FINITE ELEMENT ANALYSIS OF NANOINDENTATION ON NANOLAMINATED MATERIALS
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.
Keywords:
mechanical testing, nanoindentation, finite element modeling, nanostructured materials nanolaminated materials,
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- [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.
- ISSN: 2667-4211
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2000
- Yayıncı: Eskişehir Teknik Üniversitesi