Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-24T11:16:59.988Z Has data issue: false hasContentIssue false

Influence of Noise-Generating Factors on Cross-Correlation Electron Backscatter Diffraction (EBSD) Measurement of Geometrically Necessary Dislocations (GNDs)

Published online by Cambridge University Press:  06 March 2017

Landon T. Hansen*
Affiliation:
Department of Mechanical Engineering, Brigham Young University, 435 Crabtree Building, Provo, UT 84602, USA
Brian E. Jackson
Affiliation:
Department of Mechanical Engineering, Brigham Young University, 435 Crabtree Building, Provo, UT 84602, USA
David T. Fullwood
Affiliation:
Department of Mechanical Engineering, Brigham Young University, 435 Crabtree Building, Provo, UT 84602, USA
Stuart I. Wright
Affiliation:
EDAX-TSL, 392 East 12300, Suite H, Draper, UT 84020, USA
Marc De Graef
Affiliation:
Department of Materials Science and Engineering, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA
Eric R. Homer
Affiliation:
Department of Mechanical Engineering, Brigham Young University, 435 Crabtree Building, Provo, UT 84602, USA
Robert H. Wagoner
Affiliation:
Department of Materials Science and Engineering, Ohio State University, 2041 College Rd., Columbus, OH 43210, USA
*
*Corresponding author. [email protected]
Get access

Abstract

Studies of dislocation density evolution are fundamental to improved understanding in various areas of deformation mechanics. Recent advances in cross-correlation techniques, applied to electron backscatter diffraction (EBSD) data have particularly shed light on geometrically necessary dislocation (GND) behavior. However, the framework is relatively computationally expensive—patterns are typically saved from the EBSD scan and analyzed offline. A better understanding of the impact of EBSD pattern degradation, such as binning, compression, and various forms of noise, is vital to enable optimization of rapid and low-cost GND analysis. This paper tackles the problem by setting up a set of simulated patterns that mimic real patterns corresponding to a known GND field. The patterns are subsequently degraded in terms of resolution and noise, and the GND densities calculated from the degraded patterns using cross-correlation ESBD are compared with the known values. Some confirmation of validity of the computational degradation of patterns by considering real pattern degradation is also undertaken. The results demonstrate that the EBSD technique is not particularly sensitive to lower levels of binning and image compression, but the precision is sensitive to Poisson-type noise. Some insight is also gained concerning effects of mixed patterns at a grain boundary on measured GND content.

Type
Materials Science Applications
Copyright
© Microscopy Society of America 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bayerschen, E., McBride, A.T., Reddy, B.D. & Bohlke, T. (2016). Review on slip transmission criteria in experiments and crystal plasticity models. J Mater Sci 51(5), 22432258.Google Scholar
Brigham Young University (2015). OpenXY. Available at https://github.com/byu-microstructureofmaterials/openxy (retrieved January 15, 2016).Google Scholar
Britton, T.B., Jiang, J., Clough, R., Tarleton, E., Kirkland, A.I. & Wilkinson, A.J. (2013 a). Assessing the precision of strain measurements using electron backscatter diffraction—Part 2: Experimental demonstration. Ultramicroscopy 135, 136141.Google Scholar
Britton, T.B., Jiang, J., Clough, R., Tarleton, E., Kirkland, A.I. & Wilkinson, A.J. (2013 b). Assessing the precision of strain measurements using electron backscatter diffraction—Part 1: Detector assessment. Ultramicroscopy 135, 126135.Google Scholar
Britton, T.B, Maurice, C., Fortunier, R., Driver, J.H., Day, A.P., Meaden, G., Dingley, D.J., Mingard, K. & Wilkinson, A.J. (2010). Factors affecting the accuracy of high resolution electron backscatter diffraction when using simulated patterns. Ultramicroscopy 110(12), 14431453.Google Scholar
Britton, T.B. & Wilkinson, A.J. (2011). Measurement of residual elastic strain and lattice rotations with high resolution electron backscatter diffraction. Ultramicroscopy 111(8), 13951404.CrossRefGoogle ScholarPubMed
Britton, T.B. & Wilkinson, A.J. (2012 a). High resolution electron backscatter diffraction measurements of elastic strain variations in the presence of larger lattice rotations. Ultramicroscopy 114, 8295.CrossRefGoogle ScholarPubMed
Britton, T.B. & Wilkinson, A.J. (2012 b). Stress fields and geometrically necessary dislocation density distributions near the head of a blocked slip band. Acta Mater 60(16), 57735782.Google Scholar
Callahan, P.G. & De Graef, M. (2013). Dynamical EBSD patterns part I: Pattern simulations. Microsc Microanal 19, 12551265.CrossRefGoogle ScholarPubMed
Chen, D., Kuo, J.C. & Wu, W.T. (2011). Effect of microscopic parameters on EBSD spatial resolution. Ultramicroscopy 111(9–10), 14881494.Google Scholar
Cizmar, P., Vladar, A.E., Ming, B. & Postek, M.T. (2008). Simulated SEM images for resolution measurement. Scanning 30, 111.Google Scholar
De Graef, M. (2015). EMsoft 3.0. Available at http://www.github.com/marcdegraef/emsoft (retrieved December 12, 2015).Google Scholar
EDAX (2015). OIM 7.2.1. Draper, UT: EDAX-TSL.Google Scholar
Fullwood, D., Adams, B., Basinger, J., Ruggles, T., Khosravani, A., Sorensen, C. & Kacher, J. (2014). Microstructure detail extraction via EBSD: An overview. In Strains and Dislocation Gradients From Diffraction, Barrabas, R. & Ice, G.E. (Eds.), pp. 405437. London, UK: Imperial College Press.CrossRefGoogle Scholar
Fullwood, D., Vaudin, M., Daniels, C., Ruggles, T. & Wright, S.I. (2015). Validation of kinematically simulated pattern HR-EBSD for measuring absolute strains and lattice tetragonality. Mater Charact 107, 270277.Google Scholar
Gardner, C.J., Adams, B.L., Basinger, J. & Fullwood, D.T. (2010). EBSD-based continuum dislocation microscopy. Int J Plasticity 26, 12341247.Google Scholar
Guo, Y., Britton, T.B. & Wilkinson, A.J. (2014). Slip band-grain boundary interactions in commercial-purity titanium. Acta Mater 76, 112.CrossRefGoogle Scholar
Jiang, J., Britton, T.B. & Wilkinson, A.J. (2013). Measurement of geometrically necessary dislocation density with high resolution electron backscatter diffraction: Effects of detector binning and step size. Ultramicroscopy 125, 19.Google Scholar
Jiang, J., Yang, J., Zhang, T.T., Dunne, F.P.E. & Ben Britton, T. (2015). On the mechanistic basis of fatigue crack nucleation in Ni superalloy containing inclusions using high resolution electron backscatter diffraction. Acta Mater 97, 367379.Google Scholar
Kacher, J., Landon, C., Adams, B.L. & Fullwood, D. (2009). Bragg’s law diffraction simulations for electron backscatter diffraction analysis. Ultramicroscopy 109(9), 11481156.Google Scholar
Kroner, E. (1958). Continuum theory of dislocations and self-stresses. Ergebnisse der Angewandten Mathematik 5, 13271347.Google Scholar
Kysar, J.W., Saito, Y., Oztop, M.S., Lee, D. & Huh, W.T. (2010). Experimental lower bounds on geometrically necessary dislocation density. Int J Plasticity 26, 10971123.CrossRefGoogle Scholar
Landon, C.D., Adams, B.L. & Kacher, J. (2008). High-resolution methods for characterizing mesoscale dislocation structures. J Eng Mater-T Asme 130(2), 021004-021008.Google Scholar
Larrouy, B., Villechaise, P., Cormier, J. & Berteaux, O. (2015). Grain boundary-slip bands interactions: Impact on the fatigue crack initiation in a polycrystalline forged Ni-based superalloy. Acta Mater 99, 325336.Google Scholar
MathWorks (2014). MATLAB R2014b. Natwick, MA: The MathWorks, Inc.Google Scholar
Maurice, C., Driver, J.H. & Fortunier, R. (2012). On solving the orientation gradient dependency of high angular resolution EBSD. Ultramicroscopy 113, 171181.CrossRefGoogle Scholar
Nye, J.F. (1953). Some geometrical relations in dislocated crystals. Acta Metall 1, 153162.Google Scholar
Park, S.U., Wei, D., Graef, M.D., Shah, M., Simmons, J. & Hero, A.O. (2013). EBSD image segmentation using a physics-based forward model. In Image Processing (ICIP), IEEE, September 15–18, 2013, Melbourne, Victoria, Australia.Google Scholar
Pinard, P.T., Lagac’e, M., Hovington, P., Thibault, D. & Gauvin, R. (2011). An open-source engine for the processing of electron backscatter patterns. Microsc Microanal 17, 374385.Google Scholar
Ram, F., Zaefferer, S., Japel, T. & Raabe, D. (2015). Error analysis of the crystal orientations and disorientations obtained by the classical electron backscatter diffraction technique. J Appl Crystallogr 48, 797813.CrossRefGoogle Scholar
Ruggles, T. & Fullwood, D. (2013). Estimation of bulk dislocation density based on known distortion gradients recovered from EBSD. Ultramicroscopy 133, 815.CrossRefGoogle Scholar
Ruggles, T.J., Fullwood, D.T. & Kysar, J. (2016a). Resolving geometrically necessary dislocations onto individual slip systems using EBSD-based continuum dislocation microscopy. Int J Plasticity 76, 231243.Google Scholar
Ruggles, T.J., Rampton, T.M., Khosravani, A. & Fullwood, D.T. (2016b). The effect of length scale on the determination of geometrically necessary dislocations via EBSD continuum dislocation microscopy. Ultramicroscopy 164, 110.Google Scholar
Sorensen, C., Basinger, J.A., Fullwood, D.T. & Nowell, M.M. (2014). Full grain boundary character recovery from 2D EBSD data. Met Trans A 45(9), 41654172.Google Scholar
Tong, V., Jiang, J., Wilkinson, A.J. & Ben Britton, T. (2015). The effect of pattern overlap on the accuracy of high resolution electron backscatter diffraction measurements. Ultramicroscopy 155, 6273.Google Scholar
Troost, K.Z., Sluis, P.v.d. & Gravesteijn, D.J. (1993). Microscale elastic-strain determination by backscatter Kikuchi diffraction in the scanning electron microscope. Appl Phys Lett 62(10), 11101112.CrossRefGoogle Scholar
Wilkinson, A.J., Clarke, E.E., Britton, T.B., Littlewood, P. & Karamched, P.S (2010). High-resolution electron backscatter diffraction: An emerging tool for studying local deformation. J Strain Anal Eng Des 45, 365.Google Scholar
Wilkinson, A.J., Meaden, G. & Dingley, D.J. (2006 a). High-resolution elastic strain measurement from electron backscatter diffraction patterns: New levels of sensitivity. Ultramicroscopy 106(4–5), 307313.Google Scholar
Wilkinson, A.J., Meaden, G. & Dingley, D.J. (2006 b). High resolution mapping of strains and rotations using electron backscatter diffraction. Mater Sci Tech 22(11), 12711278.Google Scholar
Wright, S.I. & Nowell, M.M. (2006). EBSD image quality mapping. Microsc Microanal 12, 7284.Google Scholar
Wright, S.I., Nowell, M.M., Lindeman, S.P., Camus, P.P., De Graef, M. & Jackson, M.A. (2015). Introduction and comparison of new EBSD post-processing methodologies. Ultramicroscopy 159, 8194.Google Scholar