Hostname: page-component-848d4c4894-xfwgj Total loading time: 0 Render date: 2024-06-14T09:03:48.986Z Has data issue: false hasContentIssue false

Effect of Processing on Nix-Gao Bilinear Indentation Results Obtained for High Purity Iron

Published online by Cambridge University Press:  01 March 2018

Prasad Pramod Soman*
Michigan Technological University, Houghton, MI, United States.
Erik Gregory Herbert
Michigan Technological University, Houghton, MI, United States.
Katerina E Aifantis
Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, United States.
Stephen A Hackney
Michigan Technological University, Houghton, MI, United States.


Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Instrumented indentation of a high purity Fe surface with unresolved surface deformation due to mechanical polishing is compared to the same grain surface annealed at increasing time and temperature. The differences in indentation size effect behavior with annealing are correlated with hardness and electron backscatter diffraction measurements as independent measures of surface layer deformation. It is found that the Nix Gao plot evolves from non-linear (bilinear) towards the predicted linear relationship as the surface deformation is removed. The experimental observations are rationalized by inclusion of a depth dependent, polishing induced forest dislocation density within the Nix-Gao model.

Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © Materials Research Society 2018



Zhu, T. T., Bushby, A. J., Dunstan, Mater. Tech. 23, 193209 (2008)CrossRefGoogle Scholar
McElhaney, K. W., Vlassak, J. J., Nix, W. D., J. Mater. Res. 13, 13001306 (1998)CrossRefGoogle Scholar
Ma, Q., Clarke, D. R., J. Mater. Res. 10, 853863 (1995)Google Scholar
Fleck, N. A., Muller, G. M., Ashby, M. F., Hutchinson, J. W., Acta. Metall. Mater. 42, 475–87 (1994)Google Scholar
Gurtin, M. E., J. Mech. Phys. Solids 50, 532 (2002)CrossRefGoogle Scholar
Nix, W. D., Gao, H., J. Mech. Phys. Solids 46, 411425 (1998)CrossRefGoogle Scholar
Evers, L. P., Parks, D. M., Brekelmans, W. A. M., Geers, M. G. D., J. Mech. Phys. Solids 50, 24032424 (2002)Google Scholar
Pharr, G. M., Herbert, E. G., Gao, Y., Annu. Rev. Mater. Res. 40, 271292 (2010)Google Scholar
Durst, F. K., Backes, B., Goken, M., Scr. Mater. 52, 10931097 (2005)Google Scholar
Samuels, L. E., Journal of the Institute of Metals. 85, 5162 (1956)Google Scholar
Nes, E., Acta Metallurgica et Materialia 43, 6, 21892207 (1995)CrossRefGoogle Scholar
Zhigang, W., PhD Thesis, University of Tennessee, 2012Google Scholar
Backes, B., Huang, Y., Goken, M., Durst, K., J.Mat.Res., 24, 8, 11971207 (2008)CrossRefGoogle Scholar
Brewer, L. N., Field, D. P., Merriman, C. C. (2009) Springer, Mapping and Assessing Plastic Deformation Using EBSD. In: Schwartz, A., Kumar, M., Adams, B., Field, D. (eds) Electron Backscatter Diffraction in Materials Science. Springer, Boston, MAGoogle Scholar
Wilkinson, A.J., Dingly, D.J., Acta Metal. Mater. 39, 3047 (1991)Google Scholar