On the Size Effect in Hardness by Nanoindentation Method

Article Preview

Abstract:

A model describing nanoindentation as plastic deformation resulting from a strain gradient is investigated. Using a simplified axisymmetric nanoindentation, the effective strain gradient for indentation depth is derived. The proposed indentation model is a modification of Nix and Gao’s model (1998) . To validate this approach for nanoindentation, solutions for depth-dependent hardness of single various materials such as Cu, Al, Ni are compared with experiments. Results show that the proposed model agrees well with the hardness experiments.

You might also be interested in these eBooks

Info:

Periodical:

Key Engineering Materials (Volumes 306-308)

Pages:

911-916

Citation:

Online since:

March 2006

Export:

Price:

[1] Nix, W. D.: Metall. Trans , Vol. 20A (1989), p.2217.

Google Scholar

[2] De Guzman, M. S., Newbauer, G.: Mater. Res. Sym. Proc. Vol. 308 (1993), p.613.

Google Scholar

[3] Stelmashenko, N. A., Walls, M. G., Brown, L. M., Milman, Y. V.: Acta Materialia Vol. 41 (1993), p.2855.

Google Scholar

[4] Ma, Q., Clarke, D. R.: J. Materials Research Vol 10 (1995), p.853.

Google Scholar

[5] McElhaney, K. W., Vlassak, J. J. and Nix, W. D.: J. Mater. Res. Vol. 13 (1997), p.1300.

Google Scholar

[6] Fleck, N. A., Muller, G. M., Ashby, M. F., Hutchinson, J. W.: Acta Metallurigica et Materialia Vol. 42 (1994), p.475.

Google Scholar

[7] Stolken, J. S., Evans, A. G.: Acta Materialia Vol. 46 (1998), p.509.

Google Scholar

[8] Elssner, G., Korn, D., Ruehle. M.: Scripta Metall. Mater. Vol. 31 (1994), p.1037.

Google Scholar

[9] Fleck, N. A., Hutchinson, J. W.: Advances in applied mechanics Vol. 33 (1997), p.295.

Google Scholar

[10] Gao, H., Huang, Y., Nix, W. D., Hutchinson, J. W.: J. Mech. Phys. Solids Vol. 47 (1999), p.1239.

Google Scholar

[11] Gao, H., Huang, Y., Nix, W. D., Hutchinson, J. W.:J. Mech. Phys. Solids Vol. 48 (2000), p.99.

Google Scholar

[12] Zhao, M., Slaughter, W. S., Li, M., Mao, S. X.: Acta Materialia Vol. 51 (2003), p.4461.

Google Scholar

[13] Kriese M, Robach J, Nelson J, Wright A, Bahr D, Kramer D et al.: Acta Materialia. Vol. 7 (1999), p.333.

Google Scholar

[14] Grunran JC, Gerberich WW, Tymiak NI, Kramer DE, Gerberich WW.: J. Appl. Mech Vol. 69 (2002), p.433.

Google Scholar

[15] Nix, W. D., Gao, H.: J. Mech. Phys. Solids Vol. 46 (1998), p.411.

Google Scholar

[16] Meyers MA, Chawla KK: Mechanical behavior of materials (Prentice-Hall 1999).

Google Scholar