Skip to main content Accessibility help
×
Home

Observation and numerical simulation of an elastic-plastic solid loaded by a spherical indenter

  • Naoki Fujisawa (a1), Wei Li (a2) and Michael V. Swain (a3)

Abstract

The observation and finite element simulation of Ti–6Al–4V loaded by a spherical indenter were compared. The contact radius at the maximum load was 40% of the indenter radius, which resulted in a high degree of plasticity induced beneath the indenter. The spherical impression profile predicted by the simulation was in agreement with that of the observation. The local curvature of the spherical impression was shown to vary with radial distance. The overall curvature change with radial distance was more distinctive in the presence of static friction. Due to the large plastic zone in the material, neither the Field–Swain nor the Oliver–Pharr method was able to predict the elastic recovery depths in the center of indentation and at the perimeter of contact. The ratio of the two depths predicted by the latter method, however, may be used to verify the applicability of the method itself in determining the elastic modulus of a ductile material.

Copyright

Corresponding author

a) Address all correspondence to this author. e-mail: naoki@physics.usyd.edu.au

References

Hide All
1Weppelman, E.R. and Swain, M.V.: Investigation of the stresses and stress intensity factors responsible for fracture of thin protective films during ultra-micro indentation tests with spherical indenters. Thin Solid Films 286, 111 (1996).
2Bolshakov, A. and Pharr, G.M.: Influences of pileup on the measurement of mechanical properties by load and depth-sensing indentation techniques. J. Mater. Res. 13, 1049 (1998).
3Begley, M.R., Evans, A.G. and Hutchinson, J.W.: Spherical impression of thin elastic films on elastic-plastic substrates. Int. J. Solids Struct. 36, 2773 (1999).
4Mesarovic, S.D. and Fleck, N.A.: Spherical indentation of elastic-plastic solids. Proc. R. Soc. Lond. A 455, 2707 (1999).
5Chudoba, T., Schwarzer, N. and Richter, F.: New possibilities of mechanical surface characterization with spherical indenters by comparison of experimental and theoretical results. Thin Solid Films 355–356, 284 (1999).
6Zeng, K. and Chiu, C-h.: An analysis of load-penetration curves from instrumented indentation. Acta Mater. 49, 3539 (2001).
7Matsuda, K.: Prediction of stress-strain curves of elastic-plastic materials based on the Vickers indentation. Philos. Mag. A 82, 1941 (2002).
8Thurn, J., Morris, D.J. and Cook, R.F.: Depth-sensing indentation at macroscopic dimensions. J. Mater. Res. 17, 2679 (2002).
9Thurn, J. and Cook, R.F.: Indentation-induced deformation at ultramicroscopic and macroscopic contacts. J. Mater. Res. 19, 124 (2004).
10Johnson, A.E.Jr., Mechanical properties at room temperature of four cermets of tungsten carbide with cobalt binder, Technical Note 3309 of National Advisory Committee For Aeronautics (Langley Aeronautical Laboratory, Langley Field, VA, 1954)
11Field, J.S. and Swain, M.V.: A simple predictive model for spherical indentation. J. Mater. Res. 8, 297 (1993).
12Sneddon, I.N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).
13Loubet, J.L., Georges, J.M., Marchesini, O. and Meille, G.: Vickers indentation curves of magnesium oxide (MgO). J. Tribology 106, 43 (1984).
14Pharr, G.M., Oliver, W.C. and Brotzen, F.R.: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7, 613 (1992).
15Titanium Alloys, Materials Properties Handbook, edited by Boyer, R., Welsch, G., and Collings, E.W. (ASM International, Materials Park, OH, 1994)
16Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed