Abstract
A number of properties of amorphous materials including fatigue, fracture and component performance are governed by the magnitude of strain fields around inhomogeneities such as inclusions, voids and cracks. At present, localized strain information is only available from surface probes such as optical or electron microscopy1,2. This is unfortunate because surface and bulk characteristics in general differ. Hence, to a large extent, the assessment of strain distributions relies on untested models. Here we present a universal diffraction method for characterizing bulk stress and strain fields in amorphous materials and demonstrate its efficacy by work on a material of current interest in materials engineering: a bulk metallic glass3,4,5. The macroscopic response is shown to be less stiff than the atomic next-neighbour bonds because of structural rearrangements at the scale of 4–10 Å. The method is also applicable to composites comprising an amorphous matrix and crystalline inclusions.
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References
Synnergren, P. & Sjödahl, M. Optical in-plane strain field sensor. Appl. Opt. 41, 1323–1329 (2002).
Tatshl, A. & Kolednik, O. On the experimental characterization of crystal plasticity in polycrystals. Mater. Sci. Eng. A342, 152–168 (2003).
Johnson, W. L. Bulk glass-forming metallic alloys: science and technology. Mater. Res. Soc. Bull. 24, 42–56 (1999).
Inoue, A. Stabilization of metallic supercooled liquid and bulk amorphous alloys. Acta Mater. 48, 279–306 (2000).
Eckert, J., Deledda, S., Kuhn, U. & Reger-Leonhard, A. Bulk metallic glasses and composites in multicomponent systems. Mater. Trans. 42, 650–655 (2001).
Noyan, I. C. & Cohen J. B. Residual Stress (Springer, Berlin, 1987).
Fitzpatrick, M. & Lodini, A. (eds) Analysis of Residual Stress by Diffraction using Neutron and Synchrotron Radiation (Taylor and Francis, London, 2003).
Kirkpatrick, P., Baez, A. V. & Newell A. Geometrical optics of grazing incidence reflectors. Phys Rev. 73, 535–536 (1948).
Snigirev, A., Kohn, V., Snigireva, I. & Lengeler B. A compound refractive lens for focusing high-energy X-rays. Nature 384, 49–51 (1996).
Pfeiffer, F., David, C., Burghammer, M., Riekel, C. & Salditt T. Two-dimensional X-ray waveguides and point sources. Science 297, 230–234 (2002).
Reimers, W. et al. The use of high-energy synchrotron diffraction for residual stress analyses. J. Mater. Sci. Lett. 18, 581–583 (1999).
Haase, J. D., Guvenilir, A., Witt, J. R. & Stock, S. R. X-ray microbeam mapping of microtexture related to fatigue crack asperities in Al–Li 2090. Acta Mater. 46, 4791–4799 (1998).
Wang P. C., Cargill G. S., Noyan I. C. & Hu C. K. Electromigration-induced stress in aluminum conductor lines measured by x-ray microdiffraction. Appl. Phys. Lett. 72, 1296–1298 (1998).
Sinclair, R. et al. The effect of fibre fractures in the bridging zone of fatigue cracked Ti-6Al-4V/SiC fibre composites. Acta Mater. 52, 1423–1438 (2004).
Poulsen, H. F. et al. Three-dimensional maps of grain boundaries and the stress state of individal grains in polycrystals and powders. J. Appl. Cryst. 34, 751–756 (2001).
Larson, B. C. et al. Three-dimensional X-ray structural microscopy with submicrometre resolution. Nature 415, 887–890 (2002).
Tulk, C. A. et al. Structural studies of several distinct metastable forms of amorphous ice. Science 297, 1320–23 (2002).
Sampath, S. et al. Intermediate-range order in permanently densified GeO2 glass. Phys. Rev. Lett. 90, 115502–1-4 (2003).
Yavari, A. R. et al. Quenched-in free volume Vf, deformation-induced free volume, the glass transition Tg and thermal expansion in glassy ZrNbCuNiAl measured by time-resolved diffraction in transmission. Mater. Res. Symp. Proc. 806, 203–208 (2004).
Ott, R. T. et al. Synchrotron strain measurements for in situ formed metallic glass matrix composites. Mater. Res. Soc. Proc. 806 MM8.12 (2004).
Balch, D. K., Ustundag, E. & Dunand, D. C. Elasto-plastic load transfer in bulk metallic glass composites containing ductile particles. Metall. Mater. Trans. A 34, 1787–1797 (2003).
Schneider, J. R. et al. High energy synchrotron radiation. A new probe for condensed matter research. J. Phys. IV 4, 415–421 (1994).
Warren, B. E. X-ray Diffraction (Addison-Wesley, Reading, 1968).
Poulsen, H. F., Neuefeind, J., Neumann, H.-B., Schneider, J. R. & Zeidler, M. D. Amorphous silica studied by high energy X-ray diffraction. J. Non-Cryst. Solids 188, 63–74 (1995).
Yuan, G., Zhang, T. & Inoue, A. Thermal stability, glass forming ability and mechanical properties of Mg–Y–Zn–Cu glassy alloys. Mater. Trans. JIM 44, 2271–2275 (2003).
Kirsch, G. Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre. Z. Verein Deutsch. Ing. 42, 797–807 (1898).
Wolff, U., Pryds, N., Johnson, E. & Wert, J. A. The effect of partial crystallization on elevated temperature flow stress and room temperature hardness of a bulk amorphous Mg60Cu30Y10 alloy. Acta Mater. 52, 1989–1995 (2004).
Lienert, U. et al. High spatial resolution strain measurements within bulk materials by slit-imaging. Mater. Res. Soc. Symp. Proc. 590, 241–246 (2000).
Lienert, U. et al. Focusing optics for high-energy X-ray diffraction. J. Synchrotron Radiat. 5, 226–231 (1998).
Suortti, P. et al. Monochromators for high-energy synchrotron radiation. Z. Phys. Chem. 215, 1419–1435 (2001).
Acknowledgements
The sample preparation was performed by M. Cheng, N. Pryds, and U. Wolff. For assistance with the experiment we thank T. Buslaps. Discussions with R.V. Martins, M.M. Nielsen and P. Sommer-Larsen are appreciated. This work was supported by the Danish National Research Foundation and the Danish Natural Science Research Council.
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Poulsen, H., Wert, J., Neuefeind, J. et al. Measuring strain distributions in amorphous materials. Nature Mater 4, 33–36 (2005). https://doi.org/10.1038/nmat1266
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DOI: https://doi.org/10.1038/nmat1266
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