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Hierarchical modeling of nanoindentation and microstructural evolution of face-centered cubic gold aggregates

Published online by Cambridge University Press:  03 March 2011

Jeong Beom Ma ,
M.A. Zikry ,
W.M. Ashamwi  and
D.W. Brenner
Jeong Beom Ma
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
M.A. Zikry*
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
W.M. Ashamwi
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
D.W. Brenner
Affiliation:
Department of Materials Science, North Carolina State University, Raleigh, North Carolina 27606
*
a) Address all correspondence to this author. e-mail: zikry@ncsu.edu
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Abstract

A hierarchical computational method has been developed and used with a finite-element microstructurally based dislocation density multiple-slip crystalline formulation to predict how nanoindentation affects behavior in face-centered cubic crystalline aggregates at scales that span the molecular to the continuum level. Displacement profiles from molecular dynamics simulations of nanoindentation were used to obtain scaling relations, which are based on indented depths, grain-sizes, and grain aggregate distributions. These scaling relations are then used to coarsen grains in a microstructurally based finite-element formulation that accounts for dislocation density evolution, crystalline structures, and grain-sizes. This computational approach was validated with a number of experimental measurements pertaining to single gold crystals. This hierarchical model provides a methodology to link molecular level simulations with a microstructurally based finite element method formulation that can be used to ascertain inelastic effects, such as shear-slip distribution, pressure accumulation, and dislocation density and slip-rate evolution at physical scales that are commensurate with ductile behavior at the microstructural scale.

Keywords

CrystallineMicrostructureNanostructure
Type
Articles
Information
Journal of Materials Research , Volume 22 , Issue 3 , March 2007 , pp. 627 - 643
Copyright
Copyright © Materials Research Society 2007

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References

REFERENCES

1Lim, Y.Y. and Chaudhri, M.M.: Nanohardness mapping of the curved surface of a spherical macroindentation in fully annealed polycrystalline oxgyen-free copper. Phys. Status Solidi A 194, 19 (2002).3.0.CO;2-I>CrossRefGoogle Scholar
2Gane, N. and Bowden, F.P.: Microdeformation of solids. J. Appl. Phys. 39, 1432 (1968).CrossRefGoogle Scholar
3Greer, J.R. and Nix, W.D.: Size dependence of mechanical properties of gold at the sub-micron scale. Appl. Phys. A Mater. Sci. Proc. 80, 1625 (2005).CrossRefGoogle Scholar
4Gerberich, W.W., Tymiak, N.I., Grunlan, J.C., Horstemeyer, M.F., and Baskes, M.I.: Interpretations of indentation size effects. J. Appl. Mech. Trans. ASME 69, 433 (2002).CrossRefGoogle Scholar
5Smith, J.F. and Zheng, S.: High temperature nanoscale mechanical property measurements. Surf. Eng. 16, 143 (2000).CrossRefGoogle Scholar
6Michalske, T.A. and Houston, J.E.: Dislocation nucleation at nano-scale mechanical contacts. Acta Mater. 46, 391 (1998).CrossRefGoogle Scholar
7Kiely, J.D. and Houston, J.E.: Nanomechanical properties of Au (111), (001), and (110) surfaces. Phys. Rev. B 57, 12588 (1998).CrossRefGoogle Scholar
8Kiely, J.D., Jarausch, K.F., Houston, J.E., and Russell, P.E.: Initial stages of yield in nanoindentation. J. Mater. Res. 14, 2219 (1999).CrossRefGoogle Scholar
9Tawara, T., Matsukawa, Y., and Kiritani, M.: Defect structure of gold introduced by high-speed deformation. Mater. Sci. Eng., A 350, 70 (2003).CrossRefGoogle Scholar
10Kreuzer, H.G.M. and Pippan, R.: Discrete dislocation simulation of nanoindentation. Comput. Mech. 33, 292 (2004).CrossRefGoogle Scholar
11Schall, J.D. and Brenner, D.W.: Atomistic simulation of the influence of pre-existing stress on the interpretation of nanoindentation data. J. Mater. Res. 19, 3172 (2004).CrossRefGoogle Scholar
12Zimmerman, J.A., Kelchner, C.L., Klein, P.A., Hamilton, J.C., and Foiles, S.M.: Surface step effects on nanoindentation. Phys. Rev. Lett. 8716, 165507 (2001).CrossRefGoogle Scholar
13Knap, J. and Ortiz, M.: Effect of indenter-radius size on Au(001) nanoindentation. Phys. Rev. Lett. 90, 226102 (2003).CrossRefGoogle ScholarPubMed
14Kelchner, C.L., Plimpton, S.J., and Hamilton, J.C.: Dislocation nucleation and defect structure during surface indentation. Phys. Rev. B 58, 11085 (1998).CrossRefGoogle Scholar
15Knapp, J.A., Follstaedt, D.M., and Myers, S.M.: Evaluating micromechanical properties at surfaces using nanoindentation with finite-element modeling. Int. J. Damage Mech. 12, 377 (2003).CrossRefGoogle Scholar
16Hasnaoui, A., Derlet, P.M., and Van Swygenhoven, H.: Interaction between dislocations and grain boundaries under an indenter—A molecular dynamics simulation. Acta Mater. 52, 2251 (2004).CrossRefGoogle Scholar
17Shilkrot, L.E., Curtin, W.A., and Miller, R.E.: A coupled atomistic/continuum model of defects in solids. J. Mech. Phys. Solids 50, 2085 (2002).CrossRefGoogle Scholar
18Miller, R.E., Shilkrot, L.E., and Curtin, W.A.: A coupled atomistics and discrete dislocation plasticity simulation of nanoindentation into single crystal thin films. Acta Mater. 52(2), 271 (2004).CrossRefGoogle Scholar
19Jeng, Y.R. and Tan, C.M.: Study of nanoindentation using FEM atomic model. J. Tribol. Trans. ASME 126, 767 (2004).CrossRefGoogle Scholar
20Choi, Y., Van Vliet, K.J., Li, J., and Suresh, S.: Size effects on the onset of plastic deformation during nanoindentation of thin films and patterned lines. J. Appl. Phys. 94, 6050 (2003).CrossRefGoogle Scholar
21Phillips, R., Rodney, D., Shenoy, V., Tadmor, E., and Ortiz, M.: Hierarchical models of plasticity: Dislocation nucleation and interaction. Modell. Simul. Mater. Sci. Eng. 7, 769 (1999).CrossRefGoogle Scholar
22Suresh, S., Nieh, T.G., and Choi, B.W.: Nano-indentation of copper thin films on silicon substrates. Scripta Mater. 41, 951 (1999).CrossRefGoogle Scholar
23Lilleodden, E.T., Zimmerman, J.A., Foiles, S.M., and Nix, W.D.: Atomistic simulations of elastic deformation and dislocation nucleation during nanoindentation. J. Mech. Phys. Solids 51, 901 (2003).CrossRefGoogle Scholar
24Matsukawa, Y., Yasunaga, K., Komatsu, M., and Kiritani, M.: Dynamic observation of dislocation-free plastic deformation in gold thin foils. Mater. Sci. Eng., A 350, 8 (2003).CrossRefGoogle Scholar
25Zikry, M.A. and Kao, M.: Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries. J. Mech. Phys. Solids 44, 1765 (1996).CrossRefGoogle Scholar
26Ashmawi, W.M. and Zikry, M.A.: Void nucleation and grain-boundary interfacial properties in ductile materials. Philos. Mag. A 83, 391 (2003).Google Scholar
27Zikry, M.A.: An accurate and stable algorithm for high strain-rate finite strain plasticity. Comput. Struct. 50, 337 (1994).CrossRefGoogle Scholar
28McCann, M.M. and Corcoran, S.G.: Nanoindentation behavior of gold single crystals, in Thin Films–Stresses and Mechanical Properties X, edited by Corcoran, S.G., Joo, Y-C., Moody, N.R. and Suo, Z. (Mater. Res. Soc. Symp. Proc. 795, Warrendale, PA, 2004), p. U8.30.1.Google Scholar
29Kameda, T. and Zikry, M.A.: Intergranular and transgranular crack growth at triple junction boundaries in ordered intermetallics. Int. J. Plast. 14, 689 (1998).CrossRefGoogle Scholar
30Li, X.D., Nardi, P., Baek, C.W., Kim, J.M., and Kim, Y.K.: Direct nanomechanical machining of gold nanowires using a nanoindenter and an atomic force microscope. J. Micromech. Microeng. 15, 551 (2005).CrossRefGoogle Scholar
31Corcoran, S.G., Colton, R.J., Lilleodden, E.T., and Gerberich, W.W.: Anomalous plastic deformation at surfaces: Nanoindentation of gold single crystals. Phys. Rev. B 55, 16057 (1997).CrossRefGoogle Scholar