Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-23T18:23:51.661Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  03 March 2011

Manhong Zhao
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027-6699
Xi Chen*
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027-6699
Nagahisa Ogasawara
Affiliation:
Department of Mechanical Engineering, National Defense Academy, Hashirimizu, Yokosuka 239-8686, Japan
Anghel Constantin Razvan
Affiliation:
Department of Mechanical Engineering, National Defense Academy, Hashirimizu, Yokosuka 239-8686, Japan
Norimasa Chiba
Affiliation:
Department of Mechanical Engineering, National Defense Academy, Hashirimizu, Yokosuka 239-8686, Japan
Dongyun Lee
Affiliation:
Department of Mechanical Engineering, Columbia University, New York, New York 10027-4703
Yong X. Gan
Affiliation:
Department of Mechanical Engineering, Albert Nerken School of Engineering, The Cooper Union for the Advancement of Science and Art, New York, New York 10003
*
a) Address all correspondence to this author. e-mail: xichen@civil.columbia.edu
Get access

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.

Type
Articles
Copyright
Copyright © Materials Research Society 2006

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

1.Cheng, Y.T., Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. R44, 91 (2004).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
3.Fleck, N.A., Hutchinson, J.W.: Strain gradient plasticity. Adv. Appl. Mech. 33, 295 (1997).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
5.Giannakopoulos, A.E., Suresh, S.: Determination of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191 (1998).CrossRefGoogle Scholar
6.Zeng, K., Chiu, C.H.: An analysis of load-penetration curves from instrumented indentation. Acta Mater. 49, 3539 (2001).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
8.Capehart, T.W., Cheng, Y-T.: Determining constitutive models from conical indentation: Sensitivity analysis. J. Mater. Res. 18, 827 (2003).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).Google Scholar
11.Mesarovic, S.D., Fleck, N.A.Spherical indentation of elastic-plastic solids. Proc. R. Soc. London Ser. A 455, 2707 (1999).CrossRefGoogle Scholar
12.Ogasawara, N., Chiba, N., Chen, X.: Measuring the plastic properties of bulk materials by one microindentation test. Scripta Mater. 54, 65 (2006).CrossRefGoogle Scholar
13.Chollacoop, N., Dao, M., Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).CrossRefGoogle Scholar
14.Ogasawara, N., Chiba, N., Chen, X.: Representative strain of indentation analysis. J. Mater. Res. 20, 2225 (2005).Google Scholar
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).CrossRefGoogle Scholar
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).Google Scholar
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).CrossRefGoogle Scholar
18.Standard Test Method for Vickers Hardness of Metallic Materials (American Society for Testing and Materials, West Conshohocken, PA, 1987).Google Scholar
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).CrossRefGoogle Scholar
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).Google Scholar
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).CrossRefGoogle Scholar
22.ABAQUS 6.4 User's Manual. (ABAQUS Inc., Pawtucket, RI, 2004).Google Scholar
23.Chen, X., Hutchinson, J.W., Evans, A.G.: The mechanics of indentation induced lateral cracking. J. Am. Ceram. Soc. 88, 1233 (2005).CrossRefGoogle Scholar