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Application of spherical nanoindentation to determine the pressure of cavitation impacts from pitting tests

Published online by Cambridge University Press:  13 September 2011

Davide Carnelli ,
Ayat Karimi  and
Jean-Pierre Franc
Davide Carnelli*
Affiliation:
Institute of Condensed Matter Physics, Swiss Federal Institute of Technology Lausanne, CH-1015 Lausanne, Switzerland
Ayat Karimi
Affiliation:
Institute of Condensed Matter Physics, Swiss Federal Institute of Technology Lausanne, CH-1015 Lausanne, Switzerland
Jean-Pierre Franc
Affiliation:
Laboratory of Geophysical and Industrial Flows (LEGI), Grenoble Institute of Technology, 38041 Grenoble Cedex 9, Grenoble, France
*
a)Address all correspondence to this author. e-mail: davide.carnelli@epfl.ch
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Abstract

This article focuses on the use of spherical nanoindentation measurements to estimate the pressure of cavitation impacts and its statistical distribution. Indeed, nanoindentation techniques are supposed to represent an effective tool in this field due to the similarities between substrate deformation under liquid impact and indentation testing. First, nanoindentation experiments were used to extract the mechanical parameters of a Nickel–Aluminum–Bronze alloy; second, pitting tests were performed at different operating pressures, and the geometrical characteristics of the pits were measured; and finally, the spectra of impact pressure and loads responsible for material erosion were obtained by coupling the findings of indentation tests with the analysis of pitting tests. Results assessed the capability of the proposed methodology to quantify the hydrodynamic aggressiveness of the cavitating flow. This procedure, which assumes the material itself as a sensor that is able to detect the impact loads, could represent an alternative solution to pressure transducers in estimating the cavitation intensity.

Keywords

NanoindentationNanostructureStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 1: Focus Issue: Instrumented Indentation , 14 January 2012 , pp. 91 - 99
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

1.Knapp, R.T., Daily, J.W., and Hammitt, F.G.: Cavitation (McGraw-Hill, New York, 1970).Google Scholar
2.Dear, J.P., Field, J.E., and Walton, A.J.: Gas compression and jet formation in cavities collapsed by a shock wave. Nature 332, 505 (1988).CrossRefGoogle Scholar
3.Brennen, C.E.: Cavitation and Bubble Dynamics (Oxford University Press, New York, 1995).CrossRefGoogle Scholar
4.Franc, J-P. and Michel, J-M.: Fundamentals of Cavitation (Springer-Verlag, Dordrecht, Netherlands, 2004).Google Scholar
5.Hammitt, F.G.: Cavitation erosion: The state of the art and predicting capability. Appl. Mech. Rev. 32, 665 (1979).Google Scholar
6.Karimi, A. and Martin, J.L.: Cavitation erosion of materials. Int. Mater. Rev. 31, 1 (1986).CrossRefGoogle Scholar
7.Franc, J-P. and Michel, J-M.: Cavitation erosion research in France: The state of the art. J. Mar. Sci. Technol. 2, 233 (1997).CrossRefGoogle Scholar
8.Soyama, H., Lichtarowicz, A., Momma, T., and Williams, E.J.: A new calibration method for dynamically loaded transducers and its application to cavitation impact measurement. J. Fluids Eng. 120, 712 (1998).CrossRefGoogle Scholar
9.Momma, T. and Lichtarowicz, A.: A study of pressures and erosion produced by collapsing cavitation. Wear 186–187, 425 (1995).CrossRefGoogle Scholar
10.Hattori, S., Takinami, M., and Tomoaki, O.: Comparison of cavitation erosion rate with liquid impingement erosion rate, in 7th International Symposium on Cavitation CAV2009 (Ann Arbor, MI, 2009).Google Scholar
11.Okada, T., Hattori, S., and Shimizu, M.: A fundamental study of cavitation erosion using a magnesium oxide single crystal (intensity and distribution of bubble collapse impact loads). Wear 186, 437 (1995).CrossRefGoogle Scholar
12.Belahadji, B., Franc, J-P., and Michel, J-M.: A statistical analysis of cavitation erosion pits. J. Fluids Eng. 113, 700 (1991).CrossRefGoogle Scholar
13.Fortes Patella, R., Reboud, J.L., and Archer, A.: Cavitation damage measurement by 3D laser profilometry. Wear 246, 59 (2000).CrossRefGoogle Scholar
14.Ahmed, S.M., Hokkirigawa, K., Ito, Y., and Oba, R.: Scanning electron microscopy observation on the incubation period of vibratory cavitation erosion. Wear 142, 303 (1991).CrossRefGoogle Scholar
15.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, 3 (2004).CrossRefGoogle Scholar
16.Fischer-Cripps, A.C.: Nanoindentation (Springer, New York, 2004).CrossRefGoogle Scholar
17.VanLandingham, M.R.: Review of instrumented indentation. J. Res. Nat. Inst. Stand. Technol. 108, 249 (2003).CrossRefGoogle ScholarPubMed
18.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, 1564 (1992).CrossRefGoogle Scholar
19.Field, J.S. and Swain, M.V.: A simple predictive model for spherical indentation. J. Mater. Res. 8, 297 (1993).CrossRefGoogle Scholar
20.Cheng, Y.T. and Cheng, C.M.: Can stress-strain relationships be obtained from indentation curves using conical and pyramidal indenters? J. Mater. Res. 14, 3493 (1999).CrossRefGoogle Scholar
21.Tabor, D.: The Hardness of Metals (Clarendon, Oxford, 1951).Google Scholar
22.Field, J.S. and Swain, M.V.: Determining the mechanical properties of small volumes of material from submicrometer spherical indentations. J. Mater. Res. 10, 101 (1995).CrossRefGoogle Scholar
23.Fischer-Cripps, A.C. and Lawn, B.R.: Indentation stress-strain curves for “quasi-ductile” ceramics. Acta Mater. 44, 519 (1996).CrossRefGoogle Scholar
24.Taljat, B., Zacharia, T., and Kosel, F.: New analytical procedure to determine stress-strain curve from spherical indentation data. Int. J. Solids Struct. 35, 4411 (1998).CrossRefGoogle Scholar
25.Iwashita, N., Swain, M.V., Field, J.S., Ohta, N., and Bitoh, S.: Elasto-plastic deformation of glass-like carbons heat-treated at different temperatures. Carbon 39, 1525 (2001).CrossRefGoogle Scholar
26.Herbert, E.G., Pharr, G.M., Oliver, W.C., Lucas, B.N., and Hay, J.L.: On the measurement of stress-strain curves by spherical indentation. Thin Solid Films 398, 331 (2001).CrossRefGoogle Scholar
27.Hochstetter, G., Jimenez, A., Cano, J.P., and Felder, E.: An attempt to determine the true stress-strain curves of amorphous polymers by nanoindentation. Tribol. Int. 36, 973 (2003).CrossRefGoogle Scholar
28.Ogasawara, N., Chiba, N., and Chen, X.: Representative strain of indentation analysis. J. Mater. Res. 20, 2225 (2005).CrossRefGoogle Scholar
29.Juliano, T.F., VanLandingham, M.R., Weerasooriya, T., and Moy, P.: Extracting Stress-Strain and Compressive Yield Stress Information From Spherical Indentation (Defense Technical Information Center, VA, 2007).Google Scholar
30.Franc, J-P.: Incubation time and cavitation erosion rate of work-hardening materials. J. Fluids Eng. 131, 021303 (2009).CrossRefGoogle Scholar
31.Franc, J-P., Riondet, M., Karimi, A., and Chahine, G.L.: Material and velocity effects on cavitation erosion pitting. Wear (submitted for publication).Google Scholar
32.Sneddon, I.N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
33.Francis, H.A.: Phenomenological analysis of plastic spherical indentation. J. Eng. Mater. Technol. 98, 272 (1976).CrossRefGoogle Scholar
34.Ramberg, W. and Osgood, W.R.: Description of Stress-Strain Curves by Three Parameters (National Advisory Committee for Aeronautics, Washington, DC, 1943).Google Scholar
35.Pidaparti, R.M., Aghazadeh, B.S., Whitfield, A., Rao, A.S., and Mercier, G.P.: Classification of corrosion defects in NiAl bronze through image analysis. Corros. Sci. 52, 3661 (2010).CrossRefGoogle Scholar
36.Oh-Ishi, K. and McNelley, T.R.: The influence of friction stir processing parameters on microstructure of as-cast NiAl bronze. Metall. Mater. Trans. A 36, 1575 (2005).CrossRefGoogle Scholar
37.Ni, D.R., Xue, P., Wang, D., Xiao, B.L., and Ma, Z.Y.: Inhomogeneous microstructure and mechanical properties of friction stir processed NiAl bronze. Mater. Sci. Eng., A 524, 119 (2009).CrossRefGoogle Scholar
38.Carnelli, D., Karimi, A., and Franc, J-P.: Evaluation of the pressure of cavitation impacts based on pitting test and depth sensing nanoindentation techniques. Wear (submitted for publication).Google Scholar
39.Twarog, D.L.: Copper Alloys, Cast Copper Alloys (Kirk-Othmer Encyclopedia of Chemical Technology, John Wiley & Sons, 2000).CrossRefGoogle Scholar
40.Yang, B. and Nieh, T.: Effect of the nanoindentation rate on the shear band formation in an Au-based bulk metallic glass. Acta Mater. 55, 295 (2007).CrossRefGoogle Scholar
41.Lu, L., Schwaiger, R., Shan, Z.W., Dao, M., Lu, K., and Suresh, S.: Nano-sized twins induce high rate sensitivity of flow stress in pure copper. Acta Mater. 53, 2169 (2005).CrossRefGoogle Scholar
42.Nieh, T.G., Schuh, C.A., Wadsworth, J., and Li, Y.: Strain rate-dependent deformation in bulk metallic glasses. Intermetallics 10, 1177 (2002).CrossRefGoogle Scholar