of AISI 4140 Steel. J Mater Sci Eng B 5(80. https://doi.org/10.17265/2161-6221/2015.7-8.00410.17265/2161-6221/2015.7-8.004 ↗
84. Lim A, Castagne S, Wong, CC (2014) Effect of friction coefficient on finite element modeling of the deep cold rolling process
85. MSC Software. Marc Volume A: Theory and User Information - 2020 FP1
86. Seisenbacher B, Winter G, Grün F (2018) Improved Approach to Determine the Material Parameters for a Combined Hardening Model. Mater Sci Appl 09(04):357–367. https://doi.org/10.4236/msa.2018.9402410.4236/msa.2018.94024 ↗
87. Surtee I, Nobre JP (2016) Residual Stress Redistribution due to Removal of Material Layers by Electrolytic Polishing. Residual Stresses 593–598. https://doi.org/10.21741/9781945291173-10010.21741/9781945291173-100 ↗
88. Ceglias, RB, Alves, JM, Botelho, RA, Baetajúnior de Souza E, Santos, Igor Cuzzuol dos, M, Nicki Robbers Darciano Cajueiro de O, Rebeca Vieira de D, Saulo Brinco B, Luiz P (2016) Residual Stress Evaluation by X-Ray Diffraction and Hole-Drilling in an API 5L X70 Steel Pipe Bent by Hot Induction. Mater Res 19(5):1176–1179. https://doi.org/10.1590/1980-5373-MR-2016-001210.1590/1980-5373-MR-2016-0012 ↗
89. Kandil FA, Lord JD, Fry AT, Grant PV (2001) A review of residual stress measurement methods -a guide to technique selection
90. Rickert T, Fix R, Suominen L (2007) Comparison of Residual Stress Measurements Using X-Ray Diffraction and PRISM - Electronic Speckle Pattern Interferometry and Hole-Drilling. SAE Technical Paper Series. https://doi.org/10.4271/2007-01-080410.4271/2007-01-0804 ↗