Hostname: page-component-7b7567c8c-tnzcf Total loading time: 0 Render date: 2026-11-15T02:10:30.076Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical analysis of plastic deformation evolution into metallic materials during spherical indentation process

Published online by Cambridge University Press:  31 January 2011

M. Beghini,
L. Bertini,
V. Fontanari and
B.D. Monelli
M. Beghini
Affiliation:
Department of Mechanical, Nuclear and Production Engineering, University of Pisa, 56126 Pisa, Italy
L. Bertini
Affiliation:
Department of Mechanical, Nuclear and Production Engineering, University of Pisa, 56126 Pisa, Italy
V. Fontanari
Affiliation:
Department of Mechanical, Nuclear and Production Engineering, University of Pisa, 56126 Pisa, Italy
B.D. Monelli*
Affiliation:
Department of Materials Engineering and Industrial Technologies, University of Trento, 38100 Trento, Italy
*
a) Address all correspondence to this author. e-mail: bernardo.monelli@ing.unitn.it
Get access

Abstract

The present paper deals with the plastic deformation process into metallic materials occurring in the subindenter region during the loading cycle of spherical indentation test. Load–indentation-depth curve and plastic strains field evolution in the region beneath the indenter are examined using finite element analysis (FEA). The FE model was set up and validated by comparison with experimental spherical indentations carried out on two different materials (Al6082-T6, AISI H13) under four different friction conditions, corresponding to friction coefficients equal to 0.0, 0.1, 0.3, and 0.5. It is confirmed that friction effects on load–indentation-depth curves are negligible for the investigated penetration depths, whereas the plastic deformation process is affected by the contact conditions. The investigation shows that, although the L–h curve is not affected by the contact conditions up to medium values of the penetration depth, remarkable effects are produced in the overall plastic core under the indenter. A strong correlation between plastic strains field and friction coefficient is especially observed at low values of this parameter, whereas a saturation of the phenomena is found for medium-high values of the friction coefficient.

Keywords

Stress/strain relationship

Information

Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009, pp. 1270 - 1278
Copyright
Copyright © Materials Research Society 2009

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.)

Article purchase

Temporarily unavailable

References

REFERENCES

1.Cheng, Y.T. and Cheng, C.M.: Relationship between hardness, elastic modulus and the work of indentation. Appl. Phys. Lett. 73, 614 (1998).CrossRefGoogle Scholar
2.Giannakopoulos, A.E. and Suresh, S.: Determination of elastoplas-tic properties by instrumented sharp indentation. Scr. Mater. 40, 1191 (1999).CrossRefGoogle Scholar
3.Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A., and Suresh, S.: Computational modelling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).CrossRefGoogle Scholar
4.Mata, M. and Alcalá, J.: The role of friction on sharp indentation. J. Mech. Phys. Solids 52, 145 (2004).CrossRefGoogle Scholar
5.Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation. Advances in understanding and refinements to methodology. J. Mater. Res. 19, 3 (2004).CrossRefGoogle Scholar
6.Taljat, B., Zacharia, T., and Kosel, F.: New analytical procedure to determine stress-strain curve from spherical indentation data. Int. J. Solids Struct. 33, 4411 (1998).CrossRefGoogle Scholar
7.Herbert, E.G., Pharr, G.M., Oliver, W.C., Lucas, B.N., and Hay, J.L.: On the measurement of stress-strain curves by spherical indentation. Thin Solid Films 398–399, 331 (2001).CrossRefGoogle Scholar
8.Nayebi, A., El Abdi, R., Bartier, O., and Mauvoisin, G.: New procedure to determine steel mechanical parameters from spherical indentation technique. Mech. Mater. 34, 243 (2002).CrossRefGoogle Scholar
9.Cao, Y.P. and Lu, J.: A new method to extract the plastic properties of metals materials from an instrumented spherical indentation loading curve. Acta Mater. 52, 4023 (2004).CrossRefGoogle Scholar
10.Lee, H., Lee, J.H., and Pharr, G.M.: A numerical approach to spherical techniques for material property evaluation. J. Mech. Phys. Solids 53, 2037 (2005).CrossRefGoogle Scholar
11.Zhao, 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
12.Beghini, M., Bertini, L., and Fontanari, V.: Evaluation of the stress-strain curve of metallic materials by spherical indentation. Int. J. Solids Struct. 43, 2441 (2006).CrossRefGoogle Scholar
13.Cao, Y.P., Qian, X., and Huber, N.: Spherical indentation into elastoplastic materials. Indentation-response based definitions of the representative strain. Mater. Sci. Eng. A 454–455, 1 (2007).CrossRefGoogle Scholar
14.Cheng, Y.T. and CCheng, M.: Scaling approach to conical indentation in elastic-plastic solids with work hardening. J. Appl. Phys. 84, 1284 (1998).CrossRefGoogle Scholar
15.Cheng, Y.T. and CCheng, M.: Scaling, dimensional analysis and indentation measurements. Mater. Sci. Eng. R 44, 91 (2004).CrossRefGoogle Scholar
16.Mesarovic, S.D. and Fleck, N.A.: Spherical indentation of elastic-plastic solids. Proc. R. Soc. London, Ser. A 455, 2707 (1999).CrossRefGoogle Scholar
17.Hertz, H.: Miscellaneous Papers by H. Hertz, edited by Jones, D.E. and Schott, J.A. (Macmillan, London, 1896).Google Scholar
18.Tabor, D.: The Hardness of Metals (Clarendon Press, Oxford, UK, 1951).Google Scholar
19.Johnson, K.L.: The correlation of indentation experiments. J. Mech. Phys. Solids 18, 115 (1970).CrossRefGoogle Scholar
20.Johnson, K.L.: Contact Mechanics (Cambridge University Press, Cambridge, UK, 1985).CrossRefGoogle Scholar
21.Hill, R., Storakes, B., and Zdunek, A.B.: A theoretical study of the Brinnel hardness test. Proc. R. Soc. London Ser. A 436, 301 (1989).Google Scholar
22.Taljat, B. and Pharr, G.M.: Development of pile-up during spherical indentation of elastic-plastic solids. Int. J. Solids Struct. 41, 3891 (2004).CrossRefGoogle Scholar
23.Habbad, H., Mellor, B.G., and Syngellakis, S.: Post-yield characterization of metals with significant pile-up through spherical indentation. Acta Mater. 54, 1965 (2006).CrossRefGoogle Scholar
24.Beghini, M., Bertini, L., Bosio, L., Fontanari, V., and Valleggi, R.: Design of the “Diaptometro”, testing machine for the mechanical characterization of metallic materials by instrumented spherical indentation. Proceedings AIAS 2006, Ancona, Italy, 13–16 September 2006, on-line at (www.aiasonline.org).Google Scholar
25.Bathe, K.J.: Finite Element Procedure (Prentice Hall, Upper Saddle River, NJ, 1996).Google Scholar
26.Nayebi, A., Bartier, O., Mauvoisin, G., and El Abdi, R.: New method to determine the mechanical properties of heat treated steels. Int. J. Mech. Sci. 43, 2679 (2001).CrossRefGoogle Scholar