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Continuous Strain Bursts in Crystalline and Amorphous Metals During Plastic Deformation by Nanoindentation

Published online by Cambridge University Press:  03 March 2011

H. Li ,
A.H.W. Ngan  and
M.G. Wang
H. Li
Affiliation:
Department of Mechanical Engineering, The University of Hong Kong,Hong Kong, People’s Republic of China
A.H.W. Ngan
Affiliation:
Department of Mechanical Engineering, The University of Hong Kong,Hong Kong, People’s Republic of China
M.G. Wang
Affiliation:
Department of Mechanical Engineering, The University of Hong Kong,Hong Kong, People’s Republic of China
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Abstract

Using depth-sensing indentation with sub-nanometer displacement resolution, the plastic deformation of a range of materials, including a metallic glass, amorphous selenium, Ni3Al, pure Nb, Al, Cu, and Zn metals, and an Al-Mg alloy, has been investigated at room temperature. In amorphous selenium, even the sub-nanometer displacement resolution of the nanoindentation technique cannot reveal any strain burst during deformation at room temperature. In all other metals studied, what may appear to be smooth load-displacement curves at macroscopic scale during indentation deformation in fact turn out to consist of a continuous series of random bursts of the nanometer scale. The occurrence probability of the bursts is found to decrease at increasing burst size. In all of the crystalline metals and alloys studied, the size distribution of the strain bursts seems to follow an exponential law with a characteristic length scale. The absence of the self-organized critical behavior is likely a result of the small size of the strained volume in the nanoindentation situation, which gives rise to a constraint of a characteristic strain. In the metallic glass sample, due to the limited range of the burst sizes encountered, whether the deformation bursts follow an exponential or a power-law behavior corresponding to self-organized criticality is inconclusive. From a theoretical viewpoint based on the Shannon entropy, the exponential distribution is the most likely distribution at a given mean burst size, and this is thought to be the reason for its occurrence in different materials.

Keywords

MetalMetallic glassNanoindentation
Type
Articles
Information
Journal of Materials Research , Volume 20 , Issue 11 , November 2005 , pp. 3072 - 3081
Copyright
Copyright © Materials Research Society 2005

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References

REFERENCES

1Bak, P., Tang, C. and Wiesenfeld, K.: Self-organized criticality: An explanation of 1/f noise. Phys. Rev. Lett. 59, 381 (1987).CrossRefGoogle Scholar
2Bak, P.: How Nature Works (Springer-Verlag, Berlin, Germany, 1996).CrossRefGoogle Scholar
3De Hosson, J.Th.M., Boom, G., Schlagowski, U. and Kanert, O.: Solution hardening in Al-Zn alloys. Acta Metall. 34, 1571 (1986).CrossRefGoogle Scholar
4Miguel, M.-C., Vespingnani, A., Zapperi, S., Weiss, J. and Grasso, J.-R.: Intermittent dislocation flow in viscoplastic deformation. Nature 410, 667 (2001).CrossRefGoogle ScholarPubMed
5Häfner, P., Bay, K. and Zaiser, M.: Fractal dislocation patterning during plastic deformation. Phys. Rev. Lett. 81, 2470 (1998).Google Scholar
6Zaiser, M., Bay, K. and Häfner, P.: Fractal analysis of deformation-induced dislocation patterns. Acta Mater. 47, 2463 (1999).CrossRefGoogle Scholar
7Ngan, A.H.W.: Dislocation patterning—A statistical mechanics perspective. Scripta Mate. 52, 1005 (2005).CrossRefGoogle Scholar
8Golovin, Yu.I., Ivolgin, V.I., Khonik, V.A., Kitagawa, K. and Tyurin, A.I.: Serrated plastic flow during nanoindentation of a bulk metallic glass. Scripta Mater. 45, 947 (2001).CrossRefGoogle Scholar
9Nieh, T.G., Schuh, C., Wadsworth, J. and Li, Y.: Strain rate-dependent deformation in bulk metallic glasses. Intermetallics 10, 1177 (2002).CrossRefGoogle Scholar
10Schuh, C.A., Nieh, T.G. and Kawamura, Y.: Rate dependence of serrated flow during nanoindentation of a bulk metallic glass. J. Mater. Res. 17, 1651 (2002).CrossRefGoogle Scholar
11Schuh, C.A., Argon, A.S., Nieh, T.G. and Wadsworth, J.: The transition from localized to homogeneous plasticity during nanoindentation of an amorphous metal. Philos. Mag. 83, 2585 (2003).CrossRefGoogle Scholar
12Schuh, C.A. and Nieh, T.G.: A nanoindentation study of serrated flow in bulk metallic glasses. Acta Mater. 51, 87 (2003).CrossRefGoogle Scholar
13Savitzky, A. and Golay, M.J.E.: Smoothing and differentiation of data by simplified least squares procedures. Anal. Chem. 36, 1627 (1964).CrossRefGoogle Scholar
14Bower, A.F., Fleck, N.A., Needleman, A. and Ogbonna, N.: Indentation of a power law creeping solid. Proc. R. Soc. London, Ser. A 441, 97 (1993).Google Scholar
15Tang, B. and Ngan, A.H.W. Measurement of viscoelastic properties of amorphous selenium using depth-sensing indentation. To appear in Soft Mater. 2, 125 (2005).Google Scholar
16Golovin, Yu.I., Ivolgin, V.I. and Lebedkin, M.A.: Unstable plastic flow in the Al-3%Mg alloy in the process of continuous nanoindentation. Phys. Solid State 44, 1310 (2002).CrossRefGoogle Scholar
17Bérces, G., Lendvai, J., Juhász, A. and Chinh, N.Q.: Dynamic characterization of Portevin-Le Châtelier instabilities occurring in depth-sensing microhardness tests. J. Mater. Res. 18, 2874 (2003).CrossRefGoogle Scholar
18Soer, W.A., De Hosson, J.Th.M., Minor, A.M., Morris, J.W. Jr. and Stach, E.A.: Effects of solute Mg on grain boundary and dislocation dynamics during nanoindentation of Al-Mg thin films. Acta Mater. 52, 5783 (2004).CrossRefGoogle Scholar
19Chinh, N.Q., Gubicza, J., Kovács, Zs. and Lendvai, J.: Depth-sensing indentation tests in studying plastic instabilities. J. Mater. Res. 19, 31 (2004).CrossRefGoogle Scholar
20Kovács, Zs., Chinh, N.Q., Lendvai, J. and Vörös, G.: Portevin– Le Châtelier type plastic instabilities in depth sensing macro-indentation. Mater. Sci. Eng. A325, 255 (2002).CrossRefGoogle Scholar
21Hirsch, P.B.: A model of the anomalous yield stress for (111) slip in L12 alloys. Prog. Mater. Sci. 36, 63 (1992).CrossRefGoogle Scholar
22Ngan, A.H.W., Wen, M. and Woo, C.H.: Atomistic simulations of Paidar–Pope–Vitek lock formation in Ni3Al. Comput. Mater. Sci. 29, 259 (2004).CrossRefGoogle Scholar
23Ngan, A.H.W. and Wen, M.: Dislocation kink-pair energetics and pencil glide in body-centered-cubic crystals. Phys. Rev. Lett. 87, 075505 (2001).CrossRefGoogle ScholarPubMed
24Caillard, D. and Couret, A.: Dislocation movements controlled by friction forces and local pinning in metals and alloys. Mater. Sci. Eng. A322, 108 (2002).CrossRefGoogle Scholar
25Molenat, G. and Caillard, D.: Dislocation mechanisms in Ni3Al at room-temperature—In situ straining experiments in TEM. Philos. Mag. A 64, 1291 (1991).CrossRefGoogle Scholar
26Shannon, C.E.: A mathematical theory of communication. Bell Syst. Tech. J. 27, 379623656(1948).CrossRefGoogle Scholar