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Nanoindentation near the edge

Published online by Cambridge University Press:  31 January 2011

J.E. Jakes
Affiliation:
Materials Science Program, University of Wisconsin—Madison, Madison, Wisconsin 53706; and United States Forest Service, Forest Products Laboratory, Madison, Wisconsin 53726
C.R. Frihart
Affiliation:
Materials Science Program, University of Wisconsin—Madison, Madison, Wisconsin 53706; and United States Forest Service, Forest Products Laboratory, Madison, Wisconsin 53726
J.F. Beecher
Affiliation:
Materials Science Program, University of Wisconsin—Madison, Madison, Wisconsin 53706; and United States Forest Service, Forest Products Laboratory, Madison, Wisconsin 53726
R.J. Moon
Affiliation:
United States Forest Service, Forest Products Laboratory, Madison, Wisconsin 53726
P.J. Resto
Affiliation:
Materials Science Program, University of Wisconsin—Madison, Madison, Wisconsin 53706; and United States Forest Service, Forest Products Laboratory, Madison, Wisconsin 53726
Z.H. Melgarejo
Affiliation:
Materials Science Program, University of Wisconsin—Madison, Madison, Wisconsin 53706
O.M. Suárez
Affiliation:
Engineering Science and Materials Department, University of Puerto Rico—Mayagüez, Mayagüez, Puerto Rico 00681-9044
H. Baumgart
Affiliation:
Applied Research Center, Jefferson National Accelerator Facility, Newport News, Virginia 23606; and Department of Electrical Engineering, Old Dominion University, Norfolk, Virginia 23529
A.A. Elmustafa
Affiliation:
Applied Research Center, Jefferson National Accelerator Facility, Newport News, Virginia 23606; and Department of Mechanical Engineering, Old Dominion University, Norfolk, Virginia 23529
D.S. Stone*
Affiliation:
Materials Science Program, University of Wisconsin—Madison, Madison, Wisconsin 53706; and Department of Materials Science and Engineering, University of Wisconsin—Madison, Madison, Wisconsin 53706
*
a) Address all correspondence to this author. e-mail: dsstone@wisc.edu
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Abstract

Whenever a nanoindent is placed near an edge, such as the free edge of the specimen or heterophase interface intersecting the surface, the elastic discontinuity associated with the edge produces artifacts in the load–depth data. Unless properly handled in the data analysis, the artifacts can produce spurious results that obscure any real trends in properties as functions of position. Previously, we showed that the artifacts can be understood in terms of a structural compliance, Cs, which is independent of the size of the indent. In the present work, the utility of the SYS (Stone, Yoder, Sproul) correlation is demonstrated in its ability to remove the artifacts caused by Cs. We investigate properties: (i) near the surface of an extruded polymethyl methacrylate rod tested in cross section, (ii) of compound corner middle lamellae of loblolly pine (Pinus taeda) surrounded by relatively stiff wood cell walls, (iii) of wood cell walls embedded in a polypropylene matrix with some poorly bonded wood–matrix interfaces, (iv) of AlB2 particles embedded in an aluminum matrix, and (v) of silicon-on-insulator thin film on substrate near the free edge of the specimen.

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Articles
Copyright
Copyright © Materials Research Society 2009

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References

1.Oliver, W.C. and Pharr, G.M.: Improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7(6), 1564 (1992).CrossRefGoogle Scholar
2.Sneddon, I.N.: Relation between load and penetration in axisym-metric Boussinesq problem for punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
3.Bolshakov, A. and Pharr, G.M.: Inaccuracies in Sneddon's solution for elastic indentation by a rigid cone and their implications for nanoindentation data analysis, in Thin Films: Stresses and Mechanical Properties VI, edited by Gerberich, W.W., Gao, H., Sundgren, J.E., and Baker, S.P. (Mater. Res. Soc. Symp. Proc. 436, Pittsburgh, PA, 1997), p. 189.Google Scholar
4.Troyon, M. and Lafaye, S.: About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements. Philos. Mag. 86(33–35), 5299 (2006).CrossRefGoogle Scholar
5.Jakes, J.E., Frihart, C.R., Beecher, J.F., Moon, R.J., and Stone, D.S.: Experimental method to account for structural compliance in nanoindentation measurements. J. Mater. Res. 23(4), 1113 (2008).CrossRefGoogle Scholar
6.King, R.B.: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Struct. 23(12), 1657 (1987).CrossRefGoogle Scholar
7.Doerner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1(4), 601 (1986).CrossRefGoogle Scholar
8.Stone, D.S.: Elastic rebound between an indenter and a layered specimen. I. Model. J. Mater. Res. 13(11), 3207 (1998).CrossRefGoogle Scholar
9.Yoder, K.B., Stone, D.S., Hoffman, R.A., and Lin, J.C.: Elastic rebound between an indenter and a layered specimen. II. Using contact stiffness to help ensure reliability of nanoindentation measurements. J. Mater. Res. 13(11), 3214 (1998).CrossRefGoogle Scholar
10.Fischer-Cripps, A.C.: Critical review of analysis and interpretation of nanoindentation test data. Surf. Coat. Technol. 200(14–15), 4153 (2006).CrossRefGoogle Scholar
11.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(1), 3 (2004).CrossRefGoogle Scholar
12.Cheng, Y-T. and Cheng, C-M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44(4–5), 91 (2004).CrossRefGoogle Scholar
13.Elmustafa, A.A., Kose, S., and Stone, D.S.: The strain-rate sensitivity of the hardness in indentation creep. J. Mater. Res. 22(4), 926 (2007).CrossRefGoogle Scholar
14.Stone, D.S., Yoder, K.B., and Sproul, W.D.: Hardness and elastic modulus of TiN based on continuous indentation technique and new correlation. J. Vac. Sci. Technol. A 9(4), 2543 (1991).CrossRefGoogle Scholar
15.Joslin, D.L. and Oliver, W.C.: New method for analyzing data from continuous depth-sensing microindentation tests. J. Mater. Res. 5(1), 123 (1990).CrossRefGoogle Scholar
16.Sakai, M. and Nakano, Y.: Elastoplastic load-depth hysteresis in pyramidal indentation. J. Mater. Res. 17(8), 2161 (2002).CrossRefGoogle Scholar
17.Stilwell, N.A. and Tabor, D.: Elastic recovery of conical indentations. Proc. Phys. Soc. 78, 169 (1961).CrossRefGoogle Scholar
18.Duque, N.B., Melgarejo, Z.H., and Suarez, O.M.: Functionally graded aluminum matrix composites produced by centrifugal casting. Mater. Charact. 55(2), 167 (2005).CrossRefGoogle Scholar
19.Melgarejo, Z.H., Suarez, O.M., and Sridharan, K.: Wear resistance of a functionally-graded aluminum matrix composite. Scr. Mater., 55(1 Spec), 95 (2006).CrossRefGoogle Scholar
20.Melgarejo, Z.H., Suarez, O.M., and Sridharan, K.: Microstructure and properties of functionally graded Al–Mg–B composites fabricated by centrifugal casting. Compos. Part A: Appl. Sci. Manuf. 39(7), 1150 (2008).CrossRefGoogle Scholar
21.Miller, N., Tapily, K., Baumgart, H., Cellar, G.K., Brunier, F., and Elmustafa, A.A.: Nanomechanical properties of strained silicon-on-insulator (SOI) films epitaxially grown on Si1–xGex and layer transferred wafer bonding, in Surface and Interfacial Nano-mechanics, edited by Cook, R.F., Ducker, W., Szlufarska, I., and Antrim, R.F. (Mater. Res. Soc. Symp. Proc. 1021E, Warrendale, PA, 2007), 1021–HH05.Google Scholar
22.Wimmer, R., Lucas, B.N., Tsui, T.Y., and Oliver, W.C.: Longitudinal hardness and Young's modulus of spruce tracheid secondary walls using nanoindentation technique. Wood Sci. Technol. 31(2), 131 (1997).CrossRefGoogle Scholar
23. CGerber, E.: Contact Problems for the Elastic Quarter-Plane and for the Quarter Space (Stanford University, Palo Alto, CA, 1968), p. 100.Google Scholar
24.Chiang, S.S., Marshall, D.B., and Evans, A.G.: The response of solids to elastic/plastic indentation. I. Stresses and residual stresses. J. Appl. Phys. 53(1), 298 (1982).CrossRefGoogle Scholar
25.Johnson, K.L.: Contact Mechanics (Cambridge University Press, Cambridge, UK, 1985), p. 452.CrossRefGoogle Scholar
26.Deppisch, C., Liu, G., Shang, J.K., and Economy, J.: Processing and mechanical properties of AlB2 flake reinforced Al-alloy composites. Mater. Sci. Eng., A A225(1–2), 153 (1997).CrossRefGoogle Scholar
27.Liu, K., Zhou, X.L., Chen, X-R., and Zhu, W-J.: Structural and elastic properties of AlB2 compound via first-principles calculations. Physica B (Amsterdam) 388(1–2), 213 (2007).CrossRefGoogle Scholar
28.Vlassak, J.J. and Nix, W.D.: Measuring the elastic properties of anisotropic materials by means of indentation experiments. J. Mech. Phys. Solids 42(8), 1223 (1994).CrossRefGoogle Scholar
29.Hetenyi, M.: Method of solution for elastic quarter-plane. ASME Trans. J. Appl. Mech. Ser. E, J. Appl. Mech. 27(2), 289 (1960).CrossRefGoogle Scholar
30.Hetenyi, M.: A general solution for the elastic quarter space. Trans. ASME Ser. E., J. Appl. Mech. 37(1), 70 (1970).Google Scholar
31.Keer, L.M., Lee, J.C., and Mura, T.: Hetenyi's elastic quarter space problem revisited. Int. J. Solids Struct. 19(6), 497 (1983).CrossRefGoogle Scholar
32.Keer, L.M., Lee, J.C., and Mura, T.: A contact problem for the elastic quarter space. Int. J. Solids Struct. 20(5), 513 (1984).CrossRefGoogle Scholar
33.Popov, G.Y.: An exact solution of the mixed elasticity problem in a quarter-space. Mech. Solids 38(6), 23 (2003).Google Scholar
34.Schwarzer, N., Hermann, I., Chudoba, T., and Richter, F.: Contact modelling in the vicinity of an edge. Surf. Coat. Techol. 146–147, 371 (2001).CrossRefGoogle Scholar

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