Skip to main content
Log in

Materials characterisation part II: tip geometry of the Vickers indenter for microindentation tests

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This is the second of two papers by the authors associated with materials characterisation methods based on hardness testing. It is important to have knowledge of the tip geometry of the indenter employed in the hardness test as this affects the correctness of the value of contact area parameter used to determine the mechanical properties. In this paper, outcomes of a study concerned with the tip geometry of the Vickers microindenter are presented. Results from experiment are compared with results from published works and the most current accepted analytical models. A new non-contact methodology based on a residual imprint imaging process is developed and further compared with other methods using experimental and numerical analyses over a wide range of material properties. For confirmation, an assessment was undertaken using numerical dimensional analysis which permitted a large range of materials to be explored. It is shown that the proposed method is more accurate compared with other methods regardless of the mechanical properties of the material. The outcomes demonstrate that measuring contact area with the new method enhanced the overall relative error in the resulting mechanical properties including hardness and Young’s modulus of elasticity. It is also shown that the value of the contact area using actual indenter geometry obtained from experimental load-displacement analysis or FEM numerical analysis is more accurate than the value obtained from the assumption of perfect indenter geometry and hence can be used for materials with low strain hardening property.

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. Sneddon I (1948) Boussinesq’s problem for a rigid cone.

  2. Bulychev S, Alekhin V, Shorshorov M, Ternovskii A, Shnyrev G (1975) Determining Young’s modulus from the indentor penetration diagram. Ind Lab 41(9):1409–1412

    Google Scholar 

  3. Oliver WC, Pharr GM (1992) An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 7(06):1564–1583

    Article  Google Scholar 

  4. Doerner MF, Nix WD (1986) A method for interpreting the data from depth-sensing indentation instruments. J Mater Res 1(04):601–609

    Article  Google Scholar 

  5. Jamal M, Morgan M (2017) Materials characterisation part I: contact area of the Berkovich indenter for nanoindentation tests. IJAMT. doi:10.1007/s00170-017-0115-6

    Google Scholar 

  6. Martin M, Troyon M (2002) Fundamental relations used in nanoindentation: critical examination based on experimental measurements. J Mater Res 17(09):2227–2234

    Article  Google Scholar 

  7. Troyon M, Martin M (2003) A critical examination of the P-h2 relationship in nanoindentation. Appl Phys Lett 83:863

    Article  Google Scholar 

  8. Cheng Y-T, Cheng C-M (2004) Scaling, dimensional analysis, and indentation measurements. Materials Science and Engineering: R: Reports 44(4):91–149

    Article  MathSciNet  Google Scholar 

  9. Oliver WC, Pharr GM (2004) Measurement of hardness and elastic modulus by instrumented indentation: advances in understanding and refinements to methodology. J Mater Res 19(01):3–20

    Article  Google Scholar 

  10. Keryvin V, Gicquel S, Charleux L, Guin JP, Nivard M, Sangleboeuf JC (2014) Densification as the only mechanism at stake during indentation of silica glass? Key Eng Mater 606:53–60

    Article  Google Scholar 

  11. Lim Y, Chaudhri M, Enomoto Y (1999) Accurate determination of the mechanical properties of thin aluminum films deposited on sapphire flats using nanoindentations. J Mater Res 14(06):2314–2327

    Article  Google Scholar 

  12. Lim YY, Chaudhri MM (1999) The effect of the indenter load on the nanohardness of ductile metals: an experimental study on polycrystalline work-hardened and annealed oxygen-free copper. Philosophical Magazine A 79(12):2979–3000

    Article  Google Scholar 

  13. Bec S, Tonck A, Georges J-M, Roper GW (2004) Synergistic effects of MoDTC and ZDTP on frictional behaviour of tribofilms at the nanometer scale. Tribol Lett 17(4):797–809

    Article  Google Scholar 

  14. Charleux L, Keryvin V, Nivard M, Guin J-P, Sanglebœuf J-C, Yokoyama Y (2014) A method for measuring the contact area in instrumented indentation testing by tip scanning probe microscopy imaging. Acta Mater 70:249–258

    Article  Google Scholar 

  15. Gerberich W, Nelson J, Lilleodden E, Anderson P, Wyrobek J (1996) Indentation induced dislocation nucleation: the initial yield point. Acta Mater 44(9):3585–3598

    Article  Google Scholar 

  16. Lilleodden ET, B. W, Nelson J, Wyrobek JT (1995) In situ imaging of Mu-N load indents into gas. J Mater Res 10(9):2162–2165

    Article  Google Scholar 

  17. Lichinchi M, Lenardi C, Haupt J, Vitali R (1998) Simulation of Berkovich nanoindentation experiments on thin films using finite element method. Thin Solid Films 312(1):240–248

    Article  Google Scholar 

  18. Poon B, Rittel D, Ravichandran G (2008) An analysis of nanoindentation in elasto-plastic solids. Int J Solids Struct 45(25):6399–6415

    Article  MATH  Google Scholar 

  19. Poon B, Rittel D, Ravichandran G (2008) An analysis of nanoindentation in linearly elastic solids. Int J Solids Struct 45(24):6018–6033

    Article  MATH  Google Scholar 

  20. Pharr G, Oliver W, Brotzen F (1992) On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J Mater Res 7(03):613–617

    Article  Google Scholar 

  21. Swaddiwudhipong S, Hua J, Tho K, Liu Z (2006) Equivalency of Berkovich and conical load-indentation curves. Model Simul Mater Sci Eng 14(1):71

    Article  Google Scholar 

  22. Prager W (1955) The theory of plasticity: a survey of recent achievements. Proceedings of the Institution of Mechanical Engineers 169(1): 41–57

  23. Khoei A (2010) Computational plasticity in powder forming processes, Elsevier

  24. Keryvin V (2007) Indentation of bulk metallic glasses: relationships between shear bands observed around the prints and hardness. Acta Mater 55(8):2565–2578

    Article  Google Scholar 

  25. Version A (2014) 6.14 documentation collection. ABAQUS/CAE User’s Manual

  26. Cheng Y-T, Cheng C-M (1998) Scaling approach to conical indentation in elastic-plastic solids with work hardening. J Appl Phys 84(3):1284–1291

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Jamal.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jamal, M., Morgan, M.N. Materials characterisation part II: tip geometry of the Vickers indenter for microindentation tests. Int J Adv Manuf Technol 92, 897–908 (2017). https://doi.org/10.1007/s00170-017-0176-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-017-0176-6

Keywords

Navigation