Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-26T05:33:13.079Z Has data issue: false hasContentIssue false

Influence of residual stress on elastic modulus and hardness of soda-lime glass measured by nanoindentation

Published online by Cambridge University Press:  01 October 2004

K.O. Kese*
Affiliation:
Department of Materials Science and Engineering, Royal Institute of Technology (KTH), 100 44 Stockholm, Sweden
Z.C. Li
Affiliation:
Department of Materials Science and Engineering, Royal Institute of Technology (KTH), 100 44 Stockholm, Sweden
B. Bergman
Affiliation:
Department of Materials Science and Engineering, Royal Institute of Technology (KTH), 100 44 Stockholm, Sweden
*
a) Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

The influence of stress on the elastic modulus E and hardness H in soda-lime glass was studied in the Vickers residual stress field by nanoindentation. The Oliver–Pharr method of analysis first gave higher values of E and H, but after correcting for the pileup contact areas around the nanoindents, results consistent with literature values were obtained at regions in the stress field where the stresses were either low or close to zero. Determination of the pileup contact areas was made possible by the use of the atomic force microscope, which has facility for generating cross-section images of the indents. The elastic modulus was found to decrease with stress, which is explained with reference to the influence of applied stresses on the Si–O–Si bond angle. The hardness on the other hand did not depend on the stresses except in the region very close to the edge of the Vickers indent where the stresses are high.

Type
Articles
Copyright
Copyright © Materials Research Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Pharr, G.M.: Measurement of mechanical properties by ultra-low load indentation. Mater. Sci Eng. A 253,151 (1998).CrossRefGoogle Scholar
2Tsui, T.Y., Oliver, W.C. and Pharr, G.M.: Influences of stress on the measurement of mechanical properties using nanoindentation: Part I. Experimental studies in an aluminium alloy. J. Mater. Res. 11, 752 (1996).CrossRefGoogle Scholar
3Ernsberger, F.M. In Glass Science and Technology, Vol 5: Elasticity and Strength in Glass, edited by Uhlmann, D.R. and Kreidl, N.J. (Academic Press, New York, 1980), pp. 911Google Scholar
4Mallinder, F.P. and Proctor, B.A.: Elastic constants of fused silica as a function of large tensile strain. Phys. Chem. Glasses 5, 91 (1964).Google Scholar
5Oliver, 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, 1564 (1992).CrossRefGoogle Scholar
6Bolshakov, A., Oliver, W.C. and Pharr, G.M.: Influences of stress on the measurement of properties using nanoindentation: Part II. Finite element simulations. J. Mater. Res. 11, 760 (1996).CrossRefGoogle Scholar
7Bolshakov, A. and Pharr, G.M.: Influences of pileup on the measurement of mechanical properties by load and depth-sensing indentation techniques. J. Mater. Res. 13, 1049 (1998).CrossRefGoogle Scholar
8Pharr, G.M. and Bolshakov, A.: Understanding nanoindnetation unloading curves. J. Mater. Res. 17, 2660 (2002).CrossRefGoogle Scholar
9Oliver, 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
10Zeng, K. and Chiu, C-H.: An analysis of load–penetration curves from instrumented indentation. Acta Mater . 49, 3539 (2001).CrossRefGoogle Scholar
11Martin, M. and Troyon, M.: Fundamental relations used in nanoindentation: Critical examination based on experimental measurements. J. Mater. Res. 17, 2227 (2002).CrossRefGoogle Scholar
12Chaudhri, M.M.: A note on a common mistake in the analysis of nanoindentation data. J. Mater. Res. 16, 336 (2001).CrossRefGoogle Scholar
13Thurn, J. and Cook, R.F.: Simplified area function for sharp indenter tips in depth-sensing indentation. J. Mater. Res. 17, 1143 (2002).CrossRefGoogle Scholar
14Cheng, Y-T. and Cheng, C-M.: Relationships between hardness, elastic modulus, and the work of indentation. J. Appl. Phys. Lett. 73, 614 (1998).CrossRefGoogle Scholar
15Yoffe, E.H.: Elastic, stress fields caused by indenting brittle materials. Philos. Mag. A 46, 617 (1982).CrossRefGoogle Scholar
16Chiang, 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, 298 (1982).CrossRefGoogle Scholar
17Zeng, K. and Rowcliffe, D.: Experimental measurement of residual stress field around a sharp indentation in glass. J. Am. Ceram. Soc. 77, 524 (1994).CrossRefGoogle Scholar
18Zeng, K. and Rowcliffe, D.J.: Vickers indentation in glass – I. Residual stress fields and iso-stress contour maps. Acta Metall. Mater . 43, 1935 (1995).CrossRefGoogle Scholar
19Pajares, A., Guibertau, F., Steinbrech, R.W. and Dominguez-Rodriguez, A.: Residual stress around Vickers indents. Acta Metall. Mater . 43, 3649 (1995).CrossRefGoogle Scholar
20Kese, K. and Rowcliffe, D.J.: Nanoindentation method for measuring residual stress in brittle materials. J. Am. Ceram. Soc . 86, 811 (2003).CrossRefGoogle Scholar
21Anstis, G.R., Chantikul, P., Lawn, B.R. and Marshall, D.B.: A critical evaluation of indentation techniques for measuring fracture toughness: I. Direct crack measurements. J. Am. Ceram. Soc. 64, 533 (1981).CrossRefGoogle Scholar
22Lawn, B.R. and Howes, V.R.: Elastic recovery at hardness indentations. J. Mater. Sci. 16, 2745 (1981).CrossRefGoogle Scholar
23Chaudhri, M.M. and Winter, M.: The load-bearing area of a hardness indentation. J. Phys. D: Appl. Phys. 21, 370 (1988).CrossRefGoogle Scholar
24Jarausch, K.F., Kiely, J.D., Houston, J.E., and Russell, P.E.: In Proceedings of the SEM Annual Conference on Theoretical, Experimental and Computational Mechanics (Society for Experimental Mechanics, Inc., 1999), p. 328.Google Scholar
25Simes, T.R., Mellor, S.G. and Hills, D.A.: A note on the influence of residual stress on measured hardness. J. Strain Analysis 19, 135 (1984).CrossRefGoogle Scholar
26Tabor, D.: The Hardness of Metals(Oxford University Press, London, U.K., 1951)Google Scholar
27Varshneya, A.K.: Fundamentals of Inorganic Glasses (Academic Press, San Diego, CA, 1994), pp. 171176Google Scholar
28Leko, V.K.: The structure of vitreous silica. Glass Phys. Chem. 19, 351 (1993).Google Scholar