Skip to main content
Log in

Finite element simulation of nanoindentation tests using a macroscopic computational model

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The aim of this work was to develop a numerical procedure to simulate nanoindentation tests using a macroscopic computational model. Both theoretical and numerical aspects of the proposed methodology, based on the coupling of isotropic elasticity and anisotropic plasticity described with the quadratic criterion of Hill are presented to model this behaviour. The anisotropic plastic behaviour accounts for the mixed nonlinear hardening (isotropic and kinematic) under large plastic deformation. Nanoindentation tests were simulated to analyse the nonlinear mechanical behaviour of aluminium alloy. The predicted results of the finite element (FE) modelling are in good agreement with the experimental data, thereby confirming the accuracy level of the suggested FE method of analysis. The effects of some technological and mechanical parameters known to have an influence during the nanoindentation tests were also investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. W. Moore, M. T. Manzari and Y. L. Shen, Nanoindentation in elastoplastic materials: insights from numerical simulations, International Journal of Smart and Nano Materials, 1 (2) (2010) 95–114.

    Article  Google Scholar 

  2. E. Harvey, L. Ladani and M. Weaver, Complete mechanical characterization of nanocrystalline Al-Mg alloy using nanoindentation, Mechanics of Materials, 52 (2012) 1–11.

    Article  Google Scholar 

  3. J. D. Bressan, A. Tramontin and C. Rosa, Modeling of nanoindentation of bulk and thin film by finite element method, Wear, 258 (2005) 115–122.

    Article  Google Scholar 

  4. O. Sahin, O. Uzun, U. Kölemen and N. Uçar, Mechanical characterization for β-Sn single crystals using nanoindentation tests, Materials Characterization, 5 9 (2008) 427–434.

    Article  Google Scholar 

  5. Y. T. Cheng and C. M. Cheng, Scaling, dimensional analysis, and indentation measurements, Materials Science and Engineering R, 44 (2004) 91–149.

    Article  Google Scholar 

  6. G. M. Pharr, Measurement of mechanical properties by ultra- low load indentation, Materials Science and Engineering A, 253 (1998) 151–159.

    Article  Google Scholar 

  7. A. F. Gerday, M. Ben Bettaieb, L. Duchêne, N. Clement, H. Diarra and A. M. Habraken, Material behavior of the hexagonal alpha phase of a titanium alloy identified from nanoindentation tests, European Journal of Mechanics A/Solids, 30 (2011) 248–255.

    Article  MATH  Google Scholar 

  8. L. Li, L. Shen, G. Proust, C. K. S. Moy and G. Ranzi, Threedimensional crystal plasticity finite element simulation of nanoindentation on aluminium alloy 2024, Materials Science & Engineering A, 579 (2013) 41–49.

    Article  Google Scholar 

  9. J. Yan, A. M. Karlsson and X. Chen, Determining plastic properties of a material with residual stress by using conical indentation, Int. J. Solids Struct., 44 (2007) 3720–3737.

    Article  MATH  Google Scholar 

  10. Y. Liu, B. Wang, M. Yoshino, S. Roy, H. Lu and R. Komanduri, Combined numerical simulation and nanoindentation for determining mechanical properties of single crystal copper at mesoscale, J. Mech. Phys. Solids, 53 (2005) 2718. 2741.

    Article  MATH  Google Scholar 

  11. Y. Huang, A user-material subroutine incorporating single crystal plasticity in the abaqus finite element program, Internal Report, Harvard University (1991).

    Google Scholar 

  12. X. Huang and A. A. Pelegri, Finite element analysis on nanoindentation with friction contact at the film/substrate interface, Composites Science and Technology, 67 (2007) 1311–1319.

    Article  Google Scholar 

  13. N. A. Sakharova, J. V. Fernandes, J. M. Antunes and M. C. Olivier, Comparison between Berkovich, Vickers and conical indentation tests: A three-dimensional numerical simulation study, International Journal of Solids and Structures, 46 (2009) 1095–1104.

    Article  MATH  Google Scholar 

  14. F.-Y. Chen and R.-C. Chant, Study of the effect of imperfect tips on nanoindentation by FEM, Journal of Mechanical Science and Technology, 21 (2007) 1471–1476.

    Article  Google Scholar 

  15. A. Kim and K. Tunvir, Study of Al-Alloy foam compressive behavior based on instrumented sharp indentation technology, Journal of Mechanical Science and Technology, 20 (2006) 819–827.

    Article  Google Scholar 

  16. M. Rathinam, R. Thillaigovindan and P. Paramasivam, Nanoindentation of aluminum (100) at various temperatures, Journal of Mechanical Science and Technology, 23 (2009) 2652–2657.

    Article  Google Scholar 

  17. M. Khelifa and A. Celzard, Numerical analysis of flexural strengthening of timber beams reinforced with CFRP strips, Composite Structures, 111 (2014) 393–400.

    Article  Google Scholar 

  18. M. Khelifa, N. Vila Loperena, L. Bleron and A. Khennane, Analysis of CFRP strengthened timber beams, Journal of Adhesion Science and Technology, 28 (2014) 1–14.

    Article  Google Scholar 

  19. A. Khennane, M. Khelifa, L. Bleron and J. Viguier, Numerical modelling of ductile damage evolution in tensile and bending tests of timber structures, Mechanics of Materials, 68 (2014) 228–236.

    Article  Google Scholar 

  20. M. Khelifa and A. Khennane, Numerical analysis of the cutting forces in timber, ASCE Journal of Engineering Mechanics, 140 (2014) 523–530.

    Article  Google Scholar 

  21. F. Bentayeb, I. Tavakoli-Gheynani, M. El Ganaoui, A. Bouali and M. Khelifa, Modelling of nonlinear wooden columns reinforced by carbon fiber, Mechanics & Industry, 14 (2013) 219–225.

    Article  Google Scholar 

  22. R. Hill, A theory of yielding and plastic flow of anisotropic metals. Royal Soc, London Proc. (1948) 281.

    Google Scholar 

  23. ABAQUS, Theory manual, version 6.2. Hibbit, Karson & Sorensen, Inc. (2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mourad Khelifa.

Additional information

Recommended by Associate Editor Hyung Yil Lee

Mourad Khelifa graduated in Mechanical Engineering in 2001 and received his Ph.D. in Systems optimization in materials science in 2004 at the University of Technology of Troyes (France). From 2008, he is assistant professor at the School of Wood Science and Timber Engineering (ENSTIB) (Epinal, France). His scientific interests deal with and the characterization of material and structures, development of constitutive law of materials, development of processes and product modelling, and numerical and software development.

Vanessa Fierro graduated in Chemistry in 1993 at the University of Zaragoza (Spain), and obtained her Ph.D. in Sciences in 1998 from the same university. After working several years as a contractual researcher in France (IFPSolaize, IRC-Lyon), then at the Universitat Rovira i Virgili (Tarragona, Spain), she is now a full-time researcher of the National Centre for Scientific Research (CNRS) since 2006. Her present research deals with the preparation, characterisation and application of organic as well as inorganic materials.

Alain Celzard graduated in Chemical Physics in 1992 and received his Ph.D. in Materials Science in 1995 at the University Henri Poincaré (Nancy, France). From 2005, he is full-time professor at the School of Wood Science and Timber Engineering (ENSTIB) (Epinal, France) and was appointed member of the Institut Universitaire de France in 2010. His scientific interests deal with and solid-state chemistry and physics, and all kinds of materials ranging from disordered, porous, and related materials, to composites, ceramics or metals.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khelifa, M., Fierro, V. & Celzard, A. Finite element simulation of nanoindentation tests using a macroscopic computational model. J Mech Sci Technol 28, 3209–3217 (2014). https://doi.org/10.1007/s12206-014-0730-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-014-0730-1

Keywords

Navigation