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A dual triangular pyramidal indentation technique for material property evaluation

Published online by Cambridge University Press:  30 March 2015

Minsoo Kim
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 121-742, Republic of Korea
Jin Haeng Lee
Affiliation:
Research Reactor Mechanical Structure Design Division, Korea Atomic Energy Research Institute, Daejeon 305-353, Republic of Korea
Felix Rickhey
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 121-742, Republic of Korea
Hyungyil Lee*
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 121-742, Republic of Korea
*
a)Address all correspondence to this author. e-mail: hylee@sogang.ac.kr
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Abstract

In this study, a method using dual triangular pyramidal indenters is suggested for material property evaluation. First, we demonstrate that the load–depth curves and the projected contact areas from conical and triangular pyramidal indentations are generally different. Nonequal projected contact areas of two indenters and nonplanar contact line of Berkovich indenter are the main sources of different indentation characteristics of two indenters. For this reason, an independent approach to the triangular pyramidal indentation is needed. With finite element (FE) indentation analyses for various materials, we investigate the relationships between material properties, indentation parameters, and load–depth curves. Based on the FE solutions, we suggest mapping functions for evaluating material properties from indentations by two triangular pyramidal WC indenters, which differ in their centerline-to-face angles. Elastic modulus, yield strength, and strain hardening exponent are obtained with an average error of <3%.

Type
Articles
Copyright
Copyright © Materials Research Society 2015 

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References

REFERENCES

Chen, X., Yan, J., and Karlsson, A.M.: On the determination of residual stress and mechanical properties by indentation. Mater. Sci. Eng., A 416, 139149 (2006).Google Scholar
Larsson, P.L. and Blanchard, P.: On the correlation between residual stresses and global indentation quantities: Numerical results for general biaxial stress fields. Mater. Des. 37, 435442 (2012).Google Scholar
Lee, J.H., Lim, D., Hyun, H.C., and Lee, H.: A numerical approach to indentation technique to evaluate material properties of film-on-substrate systems. Int. J. Solids Struct. 49, 10331043 (2012).CrossRefGoogle Scholar
Kick, F.: Das Gesetz der proportionalen Widerstände und seine Anwendungen (in German) (Felix–Verlag, Leipzig, 1885).Google Scholar
Chen, X., Ogasawara, N., Zhao, M., and Chiba, N.: On the uniqueness of measuring elastoplastic properties from indentation: The indistinguishable mystical materials. J. Mech. Phys. Solids 55, 16181660 (2007).CrossRefGoogle Scholar
Lee, J.H., Lee, H., and Kim, D.H.: A numerical approach to elastic modulus evaluation using conical indenter with finite tip radius. J. Mater. Res. 23, 25282537 (2008).Google Scholar
Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A., and Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 38993918 (2001).Google Scholar
Chollacoop, N., Dao, M., and Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 37133729 (2003).CrossRefGoogle Scholar
Tabor, D.: The Hardness of Metals (Clarendon Press, Oxford, 1951).Google Scholar
Cao, Y.P. and Lu, J.: A new method to extract the plastic properties of metal materials from an instrumented spherical indentation loading curve. Acta Mater. 52, 40234032 (2004).Google Scholar
Lee, J.H., Kim, T., and Lee, H.: A study on robust indentation techniques to evaluate elastic–plastic properties of metals. Int. J. Solids. Struct. 47, 647664 (2010).Google Scholar
Beghini, M., Bertini, L., and Fontanari, V.: Evaluation of the stress–strain curve of metallic materials by spherical indentation. Int. J. Solids Struct. 43, 24412459 (1994).Google Scholar
Bobzin, K., Bagcivan, N., Theiß, S., Brugnara, R., and Perne, J.: Approach to determine stress strain curves by FEM supported nanoindentation. Materialwiss. Werkstofftech. 44, 571576 (2013).Google Scholar
Juliano, T.F., VanLandingham, M.R., Weerasooriya, T., and Moy, P.: Extracting stress–strain and compressive yield stress information from spherical indentation. Army Res. Lab., ARL-TR-4229, 1–16 (2007).Google Scholar
Alkorta, J., Martinez-Esnaola, J.M., and Gil Sevillano, J.: Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load–penetration data. J. Mater. Res. 20, 432437 (2005).Google Scholar
Luo, J., Lin, J., and Dean, T.A.: A study on the determination of mechanical properties of a power-law material by its indentation force–depth curve. Philos. Mag. 86, 28812905 (2006).Google Scholar
Cheng, Y.T. and Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44, 91149 (2004).Google Scholar
Swaddiwudhipong, S., Tho, K.K., Liu, Z.S., and Zeng, K.: Material characterization based on dual indenters. Int. J. Solids Struct. 42, 6983 (2005).Google Scholar
Bucaille, J.L., Stauss, S., Felder, E., and Michler, J.: Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 16631678 (2003).Google Scholar
Le, M.: Materials characterization by dual indenter. Int. J. Solids Struct. 46, 29882998 (2009).Google Scholar
Hyun, H.C., Kim, M., Lee, J.H., and Lee, H.: A dual conical indentation technique based on FEA solutions for property evaluation. Mech. Mater. 43, 313331 (2011).CrossRefGoogle Scholar
Shim, S., Oliver, W.C., and Pharr, G.M.: A comparison of 3d finite element simulation for Berkovich and conical indentation of fused silica. Int. J. Surf. Sci. Eng. 1, 259273 (2007).Google Scholar
Min, L., Chen, W.M., Liang, N.G., and Wang, L.D.: A numerical study of indentation using indenters of different geometry. J. Mater. Res. 19, 7378 (2004).Google Scholar
Abaqus, Abaqus User’s Manual, Version 6.12: (Dassault Systemes, Providence, RI, USA, 2012).Google Scholar
Rice, J.R. and Rosengren, G.F.: Plane strain deformation near a crack-tip in a power law hardening material. J. Mech. Phys. Solids 16, 112 (1968).Google Scholar
Lee, H., Lee, J.H., and Pharr, G.M.: A numerical approach to spherical indentation techniques for material property evaluation. J. Mech. Phys. Solids 53, 20372069 (2005).Google Scholar
Qin, J., Huang, Y., Hwang, K.C., Song, J., and Pharr, G.M.: The effect of indenter angle on the microindentation hardness. Acta Mater. 55, 61276132 (2007).Google Scholar
Hay, J.L. and Crawford, B.: Measuring substrate-independent modulus of thin films. J. Mater. Res. 26, 727738 (2010).Google Scholar
Oliver, 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, 15641583 (1992).Google Scholar
King, R.B.: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Struct. 23, 16571664 (1987).Google Scholar
Hay, J.C., Bolshakov, A., and Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 22962305 (1999).Google Scholar
Pharr, G.M.: Measurement of mechanical properties by ultra-low load indentation. Mater. Sci. Eng., A 253, 151159 (1998).CrossRefGoogle Scholar
Kim, M., Bang, S., Rickhey, F., and Lee, H.: Correction of indentation load–depth curve based on elastic deformation of sharp indenter. Mech. Mater. 69, 146158 (2014).Google Scholar