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New sharp indentation method of measuring the elastic–plastic properties of compliant and soft materials using the substrate effect

  • Manhong Zhao (a1), Xi Chen (a1), Nagahisa Ogasawara (a2), Anghel Constantin Razvan (a2), Norimasa Chiba (a2), Dongyun Lee (a3) and Yong X. Gan (a4)...

Abstract

We propose a new theory with the potential for measuring the elastoplastic properties of compliant and soft materials using one sharp indentation test. The method makes use of the substrate effect, which is usually intended to be avoided during indentation tests. For indentation on a compliant and soft specimen of finite thickness bonded to a stiff and hard testing platform (or a compliant/soft thin film deposited on a stiff/hard substrate), the presence of the substrate significantly enhances the loading curvature which, theoretically, enables the determination of the material power-law elastic-plastic properties by using just one conical indentation test. Extensive finite element simulations are carried out to correlate the indentation characteristics with material properties. Based on these relationships, an effective reverse analysis algorithm is established to extract the material elastoplastic properties. By utilizing the substrate effect, the new technique has the potential to identify plastic materials with indistinguishable indentation behaviors in bulk forms. The error sensitivity and uniqueness of the solution are carefully investigated. Validity and application range of the proposed theory are discussed. In the limit where the substrate is taken to be rigid, the fundamental research is one of the first steps toward understanding the substrate effect during indentation on thin films deposited on deformable substrates.

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Corresponding author

a) Address all correspondence to this author. e-mail: xichen@civil.columbia.edu

References

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1.Cheng, Y.T., Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. R44, 91 (2004).
2.Cheng, Y.T., Cheng, C.M.: Scaling approach to conical indentation in elastic-plastic solids with work hardening. J. Appl. Phys. 84, 1284 (1998).
3.Fleck, N.A., Hutchinson, J.W.: Strain gradient plasticity. Adv. Appl. Mech. 33, 295 (1997).
4.Dao, M., Chollacoop, N., VanVliet, K.J., Venkatesh, T.A., Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).
5.Giannakopoulos, A.E., Suresh, S.: Determination of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191 (1998).
6.Zeng, K., Chiu, C.H.: An analysis of load-penetration curves from instrumented indentation. Acta Mater. 49, 3539 (2001).
7.Cheng, Y.T., Cheng, C.M.: Can stress–strain relationships be obtained from indentation curves using conical and pyramidal indenters? J. Mater. Res. 14, 3493 (1999).
8.Capehart, T.W., Cheng, Y-T.: Determining constitutive models from conical indentation: Sensitivity analysis. J. Mater. Res. 18, 827 (2003).
9.Alkorta, J., Martinez-Esnaola, J.M., Sevillano, J.G.: Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load-penetration data. J. Mater. Res. 20, 432 (2005).
10.Tho, K.K., Swaddiwudhipong, S., Liu, Z.S., Zeng, K., Hua, J.: Uniqueness of reverse analysis from conical indentation tests. J. Mater. Res. 19, 2498 (2004).
11.Mesarovic, S.D., Fleck, N.A.Spherical indentation of elastic-plastic solids. Proc. R. Soc. London Ser. A 455, 2707 (1999).
12.Ogasawara, N., Chiba, N., Chen, X.: Measuring the plastic properties of bulk materials by one microindentation test. Scripta Mater. 54, 65 (2006).
13.Chollacoop, N., Dao, M., Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).
14.Ogasawara, N., Chiba, N., Chen, X.: Representative strain of indentation analysis. J. Mater. Res. 20, 2225 (2005).
15.Ogasawara, N., Chiba, N., Chen, X.: Limit analysis-based approach to determine the material plastic properties with conical indentation. J. Mater. Res. 21, 947 (2006).
16.Ogasawara, N., Zhao, M., Razvan, A.C., Chiba, N., Chen, X.: Determine unique elastoplastic properties by indentation. J. Mech. Phys. Solids (2006, in review).
17.Zhao, M., Ogasawara, N., Chiba, N., Chen, X.: A new approach of measuring the elastic-plastic properties of bulk materials with spherical indentation. Acta Mater. 54, 23 (2006).
18.Standard Test Method for Vickers Hardness of Metallic Materials (American Society for Testing and Materials, West Conshohocken, PA, 1987).
19.Chen, X., Vlassak, J.J.: Numerical study on the measurement of thin film mechanical properties by means of nanoindentation. J. Mater. Res. 16, 2974 (2001).
20.Chiba, N., Ogasawara, N., Anghel, C.R., Chen, X. Critical penetration depth for nano/micro indentation test to determine elastic-plastic film properties deposited on hard substrates, in Proceedings of 8th Biennial ASME Conference on Engineering Systems Design and Analysis (ESDA2006, Torino, Italy, 2006).
21.Zhao, M., Chen, X., Yan, J., Karlsson, A.M.: Determination of uniaxial residual stress and mechanical properties by instrumented indentation. Acta Mater. 54, 2823 (2006).
22.ABAQUS 6.4 User's Manual. (ABAQUS Inc., Pawtucket, RI, 2004).
23.Chen, X., Hutchinson, J.W., Evans, A.G.: The mechanics of indentation induced lateral cracking. J. Am. Ceram. Soc. 88, 1233 (2005).

Keywords

New sharp indentation method of measuring the elastic–plastic properties of compliant and soft materials using the substrate effect

  • Manhong Zhao (a1), Xi Chen (a1), Nagahisa Ogasawara (a2), Anghel Constantin Razvan (a2), Norimasa Chiba (a2), Dongyun Lee (a3) and Yong X. Gan (a4)...

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