Abstract
In conventional indentation tests, the area of contact between the indenter and the specimen at maximum load is usually calculated from the diameter or size of the residual impression after the load has been removed. The size of the residual impression is usually considered to be identical to the contact area at full load, although the depth of penetration may of course be significantly reduced by elastic recovery. Direct imaging of residual impressions made in the submicron regime are usually only possible using inconvenient means and, for this reason, it is usual to measure the load and depth of penetration directly during loading and unloading of the indenter. These measurements are then used to determine the projected area of contact for the purpose of calculating hardness and elastic modulus. In practice, various errors are associated with this procedure. The most serious of these errors manifests themselves as offsets to the depth measurements. Others arise from environmental changes during the test and the non-ideal shape of the indenter. In addition to the above, there are a number of materials related issues that also affect the validity of the results. The most serious of these are an indentation size effect and the phenomenon of piling-up and sinking-in. The sensitivity of nanoindentation tests to these phenomena and others is a subject of continuing research.1 In this chapter, some of the most commonly encountered sources of error and methods of accounting for them are reviewed.
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References
N.M. Jennett and J. Meneve, “Depth sensing indentation of thin hard films: a study of modulus measurement sensitivity to indentation parameters,” Mat. Res. Soc. Symp. Proc. 522, 1998, pp. 239–244.
G. Feng and A.H.W. Ngan, “Effects of creep and thermal drift on modulus measurement using depth-sensing indentation,” J. Mater. Res. 17 3, 2002, pp. 660–668.
A.C. Fischer-Cripps, unpublished work, 2003.
B.R. Lawn, B.J. Hockey and S.M. Weiderhorn, “Thermal effects in sharp-particle impact,” J. Amer. Ceram. Soc. 63 5–6, 1980, pp. 356–358.
K. Herrmann K, N.M. Jennett, W. Wegener, J. Meneve, K. Hasche, and R. Seemann, “Progress in determination of the area function of indenters used for nanoindentation,” Thin Solid Films, 377, 2000, pp. 394–400.
S. Enders, P. Grau, and H.M. Hawthorne, “Determination of the real indenter shape for nanoindentation/nanotribology tests by surface metrological and analytical investigations,” Mat. Res. Soc. Symp. Proc. 649, 2001, pp. Q3.6.1–Q3. 6. 6.
R.N. Bolster, unpublished work, 2001.
A. Bolshakov and G.M. Pharr, “Influences of pileup on the measurement of mechanical properties by load and depth sensing indentation techniques,” J. Mater. Res. 13 4, 1998, pp. 1049–1058.
J.L. Hay, W.C. Oliver, A. Bolshakov, and G.M. Pharr “Using the ratio of loading slope and elastic stiffness to predict pile-up and constraint factor during indentation,” Mat. Res. Proc. Symp. 522, 1998, pp. 101–106.
N. X. Randall and C. Julia-Schmutz, “Evolution of contact area and pile-up during the nanoindentation of soft coatings on hard substrates.” Mat. Res. Soc. Symp. Proc. 522, 1998, pp. 21–26.
K.W. McElhaney, J.J. Vlassak, and W.D. Nix, “Determination of indenter tip geometry and indentation contact area for depth-sensing indentation experiments,” J. Mater. Res. 13 5, 1998, pp. 1300–1306.
H. Li, A. Ghosh, Y.H. Yan, and R.C. Bradt, “The frictional component of the indentation size effect in low load microhardness testing,” J. Mater. Res. 8 5, 1993, pp. 1028–1032.
N. Gane, “The direct measurement of the strength of metals on a sub-micrometre scale,” Proc. Roy. Soc. A317, 1970, pp. 367–391.
S.J. Bull, T.F. Page, and E.H. Yoffe, “An explanation of the indentation size effects in ceramics,” Phil. Mag. Lett. 59 6, 1989, pp. 281–288.
W.D. Nix and H. Gao, “Indentation size effects in crystalline materials: a law for strain gradient plasticity,” J. Mech. Phys. Solids, 46 3, 1998, pp. 411–425.
J. Lou, P. Shrotriya, T. Buchheit, D. Yang and W.O. Sobojeyo, “Nanoindentation study of plasticity length scale effects in LIGA Ni microelectromechanical systems structures,” J. Mater. Res. 18 3, 2003, pp. 719–728.
E.T. Lilleodden, J.A. Zimmerman, S.M. Foiles, and W.D. Nix, “Atomistic simulations of elastic deformation and dislocation nucleation during nanoindentation,” J. Mech. Phys. Solids, 51, 2003, pp. 201–920.
N.I. Tymiak, D.E. Kramer, D.F. Bahr, T.J. Wyrobek and W.W. Gerberich, “Plastic strain and strain gradients at very small indentation depths,” Acta Mater. 49, 2001, pp. 1021–1034.
T.-Y. Zhang and W.-H. Zu, “Surface effects on nanoindentation,” J. Mater. Res. 17 7, 2002, pp. 1715–1720.
J.F. Archard, “Elastic deformations and the law of friction,” Proc. Roy. Soc. A243, 1957, pp. 190–205.
J.A. Greenwood and J.B.P. Williamson, “Contact of nominally flat surfaces,” Proc. Roy. Soc. A295, 1966, pp. 300–319.
J.A. Greenwood and J.H. Tripp, “The contact of two nominally rough surfaces,” Proc. Inst. Mech. Eng. 185, 1971, pp. 625–633.
K.L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, 1985.
D.L. Joslin and W.C. Oliver, “A new method for analyzing data from continuous depth-sensing microindentation tests,” J. Mater. Res. 5 1, 1990, pp. 123–126.
J.S. Field, “Understanding the penetration resistance of modified surface layers,” Surf. Coat. Tech. 36, 1988, pp. 817–827.
J.H. Underwood, “Residual stress measurement using surface displacements around an indentation,” Experimental Mechanics, 30, 1973, pp. 373–380.
S.G. Roberts, C.W. Lawrence, Y. Bisrat, and P.D. Warren, “Determination of surface residual stresses in brittle materials by Hertzian indentation: Theory and experiment,” J. Am. Ceram. Soc. 82 7, 1999, pp. 1809–1816.
M.M. Chaudhri and M.A. Phillips, “Quasi-static cracking of thermally tempered soda-lime glass with spherical and Vickers indenters,” Phil. Mag. A 62 1, 1990, pp. 1–27.
S. Chandrasekar and M.M. Chaudhri, “Indentation cracking in soda-lime glass and Ni-Zn ferrite under Knoop and conical indenters and residual stress measurements,” Phil. Mag. A 67 6, 1993, pp. 1187–1218.
T.Y. Tsui, W.C. Oliver, and G.M. Pharr, “Influences of stress on the measurement of mechanical properties using nanoindentation. 1. Experimental studies in an aluminium alloy,” J. Mater. Res. 11 3, 1996, pp. 752–759.
A. Bolshakov, W.C. Oliver, and G.M. Pharr, “Influences of stress on the measurement of mechanical properties using nanoindentation. 2. Finite element simulations,” J. Mater. Res. 11 3, 1996, pp. 760–768.
Y.-H. Lee and D. Kwong, “Residual stresses in DLC/Si and Au/Si systems: Application of a stress-relaxation model to nanoindentation technique,” J. Mater. Res. 17 4, 2002, pp. 901–906.
A. Taljat and G.M. Pharr, “Measurement of residual stresses by load and depth sensing spherical indentation,” Mat. Res. Soc. Symp. Proc. 594, 2000, pp. 519–524.
J.G. Swadener, B. Taljat, and G.M. Pharr, “Measurement of residual stress by load and depth sensing indentation with spherical indenters,” J. Mater. Res. 16 7, 2001, pp. 2091–2102.
F.B. Langitan and B.R. Lawn, “Hertzian fracture experiments on abraded glass surfaces as definitive evidence for an energy balance explanation of Auerbach’s law,” J. App. Phys. 40 10, 1969, pp. 4009–4017.
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Fischer-Cripps, A.C. (2004). Factors Affecting Nanoindentation Test Data. In: Nanoindentation. Mechanical Engineering Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5943-3_4
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DOI: https://doi.org/10.1007/978-1-4757-5943-3_4
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