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The strain-rate dependence of the nanoindentation stress of gold at 300 K: A deformation kinetics-based approach

Published online by Cambridge University Press:  31 January 2011

Vineet Bhakhri  and
Robert J. Klassen
Vineet Bhakhri*
Affiliation:
Department of Mechanical and Materials Engineering, Faculty of Engineering, The University of Western Ontario, London, Ontario N6A 5B9, Canada
Robert J. Klassen
Affiliation:
Department of Mechanical and Materials Engineering, Faculty of Engineering, The University of Western Ontario, London, Ontario N6A 5B9, Canada
*
a) Address all correspondence to this author. e-mail: vbhakhri@uwo.ca
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Abstract

Indentation tests involving a constant-loading rate stage followed by a constant-load stage were performed on annealed and 20% cold-worked Au to investigate the effect of indentation depth and initial dislocation density on the indentation deformation process. The indentation strain rate data were analyzed in terms of an obstacle-limited dislocation glide mechanism. The apparent activation energy was of the order of 0.16 μb3 and was neither a function of initial indentation depth nor cold work. The results of Haasen plot activation analysis and direct transmission electron microscopy (TEM) observations indicate that more mechanical work must be applied during the constant-loading rate stage due to the large amount of work hardening compared with the constant-load stage where considerably more dislocation recovery occurs.

Keywords

Activation analysisNanoindentationTransmission electron microscopy (TEM)
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 4 , April 2009 , pp. 1456 - 1465
Copyright
Copyright © Materials Research Society 2009

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References

1Schuh, C.A.: Nanoindentation studies of materials. Mater. Today 9,(5) 32 (2006).CrossRefGoogle Scholar
2Greer, J.R.Oliver, W.C. and Nix, W.D.: Size effects in mechanical properties of gold at the micron scale in the absence of strain gradients. Acta Mater. 53, 1821 (2005).CrossRefGoogle Scholar
3Greer, J.R.: Bridging the gap between computational and experimental length scales: A review on nano-scale plasticity. Rev. Adv. Mater. Sci. 13, 59 (2006).Google Scholar
4Shan, Z.W.Mishra, R.K.Asif, S.A. Syed, Warren, O.L. and Minor, A.M.: Mechanical annealing and source-limited deformation in submicrometer-diameter nickel crystals. Nat. Mater. 7, 115 (2008).CrossRefGoogle Scholar
5Gane, N. and Cox, J.M.: Micro-hardness of metals at very low loads. Philos. Mag. 22, 881 (1970).CrossRefGoogle Scholar
6Samuels, L.E.: Microindetation Techniques in Materials Science and Engineering, edited by Blau, P.J. and Lawn, B.R. (ASTM STP, 1984), p. 5.Google Scholar
7Sargent, P.M.: Microindetation Techniques in Materials Science and Engineering, edited by Blau, P.J. and Lawn, B.R. (ASTM STP, 1984), p. 160.Google Scholar
8Guzman, M.S. De, Neubauer, G.Flinn, P. and Nix, W.D.: Role of indentation depth on the measured hardness of materials, in Thin Films: Stresses and Mechanical Properties IV, edited by Townsend, P.H.Weihs, T.P.Sanchez, J.E. Jr and Borgesen, P. (Mater. Res. Symp. Proc. 308, Pittsburgh, PA, 1993), p. 613.Google Scholar
9Ma, Q. and Clark, D.R.: Size dependent hardness of silver single crystals. J. Mater. Res. 10, 853 (1995).CrossRefGoogle Scholar
10Poole, W.J.Ashby, M.F. and Fleck, N.A.: Micro-hardness of annealed and work-hardened copper polycrystals. Scr. Metall. Mater. 34, 559 (1996).CrossRefGoogle Scholar
11Nix, W.D. and Gao, H.: Indentation size effects in crystalline materials: A law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411 (1998).CrossRefGoogle Scholar
12Gao, H.Haung, Y.Nix, W.D. and Hutchinson, J.W.: Mechanism-based strain gradient plasticity-I. Theory. J. Mech. Phys. Solids 48, 99 (1999).Google Scholar
13Stelmashenko, N.A.Walls, M.G.Brown, L.M. and Millman, Y.V.: Microindentations on W and Mo oriented single crystals: An STM study. Acta Metall. Mater. 41, 2855 (1993).CrossRefGoogle Scholar
14Fleck, N.A.Muller, M.G.Ashby, M.F. and Hutchinson, J.W.: Strain gradient plasticity: Theory and experiment. Acta Metall. Mater. 42, 475 (1994).CrossRefGoogle Scholar
15Elmustafa, A.A.Eastman, J.A.Rittner, M.N.Weertman, J.R. and Stone, D.S.: Indentation size effect: Large grained aluminum versus nanocrystalline aluminum-zirconium alloys. Scr. Mater. 43, 951 (2000).CrossRefGoogle Scholar
16Feng, G. and Nix, W.D.: Indentation size effect in MgO. Scr. Mater. 51, 599 (2004).CrossRefGoogle Scholar
17Huang, Y.Zhang, F.Hwang, K.C.Nix, W.D.Pharr, G.M. and Feng, G.: A model of size effects in nano-indentation. J. Mech. Phys. Solids 54, 1668 (2006).CrossRefGoogle Scholar
18Stone, D.S. and Yoder, K.B.: Division of the hardness of molybdenum into rate-dependent and rate-independent components. J. Mater. Res. 9, 2524 (1994).CrossRefGoogle Scholar
19Tambwe, M.F.Stone, D.S.Grffin, A.J.Kung, H.Lu, Y.C. and Natasi, M.: Haasen plot analysis of the Hall-Petch effect in Cu/Nb nanolayer composites. J. Mater. Res. 14, 407 (1999).CrossRefGoogle Scholar
20Klassen, R.J.Diak, B.J. and Saimoto, S.: Origin of the depth dependence of the apparent activation volume in polycrystalline 99.999% Cu determined by displacement rate change micro-indentation. Mater. Sci. Eng., A 387-389, 297 (2004).CrossRefGoogle Scholar
21Li, H. and Ngan, A.H.W.: Size effects of nanoindentation creep. J. Mater. Res. 19, 513 (2004).CrossRefGoogle Scholar
22Elmustafa, A.A. and Stone, D.S.: Nanoindentation and the indentation size effect: Kinetics of deformation and strain gradient plasticity. J. Mech. Phys. Solids 51, 357 (2002).CrossRefGoogle Scholar
23Bhakhri, V. and Klassen, R.J.: The depth dependence of the indentation creep of polycrystalline gold at 300 K. Scr. Mater. 55, 395 (2006).CrossRefGoogle Scholar
24Li, W.B.Henshall, J.L.Hooper, R.M. and Easterling, K.E.: Mechanisms of indentation creep. Acta Metall. Mater. 39, 3099 (1991).CrossRefGoogle Scholar
25Bhakhri, V. and Klassen, R.J.: Investigation of high-temperature plastic deformation using instrumented microindentation tests. Part II: The deformation of Al-based participate reinforced composites at 473 K to 833 K. J. Mater. Sci. 41, 2249 (2006).CrossRefGoogle Scholar
26Bhakhri, V. and Klassen, R.J.: Investigation of high-temperature plastic deformation using instrumented microindentation tests. Part I: The deformation of three aluminum alloys at 473 K to 833 K. J. Mater. Sci. 41, 2259 (2006).CrossRefGoogle Scholar
27Bahr, D.F.Kramer, D.E. and Gerberich, W.W.: Non-linear deformation mechanisms during nanoindentation. Acta Mater. 46, 3605 (1998).CrossRefGoogle Scholar
28Tymiak, N.I.Kramer, D.E.Bahr, D.F.Wyrobek, T.J. and Gerberich, W.W.: Plastic strain and strain gradients at very small indentation depths. Acta Mater. 49, 1021 (2001).CrossRefGoogle Scholar
29Goodal, R. and Clyne, T.W.: A critical appraisal of the extraction of creep parameters from nanoindentation data obtained at room temperature. Acta Mater. 54, 5489 (2006).CrossRefGoogle Scholar
30Wang, F. and Kewei, X.: An investigation of nanoindentation creep in polycrystalline Cu thin film. Mater. Lett. 58, 2345 (2004).Google Scholar
31Oliver, W.C. and Pharr, G.M.: Improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1654 (1992).CrossRefGoogle Scholar
32McElhaney, K.W.Vlassak, J.J. and Nix, W.D.: Determination of indenter tip geometry and indentation contact area for depth-sensing indentation experiments. J. Mater. Res. 13, 1300 (1998).CrossRefGoogle Scholar
33Zong, Z.Lou, J.Adewoye, O.O.Elmustafa, A.A.Hammad, F. and Soboyejo, W.O.: Indentation size effects in the nano- and micro-hardness of fcc single crystal metals. Mater. Sci. Eng., A 434, 178 (2006).CrossRefGoogle Scholar
34Kocks, U.F.Argon, A.S. and Ashby, M.F.: Thermodynamics and kinetics of slip. Prog. Mater. Sci. 19, 1 (1975).Google Scholar
35Frost, H.J. and Ashby, M.F.: Deformation-Mechanism Maps (Pergamon Press, Oxford, 1982), p. 21.Google Scholar
36Samuels, L.E. and Mulhearn, T.O.: An experimental investigation of the deformed zone associated with indentation hardness impressions. J. Mech. Phys. Solids 5, 125 (1957).CrossRefGoogle Scholar
37Atkins, A.G. and Tabor, D.: Plastic indentations in metals with cones. J. Mech. Phys. Solids 13, 149 (1965).CrossRefGoogle Scholar
38Xu, G. and Argon, A.: Homogeneous nucleation of dislocation loops under stress in perfect crystals. Philos. Mag. Lett. 80, 605 (2000).CrossRefGoogle Scholar
39Schuh, C.A.Mason, J.K. and Lund, A.C.: Quantitative insight into dislocation nucleation from high-temperature nanoindentation experiments. Nat. Mater 4, 617 (2005).CrossRefGoogle ScholarPubMed
40Mason, J.K.Lund, A.C. and Schuh, C.A.: Determining the activation energy and volume for the onset of plasticity during nanoindentation. Phys. Rev. B: Condens. Matter 73, 054102 (2006).CrossRefGoogle Scholar
41Mulford, R.A.: Analysis of strengthening mechanisms in alloys by means of thermal-activation theory. Acta Metall. 27, 1115 (1979).CrossRefGoogle Scholar
42Mecking, H. and Kocks, U.F.: Kinetics of flow and strain-hardening. Acta Metall. 29, 1865 (1981).CrossRefGoogle Scholar
43Siamoto, S. and Sang, H.: Re-examination of the Cottrell-Stokes relation based on precision measurements of the activation volume. Acta Metall. 31, 1873 (1983).CrossRefGoogle Scholar
44Bochniak, W.: Cottrell-Stokes law for f.c.c. single crystals. Acta Metall. 41, 3133 (1993).CrossRefGoogle Scholar
45Page, T.F.Oliver, W.C. and McHargue, C.J.: The deformation behaviour of ceramic crystals subjected to very low load (nano) indetations. J. Mater. Res. 7, 450 (1992).CrossRefGoogle Scholar
46Zelinski, W.Huang, H. and Gerberich, W.W.: Microscopy and microindentation mechanics of single crystal Fe-3wt% Si: Part II. TEM of indentation plastic zone. J. Mater. Res. 8, 1300 (1993).CrossRefGoogle Scholar
47Zelinski, W.Huang, H.Venkataraman, S. and Gerberich, W.W.: Dislocation distribution under a microindentation into an iron-silicon single crystal. Philos. Mag. A 72, 1221 (1995).CrossRefGoogle Scholar
48Kiener, D.Pippan, R.Motz, C. and Kreuzer, H.: Microstructural evolution of the deformed volume beneath microindents in tungsten and copper. Acta Mater. 54, 2801 (2006).CrossRefGoogle Scholar
49Wang, Y.Raabe, D.Kluber, C. and Roters, F.: Orientation dependence of nanoindentation pile-up patterns and of nanoindentation microtextures in copper single crystals. Acta Mater. 52, 2229 (2004).CrossRefGoogle Scholar
50Rester, R.Motz, C. and Pippan, R.: Microstructural investigation of the volume beneath nanoindentations in copper. Acta Mater. 55, 6427 (2007).CrossRefGoogle Scholar