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Limit analysis-based approach to determine the material plastic properties with conical indentation

Published online by Cambridge University Press:  01 April 2006

Nagahisa Ogasawara,
Norimasa Chiba and
Xi Chen
Nagahisa Ogasawara
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027-6699; and 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
Xi Chen*
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027-6699
*
a) Address all correspondence to this author. e-mail: xichen@civil.columbia.edu
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Abstract

Representative strain plays an important role in indentation analysis; by using the representative strain and stress, the normalized indentation load becomes a function of one variable, which facilitates the reverse analysis of obtaining the material plastic properties. The accuracy of such function is critical to indentation analysis. Traditionally, polynomial functions are used to fit the function, which does not incorporate correct elastic/plastic limits and has no physical basis. In this paper, we have proposed a new limit analysis-based functional formulation based on the theoretical solutions of conical/wedge indentation on elastic and rigid plastic solids. It is found that both limits agree well with numerical results, and the new approach involves no—or at most one—fitting parameter, which can be obtained with much less effort compare with the traditional polynomial approach. Reverse analyses on five different materials have shown that the new and simple limit analysis-based formulation works better than the traditional polynomial fit. The new technique may be used to quickly and effectively measure material plastic properties for any conical indenter if the elastic modulus is known a priori.

Keywords

Elastic propertiesHardnessStress/strain relationship

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Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 4 , April 2006, pp. 947 - 957
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1.Cheng, Y.T., Cheng, C.M.: Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load-penetration data. J. Mater. Res. 20, 432 (2005).Google Scholar
2.Cheng, Y.T., Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. R44, 91 (2004).CrossRefGoogle Scholar
3.Johnson, K.L.: Contact Mechanics (Cambridge University Press, Cambridge, UK, 1985).CrossRefGoogle Scholar
4.Mesarovic, S.D., Fleck, N.A.: Spherical indentation of elastic-plastic solids. Proc. Roy. Soc. London A455, 2707 (1999).CrossRefGoogle Scholar
5.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
6.Bucaille, J.L., Stauss, S., Felder, E., Michler, J.: Determination of plastic properties of metals by instrumented indentation using differnt sharp indenters. Acta Mater. 51, 1663 (2003).CrossRefGoogle Scholar
7.Chollacoop, N., Dao, M., Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).CrossRefGoogle Scholar
8.Ogasawara, N., Makiguchi, W., Chiba, N.: Plastic Properties determination method for power-law hardening material using plural triangular pyramid indenters. Trans. Jpn. Soc. Mech. Eng. 70, 1529 (2004).CrossRefGoogle Scholar
9.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 (2005).CrossRefGoogle Scholar
10.Cao, Y.P., 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
11.Alkorta, J., Martinez-Esnaola, J.M., Sevillano, J. Gil: Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load-penetration data. J. Mater. Res. 20, 432 (2005).CrossRefGoogle Scholar
12.Ogasawara, N., Chiba, N., Chen, X.: Representative strain in indentation analysis. J. Mater. Res. 20, 2225 (2005).CrossRefGoogle Scholar
13.Wang, L., Rokhlin, S.I.: Universal scaling functions for continuous stiffness nanoindentation with sharp indenters. Int. J. Solids Struct. 42, 3807 (2005).CrossRefGoogle Scholar
14.ANSYS 2003, Ansys Release 8.0 Documentation (ANSYS Inc., Canonsburg, PA).Google Scholar
15.Sneddon, I.N.: The relationship between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
16.Hay, J.C., Bolshakov, A., Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 2296 (1999).CrossRefGoogle Scholar
17.Lockett, F.J.: Indentation of a rigid/plastic material by a conical indenter. J. Mech. Phys. Solids 11, 345 (1963).CrossRefGoogle Scholar
18.Dugdale, D.S.: Wedge indentation experiments with cold-worked metals. J. Mech. Phys. Solids 2, 14 (1953).CrossRefGoogle Scholar
19.Ogasawara, N., Makiguchi, W., Chiba, N.: Plastic properties determination method using triangular pyramid indenters based on elastic solution and ridgid/perfectly plastic solution. Trans. Jpn. Soc. Mech. Eng. 71, 1406 (2005).CrossRefGoogle Scholar
20.Wang, L., Ganor, M., Rokhlin, S.I.: Inverse scaling function in nanoindentation with sharp indenters: Determination of material properties. J. Mater. Res. 20, 987 (2005).CrossRefGoogle Scholar