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Determination of the elastic modulus of microscale ceramic particles via nanoindentation

Published online by Cambridge University Press:  03 March 2011

J.W. Leggoe
J.W. Leggoe*
Affiliation:
Department of Chemical Engineering, Texas Tech University, Box 43121, Lubbock, Texas 79409
*
a)Address all correspondence to this author.e-mail: Jeremy.Leggoe@ttu.edu
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Abstract

Nanoindentation of the reinforcement in a particulate reinforced metal matrix composite (PR MMC) enables direct investigation of reinforcement properties within the finished material. Mismatch between the elastic moduli of the reinforcement and matrix creates a “secondary indentation” effect, whereby the stiffer reinforcement particles themselves “indent” the more compliant matrix. A finite-element investigation was undertaken to quantify the additional penetration arising under secondary indentation for spherical and cylindrical particles. Modification of Sneddon’s equation for a flat punch by a scalar particle shape factor provided an accurate estimate of the additional penetration. The modified equation was combined with the analysis of Field and Swain to extract the particle elastic modulus from results obtained using a spherical indenter under a multiple partial-unloading indentation regime. The resulting methodology was used to determine the elastic moduli of silicon carbide particles and MicralTM microspheres in two aluminum-matrix PR MMCs.

Keywords

NanoindentationCompositeElastic properties
Type
Articles
Information
Journal of Materials Research , Volume 19 , Issue 8 , August 2004 , pp. 2437 - 2447
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1.Oliver, W.C. and Pharr, G.M.Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19, 3 (2004).CrossRefGoogle Scholar
2.Bradby, J.E., Williams, J.S. and Swain, M.V.Pop-in events induced by spherical indentation in compound semiconductors. J. Mater. Res. 19, 380 (2004).CrossRefGoogle Scholar
3.Lawn, B.R.Fracture and deformation in brittle solids: A perspective on the issue of scale. J. Mater. Res. 19, 22 (2004).CrossRefGoogle Scholar
4.Leggoe, J.W., Hu, X.Z., Swain, M.V. and Bush, M.B.An ultra-micro indentation investigation of aspects of the fracture process in particulate reinforced metal matrix composites. Scr Metall Mater. 31, 577 (1994).CrossRefGoogle Scholar
5.Durst, K., Goken, M. and Vehoff, H.Finite element study for nanoindentation measurements on two-phase materials. J. Mater. Res. 19, 85 (2004).CrossRefGoogle Scholar
6.Schwaiger, R. and Kraft, O.Analyzing the mechanical behavior of thin films using nanoindentation, cantilever microbeam deflection, and finite element modeling. J. Mater. Res. 19, 315 (2004).CrossRefGoogle Scholar
7.Tsui, T.Y., Vlassak, J. and Nix, W.D.Indentation plastic displacement field: Part II. The case of hard films on soft substrates. J. Mater. Res. 14, 2204 (1999).CrossRefGoogle Scholar
8.Weppelmann, E.R. Observations and analysis of the deformation and fracture behaviour of TiN films on silicon and tool steel using ultra-micro indentation with spherical indenters. Thesis, University of Karlsruhe (1992)Google Scholar
9.Weppelmann, E.R., Hu, X.Z. and Swain, M.V.Observations and simple fracture mechanics analysis of indentation fracture delamination of TiN films on silicon. J. Adhes. Sci. Technol. 8, 611 (1994).CrossRefGoogle Scholar
10.Chudoba, T., Griepentrog, M., Duck, A., Schneider, D. and Richter, F.Young’s modulus measurements on ultra-thin coatings. J. Mater. Res. 19, 301 (2004).CrossRefGoogle Scholar
11.Schwarzer, N., Richter, F. and Hecht, G.: Determination of elastic properties of thin films by indentation measurements with a spherical indenter. Surf. Coat. Technol. 127, 9 (1999).Google Scholar
12.Schwarzer, N.Arbitrary load distribution on a layered half space. J. Tribol. 122, 672 (2000).CrossRefGoogle Scholar
13.Leggoe, J.W., Mammoli, A.A., Bush, M.B. and Hu, X.Z.Finite element modelling of deformation in particulate reinforced metal matrix composites with random local microstructure variation. Acta Mater. 46, 6075 (1998).CrossRefGoogle Scholar
14.Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A. and Suresh, S.Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).CrossRefGoogle Scholar
15.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).CrossRefGoogle Scholar
16.Kim, H.S., Bush, M.B. and Estrin, Y.A phase mixture model of a particle reinforced composite with fine microstructure. Mater. Sci. Eng. A 276, 175 (2000).CrossRefGoogle Scholar
17.Kozola, B.D. and Shen, Y-L.A mechanistic analysis of the correlation between overall strength and indentation hardness in discontinuously reinforced aluminum. J. Mater. Sci. 38, 901 (2003).CrossRefGoogle Scholar
18.Ownby, P.D. Engineering properties of diamond and graphite, in ASM Engineered Materials Handbook: Volume 4 - Ceramics and Glasses. ASM International 821 (1991)Google Scholar
19.Puttock, M.J. and Thwaite, E.G. Elastic compression of spheres and cylinders at point and line contact, National Standards Laboratory Technical Paper No. 25, CSIRO, Australia (1969)Google Scholar
20.Sneddon, I.N.The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
21.Field, J.S. and Swain, M.V.A simple predictive model for spherical indentation. J. Mater. Res. 8, 1 (1993).CrossRefGoogle Scholar
22.Couper, M.J. and Xia, K.: Development of microsphere reinforced metal matrix composites, Proc. 12th Risø International Symposium on Materials Science, Metal Matrix Composites - Processing, Microstructures & Properties,Risø National Laboratory,Roskilde, Denmark,291 (1991).Google Scholar
23.Bray, J.W. Aluminum mill and engineered wrought alloys, in Metals handbook: Volume 2 - Properties and selection of nonferrous alloys and special purpose materials. 10th edition, ASM International, 29 (1990)CrossRefGoogle Scholar
24.Leggoe, J.W. Investigation and modelling of the fracture of particulate reinforced metal matrix composites. PhD Thesis, University of Western Australia (1997)Google Scholar
25.Shaffer, P.T.B. Engineering properties of carbides, in ASM Engineered Materials Handbook: Volume 4 - Ceramics and Glasses. ASM International, 804 (1991)Google Scholar
26.Miyama, M., Koumoto, K. and Yamagida, H. Engineering properties of single oxides, in ASM Engineered Materials Handbook: Volume 4 - Ceramics and Glasses. ASM International, 748 (1991)Google Scholar
27.Kingon, A.I., Davis, R.F. and Thackeray, M.M. Engineering properties of multicomponent and multiphase oxides, in ASM Engineered Materials Handbook: Volume 4 - Ceramics and Glasses. ASM International, 758 (1991)Google Scholar
28.Min, L., Wei-min, C., Nai-gang, L. and Ling-Dong, W.A numerical study of indentation using indenters of different geometry. J. Mater. Res. 19, 73 (2004).CrossRefGoogle Scholar
29.Park, B.G., Crosky, A.G. and Hellier, A.K.Material characterisation and mechanical properties of Al2O3-Al metal matrix composites. J. Mater. Sci. 36, 2417 (2001).CrossRefGoogle Scholar
30.Doerner, M.F. and Nix, W.D.A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar