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Year 2018, Volume: 19 Issue: 4, 991 - 1000, 31.12.2018
https://doi.org/10.18038/aubtda.446535

Abstract

References

  • [1] Oliver WC, Pharr GM. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 1992; 7: 1564–1583.
  • [2] Tabor D. The Hardness of Metals. Oxford, UK:OUP, 2000.
  • [3] Tirupataiah Y, Sundararajan G. On the constraint factor associated with the indentation of work-hardening materials with a spherical ball. Metall Trans A 1991; 22: 2375–2384.
  • [4] Hahn R, Bartosik M, Soler R, Kirchlechner C, Dehm G, Mayrhofer PH. Superlattice effect for enhanced fracture toughness of hard coatings. Scripta Materialia 2016; 124: 67–70.
  • [5] Misra A, Hirth JP, Hoagland RG. Length-scale-dependent deformation mechanisms in incoherent metallic multilayered composites. Acta Mater 2005; 53: 4817–4824.
  • [6] Knapp JA, Follstaedt DM, Myers SM, Barbour JC, Friedmann TA. Finite-element modeling of nanoindentation. J Appl Phys 1999; 85: 1460–1474.
  • [7] Xu Z-H, Rowcliffe D. Finite element analysis of substrate effects on indentation behaviour of thin films. Thin Solid Films 2004; 447–448: 399–405.
  • [8] Lichinchi M, Lenardi C, Haupt J, Vitali R. Simulation of Berkovich nanoindentation experiments on thin films using finite element method. Thin Solid Films 1998; 312: 240–248.
  • [9] Wang Y. Effects of indenter angle and friction on the mechanical properties of film materials. Results in Physics 2016; 6: 509–514.
  • [10] Huang X, Pelegri AA. Finite element analysis on nanoindentation with friction contact at the film/substrate interface. Comp Sci Tech 2007; 67: 1311–1319.
  • [11] Sneddon IN. The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile. Int J Eng Sci 1965; 3: 47–57.
  • [12] Mara NA, Bhattacharyya D, Dickerson P, Hoagland RG, Misra A. Deformability of ultrahigh strength 5nmCu∕Nb nanolayered composites. Appl Phys Lett 2008; 92: 231901.
  • [13] Demkowicz MJ, Hoagland RG, Hirth JP. Interface Structure and Radiation Damage Resistance in Cu-Nb Multilayer Nanocomposites. Phys Rev Lett 2008; 100: 136102.
  • [14] Özerinç S, Tai K, Vo NQ, Bellon P, Averback RS, King WP. Grain boundary doping strengthens nanocrystalline copper alloys. Scripta Mater 2012; 67: 720–723.
  • [15] Popova EN, Popov VV, Romanov EP, Pilyugin VP. Effect of the degree of deformation on the structure and thermal stability of nanocrystalline niobium produced by high-pressure torsion. Phys Metals Metallogr. 2007; 103: 407–413.
  • [16] Huang H, Spaepen F. Tensile testing of free-standing Cu, Ag and Al thin films and Ag/Cu multilayers. Acta Mater 2000; 48: 3261–3269.
  • [17] Beyerlein IJ, Mara NA, Carpenter JS, Nizolek T, Mook WM, Wynn TA, McCabe RJ, Mayeur JR, Kang K, Zhen S, et al. Interface-driven microstructure development and ultra high strength of bulk nanostructured Cu-Nb multilayers fabricated by severe plastic deformation. J Mater Res 2013; 28: 1799–1812. [18] Bahr DF, Kramer DE, Gerberich WW. Non-linear deformation mechanisms during nanoindentation. Acta Mater 1998; 46: 3605–3617.

FINITE ELEMENT ANALYSIS OF NANOINDENTATION ON NANOLAMINATED MATERIALS

Year 2018, Volume: 19 Issue: 4, 991 - 1000, 31.12.2018
https://doi.org/10.18038/aubtda.446535

Abstract

Nanoindentation is a widely used tool for probing the mechanical properties of materials at the nanoscale. The analysis of the load-displacement curve obtained from nanoindentation provides the hardness and elastic modulus of the material. While hardness is a useful parameter for comparing different alloys and understanding tribological behavior, yield strength is a more useful parameter for alloy design and application in general. The yield strength of a nanoindentation-tested material can be estimated by combining the hardness result with the Tabor factor. This approach is well-established for homogeneous and isotropic materials; however, the application of the approach to recently developed laminated nanocomposites requires a better understanding of the plasticity under nanoindentation. Due to the complicated stress state and the nonhomogeneous geometry of the nanolaminated structure, there is a need to employ numerical methods for this analysis. In this study, the mechanical behavior of a model system of nanolaminated Cu-Nb under nanoindentation was investigated, through modeling the test using finite element method. The force-controlled simulation provided the load-displacement curve that would be obtained from an actual experiment, and Oliver-Pharr method was employed to obtain the hardness of the nanocomposite. The results show that the rule-of-mixture is a good approximation for estimating the nanoindentation hardness of the composites, if the mechanical properties of the constituents are known.

References

  • [1] Oliver WC, Pharr GM. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 1992; 7: 1564–1583.
  • [2] Tabor D. The Hardness of Metals. Oxford, UK:OUP, 2000.
  • [3] Tirupataiah Y, Sundararajan G. On the constraint factor associated with the indentation of work-hardening materials with a spherical ball. Metall Trans A 1991; 22: 2375–2384.
  • [4] Hahn R, Bartosik M, Soler R, Kirchlechner C, Dehm G, Mayrhofer PH. Superlattice effect for enhanced fracture toughness of hard coatings. Scripta Materialia 2016; 124: 67–70.
  • [5] Misra A, Hirth JP, Hoagland RG. Length-scale-dependent deformation mechanisms in incoherent metallic multilayered composites. Acta Mater 2005; 53: 4817–4824.
  • [6] Knapp JA, Follstaedt DM, Myers SM, Barbour JC, Friedmann TA. Finite-element modeling of nanoindentation. J Appl Phys 1999; 85: 1460–1474.
  • [7] Xu Z-H, Rowcliffe D. Finite element analysis of substrate effects on indentation behaviour of thin films. Thin Solid Films 2004; 447–448: 399–405.
  • [8] Lichinchi M, Lenardi C, Haupt J, Vitali R. Simulation of Berkovich nanoindentation experiments on thin films using finite element method. Thin Solid Films 1998; 312: 240–248.
  • [9] Wang Y. Effects of indenter angle and friction on the mechanical properties of film materials. Results in Physics 2016; 6: 509–514.
  • [10] Huang X, Pelegri AA. Finite element analysis on nanoindentation with friction contact at the film/substrate interface. Comp Sci Tech 2007; 67: 1311–1319.
  • [11] Sneddon IN. The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile. Int J Eng Sci 1965; 3: 47–57.
  • [12] Mara NA, Bhattacharyya D, Dickerson P, Hoagland RG, Misra A. Deformability of ultrahigh strength 5nmCu∕Nb nanolayered composites. Appl Phys Lett 2008; 92: 231901.
  • [13] Demkowicz MJ, Hoagland RG, Hirth JP. Interface Structure and Radiation Damage Resistance in Cu-Nb Multilayer Nanocomposites. Phys Rev Lett 2008; 100: 136102.
  • [14] Özerinç S, Tai K, Vo NQ, Bellon P, Averback RS, King WP. Grain boundary doping strengthens nanocrystalline copper alloys. Scripta Mater 2012; 67: 720–723.
  • [15] Popova EN, Popov VV, Romanov EP, Pilyugin VP. Effect of the degree of deformation on the structure and thermal stability of nanocrystalline niobium produced by high-pressure torsion. Phys Metals Metallogr. 2007; 103: 407–413.
  • [16] Huang H, Spaepen F. Tensile testing of free-standing Cu, Ag and Al thin films and Ag/Cu multilayers. Acta Mater 2000; 48: 3261–3269.
  • [17] Beyerlein IJ, Mara NA, Carpenter JS, Nizolek T, Mook WM, Wynn TA, McCabe RJ, Mayeur JR, Kang K, Zhen S, et al. Interface-driven microstructure development and ultra high strength of bulk nanostructured Cu-Nb multilayers fabricated by severe plastic deformation. J Mater Res 2013; 28: 1799–1812. [18] Bahr DF, Kramer DE, Gerberich WW. Non-linear deformation mechanisms during nanoindentation. Acta Mater 1998; 46: 3605–3617.
There are 17 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Sezer Özerinç This is me

Publication Date December 31, 2018
Published in Issue Year 2018 Volume: 19 Issue: 4

Cite

AMA Özerinç S. FINITE ELEMENT ANALYSIS OF NANOINDENTATION ON NANOLAMINATED MATERIALS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. December 2018;19(4):991-1000. doi:10.18038/aubtda.446535