Abstract
Background
Optical metrology is widely used to measure materials’ deformation and mechanical properties but current fundamental research requires more precise measurement of microstructure and deformation in internal materials. Electron backscattered diffraction (EBSD) technique measures crystal orientation in individual grain and high resolution EBSD (HR-EBSD) method provides information about residual strain and GND density.
Objective
Deformation of two stainless steels Nitronic 60 and Tristelle 5183 with different proportions of ferrite and carbides are characterised.
Methods
Push-release bend testing was used to provide progressive increasing bending stress in two iron-based material samples. HR-EBSD and high resolution digital image correlation (HR-DIC) methods characterised residual strain, GND density and plastic strain distributions in each sample.
Results
Nitronic 60 and Tristelle 5183 were deformed and obtained 3.8% and 0.9% plastic strain Ɛxx. High GND densities distributed neighbouring grain boundaries in Nitronic 60 while high GND densities distributed around carbides, especially intragranular carbides in Tristelle 5183.
Conclusions
HR-EBSD and HR-DIC quantitative characterised deformation in two iron-based alloys, grain/twin boundaries and carbides resulted in GND density increase, promoted work hardening and accumulated high residual elastic strain. Heterogeneous grain/carbide size distribution leaded to stress concentration and cause carbide decohesion and brittle fracture of sample.
Similar content being viewed by others
References
Rastogi P (2015) Digital optical measurement techniques and applications. Artech House
Li X, Xie H, Kang Y, Wu XJAMSS (2010) A brief review and prospect of experimental solid mechanics in China. 23(6):498–548
Sirohi R (2018) Optical methods of measurement: wholefield techniques. CRC Press
Wang Q, Ri S, Maenosono A, Tanaka Y, Koyama M (2019) 1-second-resolved strain mapping in Ti-6Al-4V alloys during dwell fatigue in SEM by video sampling moiré. Mech Mater 133:63–70
Qiu W, Li Q, Lei Z-K, Qin Q-H, Deng W-L (2013) Kang Y-LJC. The use of a carbon nanotube sensor for measuring strain by micro-Raman spectroscopy 53:161–168
Ferraro JR (2003) Introductory raman spectroscopy. Elsevier
Popov MN, Spitaler J, Veerapandiyan VK, Bousquet E, Hlinka J, Deluca MJnCM (2020) Raman spectra of fine-grained materials from first principles. 6(1):1–7
Movasaghi Z, Rehman S, Rehman IUJASR (2007) Raman spectroscopy of biological tissues. 42(5):493–541
Dresselhaus MS, Dresselhaus G, Saito R, Jorio AJPr (2005) Raman spectroscopy of carbon nanotubes. 409(2):47–99
Malard L, Pimenta MA, Dresselhaus G, Dresselhaus MJPr (2009) Raman spectroscopy in graphene. 473(5–6):51–87
Bai Y, Zhang R, Ye X, Zhu Z, Xie H, Shen B, Cai D, Liu B, Zhang C, Jia ZJNn (2018) Carbon nanotube bundles with tensile strength over 80 GPa. 13(7):589–595
Li JF, Huang YF, Ding Y, Yang ZL, Li SB, Zhou XS, Fan FR, Zhang W, Zhou ZY, Ren BJn (2010) Shell-isolated nanoparticle-enhanced Raman spectroscopy. 464(7287):392–395
Qiu W, Cheng C-L, Liang R-R, Zhao C-W, Lei Z-K, Zhao Y-C, Ma L-L, Xu J, Fang H-J, Kang Y-LJAMS (2016) Measurement of residual stress in a multi-layer semiconductor heterostructure by micro-Raman spectroscopy. 32(5):805–812
Stuart BJKOeoct (2000) Infrared spectroscopy
Mantsch HH, Chapman D (1996) Infrared spectroscopy of biomolecules. Wiley-Liss New York
Qazilbash MM, Brehm M, Chae B-G, Ho P-C, Andreev GO, Kim B-J, Yun SJ, Balatsky A, Maple M, Keilmann FJS (2007) Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging. 318(5857):1750–1753
Barth AJBeBA-B (2007) Infrared spectroscopy of proteins. 1767(9):1073–1101
Jiang Z, Henriksen EA, Tung L, Wang Y-J, Schwartz M, Han MY, Kim P, Stormer HLJPrl (2007) Infrared spectroscopy of Landau levels of graphene. 98(19):197403
Guinier A (1994) X-ray diffraction in crystals, imperfect crystals, and amorphous bodies. Courier Corporation
Klug HP, Alexander LE (1974) X-ray diffraction procedures: for polycrystalline and amorphous materials
Li Z, Lu C, Xia Z, Zhou Y, Luo ZJC (2007) X-ray diffraction patterns of graphite and turbostratic carbon 45(8):1686–1695
Tonouchi MJNp (2007) Cutting-edge terahertz technology. 1(2):97–105
Siegel PHJITomt, techniques (2002) Terahertz technology. 50(3):910–928
Beard MC, Turner GM, Schmuttenmaer CA (2002) Terahertz spectroscopy. ACS Publications
Krivoglaz MA (2012) X-ray and neutron diffraction in nonideal crystals. Springer Science & Business Media
Bacon GE (1975) Neutron diffraction. 3
Trucano P, Chen RJN (1975) Structure of graphite by neutron diffraction 258(5531):136–137
Wenk H, Lutterotti L, Vogel SJPD (2010) Rietveld texture analysis from TOF neutron diffraction data 25(3):283–296
Wang Z, Denlinger E, Michaleris P, Stoica AD, Ma D, Beese AMJM, Design (2017) Residual stress mapping in Inconel 625 fabricated through additive manufacturing: Method for neutron diffraction measurements to validate thermomechanical model predictions. 113:169–177
Allen A, Hutchings M, Windsor C, Andreani CJAiP (1985) Neutron diffraction methods for the study of residual stress fields. 34(4):445–473
Hutchings MT (2005) Introduction to the characterization of residual stress by neutron diffraction. CRC Press
Sunde M, Serpell LC, Bartlam M, Fraser PE, Pepys MB, Blake CCJJomb (1997) Common core structure of amyloid fibrils by synchrotron X-ray diffraction. 273(3):729–739
Sokolov AA, Ternov IMJs (1966) Synchrotron radiation
Schoenlein R, Chattopadhyay S, Chong H, Glover T, Heimann P, Shank C, Zholents A, Zolotorev MJS (2000) Generation of femtosecond pulses of synchrotron radiation 287(5461):2237–2240
Randle V, Engler O (2000) Introduction to texture analysis: macrotexture, microtexture and orientation mapping. CRC Press
OxfordInstrument. http://www.ebsd.com/10-ebsd-explained
Wilkinson AJ, Britton TB (2012) Strains, planes, and EBSD in materials science. Mater Today 15(9):366–376
Schwartz AJ, Kumar M, Adams BL, Field DP (2009) Electron backscatter diffraction in materials science, vol 2. Springer
Wilkinson AJ, Meaden G, Dingley DJ (2013) High resolution mapping of strains and rotations using electron backscatter diffraction. Mater Sci Technol 22(11):1271–1278. https://doi.org/10.1179/174328406x130966
Wilkinson AJ, Meaden G, Dingley DJ (2006) High-resolution elastic strain measurement from electron backscatter diffraction patterns: new levels of sensitivity. Ultramicroscopy 106(4–5):307–313. https://doi.org/10.1016/j.ultramic.2005.10.001
Jiang J, Britton TB, Wilkinson AJ (2012) Accumulation of geometrically necessary dislocations near grain boundaries in deformed copper. Philos Mag Lett 92(11):580–588
Britton TB, Wilkinson AJ (2012) Stress fields and geometrically necessary dislocation density distributions near the head of a blocked slip band. Acta Mater 60(16):5773–5782
Kacher J, Landon C, Adams BL, Fullwood D (2009) Bragg’s Law diffraction simulations for electron backscatter diffraction analysis. Ultramicroscopy 109(9):1148–1156
Adams BL, Kacher J (2010) EBSD-based microscopy: Resolution of dislocation density. Computers, Materials, & Continua 14(3):185–196
Abuzaid W, Sehitoglu H, Lambros J (2013) Plastic strain localization and fatigue micro-crack formation in Hastelloy X. Mater Sci Eng, A 561:507–519
Yan D, Tasan CC, Raabe D (2015) High resolution in situ mapping of microstrain and microstructure evolution reveals damage resistance criteria in dual phase steels. Acta Mater 96:399–409
Ocken H (1995) The galling wear resistance of new iron-base hardfacing alloys: a comparison with established cobalt-and nickel-base alloys. Surf Coat Technol 76:456–461
Sulley J, Stewart D (2016) HIPed Hard Facings for Nuclear Applications: Materials, Key Potential Defects and Mitigating Quality Control Measures. In: 2016 24th International Conference on Nuclear Engineering, 2016. American Society of Mechanical Engineers, pp V001T003A034-V001T003A034
Zhao C, Stewart D, Jiang J, Dunne FP (2018) A comparative assessment of iron and cobalt-based hard-facing alloy deformation using HR-EBSD and HR-DIC. Acta Mater 159:173–186
Cockeram B (2000) Corrosion resistance and electrochemical potentiokinetic reactivation testing of some iron-based hardfacing alloys. Corrosion 56(8):849–859
Hansen N (2004) Hall-Petch relation and boundary strengthening. Scripta Mater 51(8):801–806
Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20(6):062001
Wan V, Cuddihy M, Jiang J, MacLachlan D, Dunne F (2016) An HR-EBSD and computational crystal plasticity investigation of microstructural stress distributions and fatigue hotspots in polycrystalline copper. Acta Mater 115:45–57
Hunsche A, Neumann P (1986) Quantitative measurement of persistent slip band profiles and crack initiation. Acta Metall 34(2):207–217
Sangid MD, Maier HJ, Sehitoglu H (2011) A physically based fatigue model for prediction of crack initiation from persistent slip bands in polycrystals. Acta Mater 59(1):328–341
Wang S, Kalácska S, Maeder X, Michler J, Giuliani F (2019) Britton TBJSM. The effect of δ-hydride on the micromechanical deformation of a Zr alloy studied by in situ high angular resolution electron backscatter diffraction 173:101–105
Jun TS, Zhang Z, Dunne FP, Britton TB Evaluation of Local Rate Sensitivity in a Dwell‐Sensitive Ti6242 Using Micropillar Compression. In: Proceedings of the 13th World Conference on Titanium, 2016. Wiley Online Library, pp 498–498
Arsenlis A, Parks D (1999) Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density. Acta Mater 47(5):1597–1611
Kysar J, Saito Y, Oztop M, Lee D, Huh W (2010) Experimental lower bounds on geometrically necessary dislocation density. Int J Plast 26(8):1097–1123
Hall E (1951) The deformation and ageing of mild steel: III discussion of results. Proc Phys Soc London, Sect B 64(9):747
Acknowledgements
Thanks for the financial support of the National Natural Science Foundation of China (grant numbers 11632010). C. Zhao acknowledge the financial support by the China Scholarship Council (CSC), Rolls-Royce and Imperial College London. C. Zhao want to express thanks to Prof Fionn Dunne, Dr Ben Britton and Dr Jun Jiang for helpful discussions on the experiments.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interests
The authors have no conflicts of interest to declare that are relevant to the content of this article. The research did not involve any human participants and/or animals.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhao, C., Li, X. Quantitative Study of Residual Strain and Geometrically Necessary Dislocation Density Using HR-EBSD Method. Exp Mech 61, 1281–1290 (2021). https://doi.org/10.1007/s11340-021-00741-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11340-021-00741-6