Hostname: page-component-7bb8b95d7b-dtkg6 Total loading time: 0 Render date: 2024-09-12T22:53:01.424Z Has data issue: false hasContentIssue false

On the sensitivity characteristics in the determination of the elastic and plastic properties of materials through multiple indentation

Published online by Cambridge University Press:  03 March 2011

Hongzhi Lan
Affiliation:
Department of Mechanical Engineering, Tulane University, New Orleans, Louisiana 70118
T.A. Venkatesh*
Affiliation:
Department of Mechanical Engineering, Tulane University, New Orleans, Louisiana 70118
*
a) Address all correspondence to this author. e-mail: tav@tulane.edu
Get access

Abstract

A comprehensive study of the sensitivity characteristics associated with the determination of the elasto-plastic properties of a large number of materials using several combinations of dual, triple, and quadruple sharp indentation, and spherical indentation illustrates that: (i) The lowest sensitivity to the determination of plastic properties is observed for the indenter combination that corresponds either to the largest difference in the corresponding representative stresses or the largest difference in the indenter apex angles. (ii) The triple or quadruple sharp indenter combinations considered in the present study do not show a significant improvement in the sensitivity characteristics when compared to that of the dual sharp indentation. (iii) In the determination of plastic properties through spherical indentation where two representative stresses are invoked, the highest and the lowest sensitivity, respectively, are observed for the combinations in which the differences in the representative stresses are the lowest and the highest. The sensitivity is further reduced if a large number of representative stresses are considered for the reverse analysis.

Type
Articles
Copyright
Copyright © Materials Research Society 2007

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

1Doerner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar
2Oliver, 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
3Cheng, Y.T. and Cheng, C.M.: Relationships between hardness, elastic modulus, and the work of indentation. Appl. Phys. Lett. 73, 614 (1998).CrossRefGoogle Scholar
4Giannakopoulos, A.E. and Suresh, S.: Determination of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191 (1999).CrossRefGoogle Scholar
5Venkatesh, T.A., Van Vliet, K.J., Giannakopoulos, A.E., and Suresh, S.: Determination of elasto-plastic properties by instrumented sharp indentation: Guidelines for property extraction. Scripta Mater. 42, 833 (2000).CrossRefGoogle Scholar
6Dao, 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, 3899 (2001).CrossRefGoogle Scholar
7Xu, Z.H. and Rowcliffe, D.: Method to determine the plastic properties of bulk materials by nanoindentation. Philos. Mag. A 82, 1893 (2002).CrossRefGoogle Scholar
8Huber, N., Nix, W.D., and Gao, H.: Identification of elastic-plastic material parameters from pyramidal indentation of thin films. Proc. R. Soc. Lond. A 458, 1593 (2002).CrossRefGoogle Scholar
9Bhushan, B. and Li, X.D.: Nanomechanical characterization of solid surfaces and thin films. Int. Mater. Rev. 48, 125 (2003).CrossRefGoogle Scholar
10Cheng, Y.T. and Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44, 91 (2004).CrossRefGoogle Scholar
11Nilsson, M., Warren, R., and Swain, M.V.: A critical appraisal of the interfacial toughness of ceramic-matrix composites using indentation techniques. Sci. Eng. Ceramics II Key Eng. Mater. 2, 675 (1999).Google Scholar
12Volinsky, A.A. and Gerberich, W.W.: Nanoindentation techniques for assessing mechanical reliability at the nanoscale. Microelectronic Eng. 69, 519 (2003).CrossRefGoogle Scholar
13Lou, J., Shrotriya, P., Buchheit, T., Yang, D., and Soboyejo, W.O.: A nano-indentation study on the plasticity length scale effects in LIGA Ni MEMS structures. J. Mater. Sci. 38, 4137 (2003).CrossRefGoogle Scholar
14Wei, Y.G. and Hutchinson, J.W.: Hardness trends in micron scale. J. Mech. Phy. Solids 51, 2037 (2003).CrossRefGoogle Scholar
15Borodich, F.M. and Keer, L.M.: Contact problems and depth sensing nanoindentation for frictionless and frictional boundary conditions. Int. J. Solids Struct. 41, 2479 (2004).CrossRefGoogle Scholar
16Shen, Y.L., Williams, J.J., Piotrowski, G., Chawla, N., and Guo, Y.L.: Correlation between tensile and indentation behavior of particle-reinforced metal matrix composites: An experimental and numerical study. Acta Mater. 49, 3219 (2001).CrossRefGoogle Scholar
17Nakamuura, T., Wang, T., and Sampath, S.: Determination of properties of graded materials by inverse analysis and instrumented indentation. Acta Mater. 48, 4293 (2000).CrossRefGoogle Scholar
18Giannakopoulos, A.E.: Indentation of plastically graded substrates by sharp indentors. Int. J. Solids Struct. 39, 2495 (2002).CrossRefGoogle Scholar
19Fischer-Cripps, A.C.: Analysis of instrumented indentation test data for functionally graded materials. Surf. Coat, Technol. 168, 136 (2003).CrossRefGoogle Scholar
20Cao, Y.P. and Lu, J.: A new scheme for computational modeling of conical indentation in plastically graded materials. J. Mater. Res. 19, 1703 (2004).CrossRefGoogle Scholar
21Padmanabhan, K.A., Mondal, P., and Hahn, H.: Microindentation creep of porous nanocrystalline metallic and composite compacts. J. Mater. Sci. 40, 6113 (2005).CrossRefGoogle Scholar
22Lu, L., Schwaiger, R., Shan, Z.W., Dao, M., Lu, K., and Suresh, S.: Nano-sized twins induce high sensitivity of flow stress in pure copper. Acta Mater. 53, 2169 (2005).CrossRefGoogle Scholar
23Ramamurty, U., Sridhar, S., Giannakopoulos, A.E., and Suresh, S.: An experimental study of spherical indentation on piezoelectric materials. Acta Mater. 47, 2417 (1999).CrossRefGoogle Scholar
24Giannakopoulos, A.E. and Suresh, S.: Theory of indentation of piezoelectric materials. Acta Mater. 47, 2153 (1999).CrossRefGoogle Scholar
25Rar, A., Pharr, G.M., Oliver, W.C., Karapetian, E., and Kalinin, S.V.: Piezoelectric nanoindentation. J. Mater. Res. 21, 552 (2006).CrossRefGoogle Scholar
26Bischoff, J.E.: Static indentation of anisotropic biomaterials using axially asymmetric indenters—A computational study. J. Biomech. Eng. Trans. ASME 126, 498 (2004).CrossRefGoogle ScholarPubMed
27Gupta, S., Carrillo, F., Balooch, M., Pruitt, L., and Puttlitz, C.: Simulated soft tissue nanoindentation: A finite element study. J. Mater. Res. 20, 1979 (2005).CrossRefGoogle Scholar
28Vaidynathan, R., Dao, M., Ravichandran, G., and Suresh, S.: Study of mechanical deformation in bulk metallic glass through instrumented indentation. Acta Mater. 49, 3781 (2001).CrossRefGoogle Scholar
29Schuh, C.A. and Nieh, T.G.: A nanoindentation study of serrated flow in bulk metallic glasses. Acta Mater. 51, 87 (2003).CrossRefGoogle Scholar
30Li, W.H., Zhang, T.H., Xing, D.M., Wei, B.C., Wang, Y.R., and Dong, Y.D.: Instrumented indentation study of plastic deformation in bulk metallic glasses. J. Mater. Res. 21, 75 (2006).CrossRefGoogle Scholar
31Su, C. and Anand, L.: Plane strain indentation of a Zr-based metallic glass: Experiments and numerical simulation. Acta Mater. 54, 179 (2006).CrossRefGoogle Scholar
32Gall, K., Juntunen, K., Maier, H.J., Sehitoglu, H., and Chumlyakov, Y.I.: Instrumented micro-indentation of NiTi shape-memory alloys. Acta Mater. 49, 3205 (2001).CrossRefGoogle Scholar
33Frick, C.P., Lang, T.W., Spark, K., and Gall, K.: Stress-induced martensitic transformations and shape memory at nanometer scales. Acta Mater. 54, 2223 (2006).CrossRefGoogle Scholar
34Bahr, D.F., Nibur, K.A., and Morasch, K.R.: Nanoindentation and orientation imaging: Probing small volumes and thin films for mechanical properties. J. Electron. Mater. 31, 66 (2002).CrossRefGoogle Scholar
35Minor, A.M., Lilleodden, E.T., Stach, E.A., and Morris, J.W.: In-situ transmission-electron-microscopy study of the nanoindentation behavior of Al. J. Electron. Mater. 31, 958 (2002).CrossRefGoogle Scholar
36Tabor, D.: Hardness of Metals (Clarendon Press, Oxford, UK, 1951).Google Scholar
37Giannakopoulos, A.E., Larsson, P.L., and Vestergaard, R.: Analysis of Vickers indentation. Int. J. Solids Struct. 31, 2679 (1994).CrossRefGoogle Scholar
38Larsson, P.L., Giannakopoulos, A.E., Soderlund, E., Rowcliffe, D.J., and Vestergaard, R.: Analysis of Berkovich indentation. Int. J. Solids Struct. 33, 221 (1996).CrossRefGoogle Scholar
39Cheng, 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
40Lan, H. and Venkatesh, T.A.: On the uniqueness and sensitivity issues in determining the elasto-plastic properties of power-law hardening materials through sharp and spherical indentation. (unpublished).Google Scholar
41Casals, O. and Alcala, J.: The duality in mechanical property extractions from Vickers and Berkovich instrumented indentation experiments. Acta Mater. 53, 3545 (2005).CrossRefGoogle Scholar
42Tho, K.K., Swaddiwudhipong, S., Liu, Z.S., and Zeng, K.: Simulation of instrumented indentation and material characterization. Mater. Sci. Eng., A 390, 202 (2005).CrossRefGoogle Scholar
43Wang, L. and Rokhlin, S.I.: On determination of material parameters from loading and unloading responses in nanoindentation with a single sharp indenter. J. Mater. Res. 21, 995 (2006).CrossRefGoogle Scholar
44Ogasawara, N., Chiba, N., and Chen, X.: Measuring the plastic properties of bulk materials by single indentation test. Scripta Mater. 54, 65 (2006).CrossRefGoogle Scholar
45Chollacoop, N., Dao, M., and Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).CrossRefGoogle Scholar
46Swaddiwudhipong, S., Tho, K.K., Liu, Z.S., and Zeng, K.: Material characterization based on dual indenters. Int. J. Solids Struct. 42, 69 (2005).CrossRefGoogle Scholar
47Bucaille, 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, 1663 (2003).CrossRefGoogle Scholar
48Wang, L., Ganor, M., and Rokhlin, S.I.: Inverse scaling functions in nanoindentation with sharp indenters: Determination of material properties. J. Mater. Res. 20, 987 (2005).CrossRefGoogle Scholar
49Cao, Y.P. and Lu, J.: Depth-sensing instrumented indentation with dual sharp indenters: Stability analysis and corresponding regularization schemes. Acta Mater. 52, 1143 (2004).CrossRefGoogle Scholar
50Cao, 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, 4023 (2004).CrossRefGoogle Scholar
51Zhao, M., Ogasawara, N., Chiba, N., and Chen, X.: A new approach to measure the elastic-plastic properties of bulk materials using spherical indentation. Acta Mater. 54, 23 (2006).CrossRefGoogle Scholar