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Reduced hardening of nanocrystalline nickel under multiaxial indentation loading

Published online by Cambridge University Press:  30 October 2015

Bill T.F. Tang ,
Yijian Zhou ,
Thomas Zabev ,
Iain Brooks  and
Uwe Erb
Bill T.F. Tang
Affiliation:
Department of Material Science and Engineering, University of Toronto, Toronto, Ontario M5S 3E4, Canada
Yijian Zhou*
Affiliation:
Department of Material Science and Engineering, University of Toronto, Toronto, Ontario M5S 3E4, Canada
Thomas Zabev
Affiliation:
Department of Material Science and Engineering, University of Toronto, Toronto, Ontario M5S 3E4, Canada
Iain Brooks
Affiliation:
Integran Technologies Inc., Mississauga, Ontario L4V 1H7, Canada
Uwe Erb
Affiliation:
Department of Material Science and Engineering, University of Toronto, Toronto, Ontario M5S 3E4, Canada
*
a)Address all correspondence to this author. e-mail: yijian.zhou@utoronto.ca
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Abstract

The work hardening behavior of electrodeposited nanocrystalline nickel (29 and 19 nm) was investigated under multiaxial loading and compared with coarse-grained nickel. Plastic strain gradients were introduced into the materials using large Rockwell D hardness indentations, and measured through cross-sectional hardness profiles. The results showed that the coarse-grained material exhibited substantial hardening up to twice the hardness of the deformation-free area due to dislocation mediated deformation, while the nanocrystalline materials displayed small hardness variations along the strain gradient, indicative of considerably reduced dislocation interactions. Moreover, the grain structure analysis (cumulative volume fraction and size distribution) for the nanocrystalline materials suggested the operation of both dislocation mediated and grain boundary controlled deformation mechanisms, the latter becoming more significant with increasing cumulative sample volume of very small grains. The plastic deformation zone sizes under Rockwell indentation of the 29 nm Ni are similar to those conventional materials with reduced strain hardening. Microhardness-indentation size effects were negligible in both the nanocrystalline and coarse-grained materials.

Keywords

nanostructured materialsstrain hardeningplastic deformation zoneelectron microscopyelectrodeposition
Type
Articles
Information
Journal of Materials Research , Volume 30 , Issue 22 , 27 November 2015 , pp. 3528 - 3541
Copyright
Copyright © Materials Research Society 2015 

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References

REFERENCES

Safranek, W.H.: The Properties of Electrodeposited Metals and Alloys (American Elsevier Pub. Co., New York, 1974).Google Scholar
Hughes, G.D., Smith, S.D., Pande, C.S., Johnson, H.R., and Armstrong, R.W.: Hall-petch strengthening for the microhardness of twelve nanometer grain diameter electrodeposited nickel. Scr. Metall. 20, 93 (1986).Google Scholar
El-Sherik, A.M., Erb, U., Palumbo, G., and Aust, K.T.: Deviations from Hall–Petch behaviour in as-prepared nanocrystalline nickel. Scr. Metall. Mater. 27, 1185 (1992).CrossRefGoogle Scholar
Wang, N., Wang, Z., Aust, K.T., and Erb, U.: Room temperature creep behaviour of nanocrystalline nickel produced by an electrodeposition technique. Mater. Sci. Eng., A 237, 150 (1997).CrossRefGoogle Scholar
Erb, U., Aust, K.T., and Palumbo, G.: Electrodeposited Nanocrystalline Metals, Alloys and Composites. In Nanostructured Materials, 2nd ed., Koch, C.C. ed.; William Andrew Publications: Norwich, New York, 2007; pp. 235–292.CrossRefGoogle Scholar
Kumar, K.S., Van Swygenhoven, H., and Suresh, S.: Mechanical behavior of nanocrystalline metals and alloys. Acta Mater. 51, 5743 (2003).Google Scholar
Koch, C.C.: Structural nanocrystalline materials: An overview. J. Mater. Sci. 42, 1403 (2007).Google Scholar
Ebrahimi, F., Zhai, Q., and Kong, D.: Deformation and fracture of electrodeposited copper. Scr. Mater. 39, 315 (1998).CrossRefGoogle Scholar
Dalla Torre, F., Van Swygenhoven, H., and Victoria, M.: Nanocrystalline electrodeposited Ni: Microstructure and tensile properties. Acta Mater. 50, 3957 (2002).Google Scholar
Ma, E.: Instabilities and ductility of nanocrystalline and ultrafine-grained metals. Scr. Mater. 49, 663 (2003).CrossRefGoogle Scholar
Koch, C.C.: Ductility in nanostructured and ultra fine-grained materials: Recent evidence for optimism. J. Metastable Nanocryst. Mater. 18, 9 (2003).Google Scholar
Kulovits, A., Wao, S.X., and Wiezovek, J.M.K.: Microstructural evolution in nanocrystalline Ni during cold-rolling. Acta Mater. 56, 4836 (2008).Google Scholar
Wu, X.L., Zhu, Y.T., Wei, Y.G., and Wei, Q.: Strong strain hardening in nanocrystalline nickel. Phys. Rev. Lett. 103, 20550 (2009).CrossRefGoogle ScholarPubMed
Meyers, M.A., Mishra, A., and Benson, D.J.: Mechanical properties of nanocrystalline materials. Prog. Mater. Sci. 51, 427 (2006).CrossRefGoogle Scholar
Schiotz, J., Di Tolla, F.D., and Jacobson, K.W.: Softening of nanocrystalline metals at very small grain sizes. Nature 391, 561 (1998).CrossRefGoogle Scholar
Van Swygenhoven, H.: Grain boundaries, and dislocations. Science 296, 66 (2002).Google Scholar
ASTM E18–08b: Specification for Test Method for Rockwell Hardness of Metallic Materials (ASTM International, West Conshohocken, PA, 2011).Google Scholar
Samuels, L.E.: Mechanical grinding, abrasion and polishing. In Metals Handbook, Metallography and Microstructures, 9th ed., Vol. 9, ASM Metals Park:OH, USA, 1985; pp. 33–47.Google Scholar
ASTM E384 – 10e2: Specification for Test Method for Knoop and Vickers Hardness of Materials (ASTM International, West Conshohocken, PA, 2004); pp. 86–109.Google Scholar
Giallonardo, J.D., Erb, U., Aust, K.T., and Palumbo, G.: The influence of grain size on the Young’s modulus of electrodeposited nanocrystalline nickel and nickel-iron alloys. Philos. Mag. 91, 4594 (2011).Google Scholar
Tang, B.T.F., Erb, U., and Brooks, I.: Strain hardening in polycrystalline and nanocrystalline nickel. Adv. Mater. Res. 409, 550 (2012).CrossRefGoogle Scholar
Conrad, H., Feuerstein, S., and Rice, L.: Effects of grain size on the dislocation density and flow stress of niobium. Mater. Sci. Eng. 2, 157 (1967).Google Scholar
Hou, X.D., Bushby, A.J., and Jennett, N.M.: Study of the interaction between the indentation size effect and Hall–Petch effect with spherical indenters on annealed polycrystalline copper. J. Phys. D: Appl. Phys. 41, 074006 (2008).CrossRefGoogle Scholar
Dunstan, D.J., Ehrler, B., Bossis, R., Joly, S., P’ng, K.M.Y., and Bushby, A.J.: Elastic limit and strain hardening of thin wires in torsion. Phys. Rev. Lett. 103, 15501 (2009).CrossRefGoogle ScholarPubMed
Bushby, A.J., Zhu, T.T., and Dunstan, D.J.: Slip distance model for the indentation size effect at the initiation of plasticity in ceramics and metals. J. Mater. Res. 24, 966 (2009).Google Scholar
Hou, X. and Jennett, N.M.: Application of a modified slip-distance theory to the indentation of single-crystal and polycrystalline copper to model the interactions between indentation size and structure size effects. Acta Mater. 60, 4128 (2012).Google Scholar
Hou, X., Jennett, N.M., and Parlinska-Wojtan, M.: Exploiting interactions between structure size and indentation size effects to determine the characteristic dimension of nano-structured materials by indentation. J. Phys. D: Appl. Phys. 46, 265301 (2013).CrossRefGoogle Scholar
Gale, W.F. and Totemeier, T.L. eds.: Smithhells Metals Reference Book, 8th ed. (Elsevier Butterworth-Heinemann, Burlington, MA, USA, 2004); pp. 22–67.Google Scholar
Tabor, D.: A Simple theory of static and dynamic hardness. Proc. R. Soc. London, Ser. A 192, 247 (1948).Google Scholar
Williams, G. and O’Neill, H.: Straining of metals by indentation including work-softening effects. J. Iron Steel Inst. 182, 266 (1956).Google Scholar
Atkins, A. and Tabor, D.: Plastic indentation in metals with cones. J. Mech. Phys. Solids 13, 149–164 (1965).Google Scholar
Chaudhri, M.: Subsurface plastic strain distribution around spherical indentations in metals. Philos. Mag. A74, 1213 (1996).Google Scholar
Revankar, G.: ASM Handbook, Mechanical Testing and Evaluation, Vol. 8 (Materials Park, Ohio, USA, 2000); p. 195.Google Scholar
Hill, R., Storakers, B., and Zdunek, A.B.: A theoretical study of the Brinell hardness test. Proc. R. Soc. London, Ser. A 423, 301 (1989).Google Scholar
Mata, M., Anglada, M., and Alcala, J.: Contact deformation regimes around sharp indentations and the concept of the characteristic strain. J. Mater. Res. 17, 964 (2002).Google Scholar
Mata, M., Casals, O., and Alcala, J.: The plastic zone size in indentation experiments: The analogy with the expansion of a spherical cavity. Int. J. Solids Struct. 43, 5994 (2006).CrossRefGoogle Scholar
Samuels, 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).Google Scholar
Dugdale, D.S.: Cone indentation experiments. J. Mech. Phys. Solids 2, 265 (1954).CrossRefGoogle Scholar
Chaudhri, M.: Subsurface deformation patterns around indentations in work-hardened mild steel. Philos. Mag. Lett. 67, 107 (1993).Google Scholar
Cheng, Y.T. and Li, Z.: Hardness obtained from conical indentations with various cone angles. J. Mater. Res. 15, 2830 (2000).Google Scholar
Thompson, A.W.: Effect of grain size on work hardening in nickel. Acta Metall. 25, 83 (1977).CrossRefGoogle Scholar
Sinclair, C.W., Poole, W.J., and Brechet, Y.: A model for the grain size dependent work hardening of copper. Scr. Mater. 55, 739 (2006).Google Scholar
Kozlov, E.V., Koneva, N.A., Trishkina, L.I., Zhdanov, A.N., and Fedorischeva, M.V.: Features of work hardening of polycrystals with nanograins. Mater. Sci. Forum 584, 35 (2008).Google Scholar
Franek, A., Kratochvil, J., Saxlova, M., and Sedlacek, R.: Synergetic approach to work hardening of metals. Mater. Sci. Eng., A 137, 119 (1991).Google Scholar
Taylor, G.I.: The mechanism of plastic deformation of crystals. Proc. R. Soc. London, Ser. A 145, 362 (1934).Google Scholar
Kuhlmann-Wilsdorf, D.: A new theory of workhardening. Trans. Metall. Soc. AIME 224, 1047 (1962).Google Scholar
Hertzberg, R.W.: Deformation, and Fracture Mechanics Of Engineering Materials, 3rd ed., (John Wiley & Sons, New York, 1989).Google Scholar
Hirth, J.P. and Lothe, J.: Theory of Dislocations, 2nd ed. (Wiley, New York, 1982).Google Scholar
Legros, M., Elliott, B.R., Rittner, M.N., Weertman, J.R., and Hemker, K.J.: Microsample tensile testing of nanocrystalline metals. Philos. Mag. A 80, 1017 (2000).Google Scholar
Hahn, H., Mondal, P., and Padmanabhan, K.A.: Plastic deformation of nanocrystalline materials. Nanostruct. Mater. 9, 603 (1997).Google Scholar
Van Swygenhoven, H., Spaczer, M., and Caro, A.: Microscopic description of plasticity in computer generated metallic nanophase samples: A comparison between Cu and Ni. Acta Mater. 47, 3117 (1999).Google Scholar
Conrad, H.: Grain size dependence of the plastic deformation kinetics in Cu. Mater. Sci. Eng., A 341, 216 (2003).CrossRefGoogle Scholar
Van Swygenhoven, H., Spaczer, M., Farkas, D., and Caro, A.: The role of grain size and the presence of low and high angle grain boundaries in the deformation mechanism of nanophase Ni: A molecular dynamics computer simulation. Nanostruct. Mater. 12, 323 (1999).Google Scholar
Van Swygenhoven, H., Derlet, P.M., and Hasnaoui, A.: Interaction between dislocations and grain boundaries under an indenter—A molecular dynamics simulation. Acta Mater. 52, 2251 (2004).Google Scholar
Yamakov, V., Wolf, D., Phillpot, S.R., Mukherjee, A.K., and Gleiter, H.: Deformation-mechanism map for nanocrystalline metals by molecular-dynamics simulation. Nat. Mater. 3, 43 (2004).Google Scholar
Giallonardo, J., Avramovic-Cingara, G., Palumbo, G., and Erb, U.: Microstrain and growth fault structures in electrodeposited nanocrystalline Ni and Ni-Fe alloys. J. Mater. Sci. 48, 6689 (2013).Google Scholar
Mehta, S.C., Smith, D.A., and Erb, U.: Study of grain growth in electrodeposited nanocrystalline nickel-1.2 wt% phosphorus alloy. Mater. Sci. Eng., A 204, 227 (1995).Google Scholar
Wu, X., Ma, E., and Zhu, Y.T.: Deformation defects in nanocrystalline nickel. J. Mater. Sci. 42, 1427 (2007).Google Scholar
Wang, Y.M., Hamza, A.V., and Ma, E.: Activation volume and density of mobile dislocations in plastically deforming nanocrystalline Ni. Appl. Phys. Lett. 86, 24197 (2005).Google Scholar
Shan, Z., Stach, E.A., Wiezorek, J.M.K., Knapp, J.A., Follstaedt, D.M., and Mao, S.X.: Grain boundary-mediated plasticity in nanocrystalline nickel. Science 305, 654 (2004).CrossRefGoogle ScholarPubMed
Gu, C.D., Lian, J.S., Jiang, Q., and Zheng, W.T.: Experimental and modelling investigations on strain rate sensitivity of an electrodeposited 20 nm grain sized Ni. J. Phys. D: Appl. Phys. 40, 7440 (2007).Google Scholar
Wang, Y.M. and Ma, E.: On the origin of ultrahigh cryogenic strength of nanocrystalline metals. Appl. Phys. Lett. 85, 2750 (2004).Google Scholar
Dalla Torre, F., Spatig, P., Schaublin, R., and Victoria, M.: Deformation behaviour and microstructure of nanocrystalline electrodeposited and high pressure torsioned nickel. Acta Mater. 53, 2337 (2005).Google Scholar
Wei, Y.J., Su, C., and Anand, L.: A computational study of the mechanical behavior of nanocrystalline fcc metals. Acta Mater. 54, 3177 (2006).CrossRefGoogle Scholar
Srinivas, M., Malakndaiah, G., and Rama Rao, P.: Fracture toughness of f.c.c. nickel and strain ageing b.c.c. iron in the temperature range 77–773 K. Acta Metall. Mater. 41, 1301 (1993).Google Scholar
Sanders, P.G., Youngdahl, C.J., and Weertman, J.R.: The strength of nanocrystalline metals with and without flaws. Mater. Sci. Eng., A 234, 77 (1997).Google Scholar
Ebrahimi, F., Bourne, D.G., Kelly, M.S., and Matthews, T.E.: Mechanical properties of nanocrystalline nickel produced by electrodeposition. Nanostruct. Mater. 11, 343 (1999).Google Scholar
Li, H. and Ebrahimi, F.: Synthesis and characterization of electrodeposited nanocrystalline nickel-iron alloys. Mater. Sci. Eng., A 347, 93 (2003).Google Scholar
Lu, L., Schwaiger, R., Shan, Z.W., Dao, M., Lu, K., and Suresh, S.: Nano-sized twins induce high rate sensitivity of flow stress in pure copper. Acta Mater. 53, 2169 (2005).Google Scholar
Lian, J. and Baudelet, B.: A modified Hall-petch relationship for Nanocrysalline materials. Nanostruct. Mater. 2, 415 (1993).Google Scholar
Masumura, R.A., Hazzledine, P.M., and Pande, C.S.: Yield stress of fine grained materials. Acta Mater. 46, 4527 (1998).Google Scholar
Conrad, H. and Narayan, J.: On the grain size softening in nanocrystalline materials. Scr. Mater. 42, 1025 (2000).CrossRefGoogle Scholar
Conrad, H. and Narayan, J.: Mechanisms for grain size hardening and softening in Zn. Acta Mater. 50, 5067 (2002).Google Scholar
Fan, G.J., Choo, H., Liaw, P.K., and Lavernia, E.J.: A model for the inverse Hall–Petch relation of nanocrystalline materials. Mater. Sci. Eng., A 409, 243 (2005).Google Scholar
Carlton, C.E. and Ferreira, P.J.: What is behind the inverse Hall–Petch effect in nanocrystalline materials? Acta Mater. 55, 3749 (2007).Google Scholar
Brooks, I., Lin, P., Palumbo, G., Hibbard, G.D., and Erb, U.: Analysis of hardness–tensile strength relationships for electroformed nanocrystalline materials. Mater. Sci. Eng., A 491, 412 (2008).Google Scholar