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Effect of the spherical indenter tip assumption on nanoindentation

Published online by Cambridge University Press:  31 January 2011

L. Ma*
Affiliation:
Materials Science & Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8553; and Department of Chemical Physics, Kent State University, Kent, Ohio 44242
L.E. Levine
Affiliation:
Materials Science & Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8553
*
a)Address all correspondence to this author. e-mail: li.ma@nist.gov
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Abstract

One of the interests and challenges of nanoindentation is determining the shear stress at the onset of plastic yielding, which corresponds to dislocation nucleation. To extract this stress information from experimental load-displacement data, a spherical tip shape is usually assumed. However, it is well known that indenter tips have irregular shapes, especially at the small-length scales that are important for small loads. This will significantly affect the stress distribution under the indentation surfaces. In this work, an indenter tip shape is measured by atomic force microscopy. The measured indenter shape is input into a finite element analysis model for indentation simulations on 〈111〉-oriented single-crystal Al samples in the elastic regime. The resulting stresses, indentation force, and contact area are analyzed and compared to results from a fitted spherical indenter. The deviation of the assumed spherical indenter tip from the real measured indenter tip is studied.

Type
Articles
Copyright
Copyright © Materials Research Society2007

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References

REFERENCES

1Doerner, M.F.Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1(4), 601 1986CrossRefGoogle Scholar
2Oliver, W.C.Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7(6), 1564 1992CrossRefGoogle Scholar
3Fisher-Cripps, A.C.: Nanoindentation Springer-Verlag New York 2002CrossRefGoogle Scholar
4Page, T.F., Oliver, W.C.McHargue, C.J.: The deformation behavior of ceramic crystals subjected to very low load (nano)indentation. J. Mater. Res. 7(2), 450 1992CrossRefGoogle Scholar
5Wang, W., Jiang, C.B.Lu, K.: Deformation behavior of Ni3Al single crystals during nanoindentation. Acta Mater. 51, 6169 2003CrossRefGoogle Scholar
6Gerberich, W.W., Nelson, J.C., Lilleodden, E.T., Anderson, P.Wyrobek, J.T.: Indentation induced dislocation nucleation: The initial yield point. Acta Mater. 44, 3585 1996CrossRefGoogle Scholar
7Corcoran, S.G., Colton, R.J., Lilleodden, E.T.Gerberich, W.W.: Anomalous plastic deformation at surfaces: Nanoindentation of gold single crystals. Phys. Rev. B: Condens. Matter. 55, 16057 1997CrossRefGoogle Scholar
8Michalske, T.A.Houston, J.E.: Dislocation nucleation at nano-scale mechanical contacts. Acta Mater. 46, 391 1998CrossRefGoogle Scholar
9Chiu, Y.L.Ngan, A.H.W.: Time-dependent characteristics of incipient plasticity in nanoindentation of a Ni3Al single crystal. Acta Mater. 50, 1599 2002CrossRefGoogle Scholar
10Li, J., Van Krystyn, J. Vliet, Zhu, T., Yip, S.Suresh, S.: Atomistic mechanisms governing elastic limit and incipient plasticity in crystals. Nature 418, 307 2002CrossRefGoogle ScholarPubMed
11Gouldstone, A., Koh, H-J., Zeng, K-Y., Giannakopoulos, A.F.Suresh, S.: Discrete and continuous deformation during nanoindentation of thin films. Acta Mater. 48, 2277 2000CrossRefGoogle Scholar
12Johnson, K.L.: Contact Mechanics,4th ed. (Cambridge University Press, Cambridge, 1985), 90106Google Scholar
13Durst, K., Backer, B., Franke, O.Goker, M.: Indentation size effect in metallic materials: Modeling strength from pop-in to macroscopic hardness using geometrically necessary dislocations. Acta Mater. 54, 2547 2006Google Scholar
14Bei, H., Lu, Z.P.George, E.P.: Theoretical strength and the onset of plasticity in bulk metallic glasses investigated by nanoindentation with a spherical indenter. Phys. Rev. Lett. 93(12), 125504 2004CrossRefGoogle ScholarPubMed
15Bei, H., George, E.P., Hay, J.L.Pharr, G.M.: Influence of indenter tip geometry on elastic deformation during nanoindentation. Phys. Rev. Lett. 95(4), 045501 2005CrossRefGoogle ScholarPubMed
16Abaqus/Standard: Theory and User’s Manual, version 6.6 ABAQUS Inc., Providence, RI 2006Google Scholar
17Lide, D.R., Baysinger, G., Berger, L.I., Goldberg, R.N., Kchiaian, H.V., Kuchitsu, K., Roscnblatt, G., Roth, D.L.Zwillinger, D.: Handbook of Chemistry and Physics, 87th ed. (CRC Press, LLC, Boca Raton, FL, 2006–2007), 1235Google Scholar
18Wagner, R., Ma, L.Levine, L.E.: Private communication, National Institute of Standards and Technology and Kent State University, 2006Google Scholar