Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T13:33:01.264Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite element study for nanoindentation measurements on two-phase materials

Published online by Cambridge University Press:  03 March 2011

Karsten Durst ,
Mathias Göken  and
Horst Vehoff
Karsten Durst
Affiliation:
Materials Science, University Erlangen, Erlangen, Germany
Mathias Göken
Affiliation:
Materials Science, University Erlangen, Erlangen, Germany
Horst Vehoff
Affiliation:
Materials Science, Saarland University, Saarbrücken, Germany
Get access

Abstract

Finite element simulations of conical indentations in two-phase elastic–plastic materials were used to investigate the influence of the shape and the aspect ratio of particles embedded in a matrix material on the deformation behavior and hardness during depth-sensing indentation. Starting with single-phase materials, pile-up behavior and its influence on the contact area was studied. Particle–matrix systems were simulated for elastic–perfectly plastic particles embedded in a matrix, with a yield-strength ratio of 2 or 0.5, respectively. The simulations were motivated by indentation experiments in precipitation hardened nickel-base superalloy with a nanoindenting atomic force microscope. In the studied alloys, the matrix formed channels with a thickness of about 100 nm around the precipitates with diameters of about 500 nm. The simulations explained an experimentally observed transition from particle to matrix deformation behavior during indentation. Depth limits in hardness testing in particle–matrix systems were evaluated. Depending on the aspect ratio, soft and hard particles were tested reliably up to a normalized contact radius of about 70% particle diameter.

Keywords

NanoindentationHardnessScanning probe microscopy (SPM)
Type
Articles
Information
Journal of Materials Research , Volume 19 , Issue 1 , January 2004 , pp. 85 - 93
Copyright
Copyright © Materials Research Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Pharr, G.M., Mater. Sci. Eng. A 253, 151 (1998).Google Scholar
2.Bushan, B., Kulkarni, A.V., Bonin, W., Wyrobek, J.T., Philos. Mag. A. 75, 1117 (1996).CrossRefGoogle Scholar
3.Durst, K. and Göken, M., Prakt. Metallogr. 38, 197 (2001).CrossRefGoogle Scholar
4.Furnemont, Q., Kempf, M., Jacques, P., Göken, M. and Delannay, F., Mater. Sci. Eng. A. 328, 26 (2002).Google Scholar
5.Kempf, M., Göken, M. and Vehoff, H., Mater. Sci. Eng. A 329, 184 (2000).Google Scholar
6.Durst, K., Göken, M. and Pharr, G.M., Z. Metallkd. 93, 857 (2002).CrossRefGoogle Scholar
7.Bolshakov, A. and Pharr, G.M., J. Mater. Res. 13, 1049 (1998).CrossRefGoogle Scholar
8.Oliver, W.C. and Pharr, G.M., J. Mater. Res. 7, 1564 (1992).Google Scholar
9.Tsui, T.Y., Vlassak, J. and Nix, W.D., J. Mater. Res. 14, 2196 (1999).Google Scholar
10.Tsui, T.Y., Joost, Vlassak andNix, W.D., J. Mater. Res. 14, 2204 (1999).CrossRefGoogle Scholar
11.Sun, Y., Bell, T. and Zheng, S., Thin Solid Films 258, 198 (1995).Google Scholar
12.Laursen, T.A. and Simon, J.C., J. Mater. Res. 7, 618 (1992).Google Scholar
13.Kozola, B.D. and Shen, Y-L., J. Mater. Sci. 38, 901 (2003).Google Scholar
14.Kim, H.S., Bush, M.K. and Estrin, Y., Mater. Sci. Eng. A 276, 175 (2000).CrossRefGoogle Scholar
15.Durst, K., Pyczak, F., Biermann, H., Göken, M., Mughrabi, H. and Vehoff, H., in Microstructural and Micromechanical charac-terization of Nickel-base superalloys by CBED and Nanoindentation Investigations, MATERIALS WEEK 2002 – Proceedings, edited by Germany, , Werkstoffwoche-Partnerschaft, (Werkstoff-Informationsgesellschaft mbH, Frankfurt, 2002).Google Scholar
16.Nix, W.D. and Gao, H., J. Mech. Phys. Solids 46, 411 (1998).CrossRefGoogle Scholar
17.Page, T.F., Oliver, W.C. and McHargue, C.J., J. Mater. Res. 7, 450 (1992).CrossRefGoogle Scholar
18.Johnson, K.L., Contact Mechanics (Cambridge University Press, Cambridge, 1985).Google Scholar