Influence of friction on imperfect conical indentation for elastoplastic material

Abstract

The investigation of this paper provides a rationale of the influence of friction in nanoindentation testing for elastoplastic solids. The emphasis is placed on providing a detailed evaluation of the influence of the friction coefficient on the calculated hardness using an imperfect indenter. A new method for calculating the material hardness is derived. The new function can take into account the combined effects of friction and imperfect indenter tip geometry. For further investigations, some numerical simulations are executed. The results show that the new function can provide a good relationship for the hardness calculated in all friction cases. Moreover, the numerical simulations show that the friction coefficient does not significantly affect the curve of load versus indentation depth, whereas it significantly influences the deformations of the specimen surface around the indenter for some materials.

Keywords

NANOINDENTATION FRICTION NUMERICAL SIMULATION IMPERFECT CONE INDENTER MATERIAL CHARACTERISATION FINITE ELEMENT METHOD

Get full access to this article

View all access options for this article.

References

Luo

and Jin

: ‘A study on the determination of plastic properties of metals by instrumented indentation using two sharp indenters’, Int. J. Solids Struct., 2007, 44, 5803–5817.

Venkatesh

T. A.

: ‘Determination of elasto-plastic properties by instrumented sharp indentation: guidelines for property extrac-tion’, Scr. Mater., 2000, 42, 833–839.

Herrmann

, Hasche

, Pohlenz

and Seemann

: ‘Characterisation of the geometry of indenters used for the micro- and nanoindentation method’, Measurement, 2001, 29, 201–207.

Zhang

and Sakai

: ‘Geometrical effect of pyramidal indenters on the elastoplastic contact behaviors of ceramics and metals’, Mater. Sci. Eng. A, 2004, A381, 62–70.

Antunes

J. M.

, Menezes

L. F.

and Fernandes:

J. V.

‘Influence of Vickers tip imperfection on depth sensing indentation tests’. Int. J. Solids Struct., 2007, 44, 2732–2747.

Bouzakis

K. D.

, Michailidis

, Hadjiyiannis

, Skordaris

and Erkens

: ‘The effect of specimen roughness and indenter tip geometry on the determination accuracy of thin hard coatings stress—strain laws by nanoindentation’, Mater. Charact., 2003, 49, 149–156.

Yan

W. Y.

, Sun

Q. P.

, Feng

X. Q.

and Qian:

L. M.

‘Analysis of spherical indentation of superelastic shape memory alloys’, Int. J. Solids Struct, 2007, 44, 1–17.

Solberg

J. M.

, Jones

R. E.

and Papadopoulos

: ‘A family of simple two-pass dual formulations for the finite element solution of contact problems’, Comput. Methods AppL Mech. Eng., 2007, 196, 782–802.

Youn

S. W.

and Kang:

C. G.

TEA study on nanodeformation behaviors of amorphous silicon and borosilicate considering tip geometry for pit array fabrication’, Mater. ScL Eng. A, 2005, A390, 233–239.

10.

Johnson

K. L.

: ‘Contact mechanics’; 1985, Cambridge, Cambridge University Press.

11.

Guo

W. C.

, Rauchs

, Zhang

W. H.

and Ponthot:

J. P.

‘Influence of friction in material characterization in microindentation measurement’, Journal of Computational and Applied Mathematics. In Press, corrected proof available online.

12.

Mata

and Alcala

: ‘The role of friction on sharp indentation’, J. Mech. Phys. Solids, 2004, 54, 145–165.

13.

Oliver

and Pharr:

G. M.

‘An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments’, J. Mater. Res., 1992, 7, 1564–1583.

14.

Fischer-Cripps

A. C.

: ‘Nanoindentation’ 2002, Berlin, New York, Springer-Verlag.

15.

Dao

, Chollacoop

, van Vliet

K. J.

, Venkatesh

T. A.

and Suresh

: ‘Computational modeling of the forward and reverse problems in instrumented sharp indentation’, Acta Mater., 2001, 49, 3899–3918.

16.

Chen

, Ogasawara

, Zhao

M. H.

and Chiba:

‘On the uniqueness of measuring elastoplastic properties from indentation: the indistinguishable mystical materials’, J. Mech. Phys. Solids, 2007, 55, 1618-1660.

17.

Bucaille

J. L.

, Stauss

, Felder

and Michler:

‘Determination of plastic properties of metals by instrumented indentation using different sharp indenters’, Acta Mater., 2003, 51, 1663-1678.

18.

Ponthot

J. P.

: ‘Finite element code: METAFOR’, available at: http://metafor.ltas.ulg.ac.be/dokuwiki/