- Cited by 50
Troyon, M. and Huang, L. 2005. Critical Examination of the Two-slope Method in Nanoindentation. Journal of Materials Research, Vol. 20, Issue. 08, p. 2194.
Fu, Guanghui 2006. Effects of tip rounding on the fundamental relations used in the analysis of nanoindentation data. Materials Letters, Vol. 60, Issue. 29-30, p. 3855.
Huang, L. Lu, J. and Troyon, M. 2006. Nanomechanical properties of nanostructured titanium prepared by SMAT. Surface and Coatings Technology, Vol. 201, Issue. 1-2, p. 208.
Troyon, Michel and Huang, Liye 2006. Comparison of different analysis methods in nanoindentation and influence on the correction factor for contact area. Surface and Coatings Technology, Vol. 201, Issue. 3-4, p. 1613.
Chen, J. and Bull, S.J. 2006. A critical examination of the relationship between plastic deformation zone size and Young's modulus to hardness ratio in indentation testing. Journal of Materials Research, Vol. 21, Issue. 10, p. 2617.
Troyon, M. and Lafaye, S. 2006. About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements. Philosophical Magazine, Vol. 86, Issue. 33-35, p. 5299.
GUICCIARDI, Stefano and PEZZOTTI, Giuseppe 2007. Analysis of Berkovich Nanoindentation Loading Curves in SiC and SiO2 Materials. Journal of the Ceramic Society of Japan, Vol. 115, Issue. 1339, p. 186.
Meza, Juan Manuel Farias, María Cristina Moré Souza, Roberto Martinz de and Riaño, Luis Javier Cruz 2007. Using the ratio: maximum load over unload stiffness squared, Pm/Su², on the evaluation of machine stiffness and area function of blunt indenters on depth-sensing indentation equipment. Materials Research, Vol. 10, Issue. 4, p. 437.
Lee, Jin Haeng Lee, Hyungyil and Kim, Deok Hoon 2008. A numerical approach to evaluation of elastic modulus using conical indenter with finite tip radius. Journal of Materials Research, Vol. 23, Issue. 09, p. 2528.
Chang, Chia-Wei and Liao, Jiunn-Der 2008. Nano-indentation at the surface contact level: applying a harmonic frequency for measuring contact stiffness of self-assembled monolayers adsorbed on Au. Nanotechnology, Vol. 19, Issue. 31, p. 315703.
Chicot, D. and Mercier, D. 2008. Improvement in depth-sensing indentation to calculate the universal hardness on the entire loading curve. Mechanics of Materials, Vol. 40, Issue. 4-5, p. 171.
Meza, J.M. Abbes, F. and Troyon, M. 2008. Penetration depth and tip radius dependence on the correction factor in nanoindentation measurements. Journal of Materials Research, Vol. 23, Issue. 03, p. 725.
Zhang, Yang-Fei Bai, Shu-Lin Yang, Da-Yong Zhang, Zhong and Kao-Walter, Sharon 2008. Study on the viscoelastic properties of the epoxy surface by means of nanodynamic mechanical analysis. Journal of Polymer Science Part B: Polymer Physics, Vol. 46, Issue. 3, p. 281.
Chudoba, T and Jennett, N M 2008. Higher accuracy analysis of instrumented indentation data obtained with pointed indenters. Journal of Physics D: Applied Physics, Vol. 41, Issue. 21, p. 215407.
Tulliani, Jean-Marc Bartuli, Cecilia Bemporad, Edoardo Naglieri, Valentina and Sebastiani, Marco 2009. Preparation and mechanical characterization of dense and porous zirconia produced by gel casting with gelatin as a gelling agent. Ceramics International, Vol. 35, Issue. 6, p. 2481.
Rodríguez Pulecio, Sara Aida Moré Farias, María Cristina and Souza, Roberto Martins 2009. Analysis of the effects of conical indentation variables on the indentation response of elastic–plastic materials through factorial design of experiment. Journal of Materials Research, Vol. 24, Issue. 03, p. 1222.
Yang, Yun-Ta Liao, Jiunn-Der Lee, Yuh-Lang Chang, Chia-Wei and Tsai, Hui-Jung 2009. Ultra-thin phospholipid layers physically adsorbed upon glass characterized by nano-indentation at the surface contact level. Nanotechnology, Vol. 20, Issue. 19, p. 195702.
Aida Rodríguez Pulecio, Sara Cristina Moré Farias, María and Souza, Roberto Martins 2009. Analysis of the tip roundness effects on the micro- and macroindentation response of elastic–plastic materials. Journal of Materials Research, Vol. 24, Issue. 03, p. 1037.
Torres-Torres, D Muñoz-Saldaña, J Gutierrez-Ladron-de Guevara, L A Hurtado-Macías, A and Swain, M V 2010. Geometry and bluntness tip effects on elastic–plastic behaviour during nanoindentation of fused silica: experimental and FE simulation. Modelling and Simulation in Materials Science and Engineering, Vol. 18, Issue. 7, p. 075006.
Munoz-Paniagua, David J McDermott, Mark T Norton, Peter R and Tadayyon, Seyed M 2010. Direct Tip Shape Determination of a Berkovich Indenter: Effect on Nanomechanical Property Measurement and Description of a Worn Indenter. IEEE Transactions on Nanotechnology, Vol. 9, Issue. 4, p. 487.
Check if you have access via personal or institutional login
In the relationship between unloading contact stiffness, elastic modulus, and contact area, which is the fundamental basic equation for nanoindentation analysis, a multiplicative correction factor is generally needed. Sometimes this correction factor is called γ to take into account the elastic radial inward displacements, and sometimes it is called β to correct for the fact that the indenter shape is not a perfect cone. In reality, these two effects simultaneously coexist and thus it is proposed that this correction factor is α = βγ. From nanoindentation data measured on three materials of different elastic moduli with a sharp Berkovich indenter and a worn one, the tip of which was blunt, it is demonstrated that the correction factor α does not have a constant value for a given material and indenter type but depends on the indenter tip rounding and also on the deformation of the indenter during indentation. It seems that α increases with the tip radius and also with the elastic modulus of the measured materials.
Hide All1.Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 564 (1992).2.Martin, M. and Troyon, M.: Fundamental relations used in nanoindentation: Critical examination based on experimental measurements. J. Mater. Res. 17, 2227 (2002).3.Pharr, G.M., Oliver, W.C. and Brotzen, F.R.: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7, 613 (1992).4.King, R.B.: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Structures 23, 1657 (1987).5.Hay, J.C., Bolshakov, A. and Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 2296 (1999).6.Cheng, Y-T. and Cheng, C-M.: Further analysis of indentation loading curves: Effects of tip rounding on mechanical property measurements. J. Mater. Res. 13, 1059 (1998).7.Troyon, M. and Martin, M.: A critical examination of the P-h2 relationship in nanoindentation. Appl. Phys. Lett. 83, 863 (2003).8.Gong, J., Miao, H. and Peng, Z.: On the contact area for nanoindentation tests with Berkovich indenter: Case study on soda-lime glass. Mater. Lett. 58, 1349 (2004).9.Shih, C.W., Yang, M. and Li, J.C.M.: Effect of tip radius on nanoindentation. J. Mater. Res. 6, 2623 (1991).10.Lim, Y.Y. and Chaudhri, M.M.: Experimental investigations of the normal loading of elastic spherical and conical indenters on to elastic flats. Philos. Mag. 83, 3427 (2003).11.Chaudhri, M.M.: A note on a common mistake in the analysis of nanoindentation data. J. Mater. Res. 16, 336 (2001).12.Bolshakov, A. and Pharr, G.M.: Influences of pile-up on the measurement of mechanical properties by load and depth-sensing indentation techniques. J. Mater. Res. 13, 1049 (1998).
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
- ISSN: 0884-2914
- EISSN: 2044-5326
- URL: /core/journals/journal-of-materials-research
* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.
Usage data cannot currently be displayed