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Measuring residual stress in glasses and ceramics using instrumented indentation

Published online by Cambridge University Press:  31 January 2011

T.E. Buchheit  and
R. Tandon
T.E. Buchheit*
Affiliation:
Sandia National Laboratories, Materials and Process Sciences Center, Albuquerque, New Mexico 87185
R. Tandon
Affiliation:
Sandia National Laboratories, Materials and Process Sciences Center, Albuquerque, New Mexico 87185
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

Instrumented indentation has yielded mixed results when used to measure surface residual stresses in metal films. Relative to metals, many glasses and ceramics have a low modulus-to-yield strength (E/σy) ratio. The advantage of this characteristic for measuring residual stress using instrumented indentation is demonstrated by a series of comparative spherical and conical tip finite element simulations. Two cases are considered: (i) a material with E/σy = 24—similar to glass and (ii) a material with E/σy = 120—similar to metal films. In both cases, compressive residual stress shifts the simulated load–displacement response toward increasing hardness, irrespective of tip geometry. This shift is shown to be entirely due to pile up for the “metal” case, but primarily due to the direct influence of the residual stress for the “glass” case. Hardness changes and load–displacement curve shifts are explained by using the spherical cavity model. Supporting experimental results on stressed glasses are provided.

Keywords

HardnessSimulationIon-exchange material
Type
Articles
Information
Journal of Materials Research , Volume 22 , Issue 10 , October 2007 , pp. 2875 - 2887
Copyright
Copyright © Materials Research Society 2007

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References

REFERENCES

1Custer, J.S.: Ceramic packaging for MEMS-based microsystems. Proc. Soc. Photo-opt. Instrum. Eng. (SPIE) 5231, 229 2003Google Scholar
2Swadener, J.G., Taljat, B.Pharr, G.M.: Measurement of residual stress by load and depth sensing indentation with spherical indenters. J. Mater. Res. 16(7), 2091 2001CrossRefGoogle Scholar
3Tsui, T.Y., Oliver, W.C.Pharr, G.M.: Influences of stress on the measurement of mechanical properties nanoindentation: Part I. Experimental studies in an aluminum alloy. J. Mater. Res. 11(3), 752 1996CrossRefGoogle Scholar
4Xu, Z.H.Li, X.: Influence of equi-biaxial residual stress on unloading behavior on nanoindentation. Acta Mater. 53, 1913 2005CrossRefGoogle Scholar
5Giannakopoulos, A.E.: The influence of initial elastic surfaces stresses on instrumented sharp indentation. J. Appl. Mech., Trans. ASME 70(5), 638 2003CrossRefGoogle Scholar
6Bolshakov, A., Oliver, W.C.Pharr, G.M.: Influences of stress on the measurement of mechanical properties using nanoindentation: Part II. Finite element simulations. J. Mater. Res. 11(3), 760 1996CrossRefGoogle Scholar
7Suresh, S.Giannakopoulos, A.E.: A new method for estimating residual stress by instrumented sharp indentation. Acta Mater. 46(16), 5755 1998CrossRefGoogle Scholar
8Carlsson, S.Larsson, P.L.: On the determination of residual stress and strain fields by sharp indentation testing. Part I: Theoretical and numerical analysis. Acta Mater. 49, 2179 2001CrossRefGoogle Scholar
9Carlsson, S.Larsson, P.L.: On the determination of residual stress and strain fields by sharp indentation testing. Part II: Experimental investigation. Acta Mater. 49, 2193 2001CrossRefGoogle Scholar
10Lepienski, C.M., Pharr, G.M., Park, Y.J., Watkins, T.R., Misra, A.Zhang, X.: Factors limiting the measurement of residual stresses in thin films by nanoindentation. Thin Solid Films 447–448, 251 2004CrossRefGoogle Scholar
11Bolshakov, A.Pharr, G.M.: Influences of pileup on the measurement of mechanical properties by load and depth sensing indentation techniques. J. Mater. Res. 13(4), 1049 1998CrossRefGoogle Scholar
12Taljat, B.Pharr, G.M.: Measurement of residual stresses by load and depth sensing spherical indentation in Thin Films—Stresses and Mechanical Properties VIII edited by R. Vinci, O. Kraft, N. Moody, P. Besser, and E. Shaffer III Mater. Res. Soc. Symp. Proc. 594, Warrendale, PA 2000 519Google Scholar
13Chen, X., Yan, J.Karlsson, A.M.: On the determination of residual stress and mechanical properties by indentation. Mater. Sci. Eng., A 416, 139 2006CrossRefGoogle Scholar
14Lee, H., Lee, J.H.Pharr, G.M.: A numerical approach to spherical indentation techniques for material property evaluation. J. Mech. Phys. Solids 53, 2037 2005CrossRefGoogle Scholar
15Xu, Z.H.Li, X.: Estimation of residual stresses from elastic recovery of nanoindentation. Philos. Mag. 86(19), 2835 2006CrossRefGoogle Scholar
16Marsh, D.M.Plastic flow in glass. Proc. R. Soc. London Ser. A, 279, 420 (1964)Google Scholar
17Johnson, K.L.: Contact Mechanics, 4th ed., (Cambridge University Press, Cambridge, UK) 1985 Chap. 6Google Scholar
18Hill, R., Storakers, B.Zdunek, A.B.: A theoretical study of the Brinell hardness test. Proc. R. Soc. London Ser. A 436, 301 1989Google Scholar
19Mesarovic, S.D.Fleck, N.A.: Spherical indentation of elastic– plastic solids. Proc. R. Soc. London Ser. A 455, 2070 1999CrossRefGoogle Scholar
20Fischer-Cripps, A.C.: Nanoindentation Springer—Mechanical Engineering Series 2002 Chap. 1CrossRefGoogle Scholar
21Lawn, B.R., Evans, A.G.Marshall, D.B.: Elastic/plastic indentation damage in ceramics: The median/radial crack system. J. Amer. Ceram. Soc. 63, 574 1980CrossRefGoogle Scholar
22Tandon, R.Glass, S.J.: Controlling the fragmentation behavior of stressed glass in Fracture Mechanics of Ceramics, Active Materials, Nanoscale Materials, Composites, Glass, and Fundamentals, Eighth International Symposium on Fracture Mechanics of Ceramics, Vol. 14, Houston, TX, (Feb. 2003), edited by R.C. Bradt, D. Munz, M. Sakai, and K.W. White (Springer) 2005 77–91CrossRefGoogle Scholar
23Tandon, R., and Buchheit T.E., : Use of cube-corner nano-indentation crack length measurements to estimate residual stresses over small spatial dimensions. J. Amer. Cer. Soc. 90(2), 502 2007CrossRefGoogle Scholar
24Oliver, W.C.Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation. J. Mater. Res. 19(1), 3 2004CrossRefGoogle Scholar
25King, R.B.: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Structures 23(12), 1657 1987CrossRefGoogle Scholar
26Hay, J.C., Bolshakov, A.Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14(6), 2296 1999CrossRefGoogle Scholar
27Troyon, M.Layfe, S.: About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation relationships. Philos. Mag. 86(33–35), 5299 2006CrossRefGoogle Scholar
28Cheng, Y.T.Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44, 91 2004CrossRefGoogle Scholar
29Hay, J.L.Wolff, P.J.: Small correction required when applying the Hertzian contact model to instrumented indentation data. J. Mater. Res. 16(5), 1280 2001CrossRefGoogle Scholar
30Durst, K., Goken, M.Pharr, G.M.: Finite element simulation of spherical indentation in the elastic–plastic transition. Z. Metallkd. 93, 857 2002CrossRefGoogle Scholar
31Tirupataiah, Y.Sundararajan, G.: On the constraint factor associated with the indentation of work-hardening materials with a spherical ball. Metall. Trans. A 22A, 2375 1991CrossRefGoogle Scholar