Cone indentation of time-dependent materials: The effects of the indentation strain rate

Mechanics of Materials

Volumn 39, Issue 1, 2007, Pages 24-38

  Kermouche, G ^a   Loubet, J L ^a   Bergheau, J M ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

Cone indentation; Finite elements; Strain rate; Time dependent material

Indexed keywords

COMPUTER SIMULATION; CREEP; ELASTOPLASTICITY; FINITE ELEMENT METHOD; INDENTATION; NANOSTRUCTURED MATERIALS; STRAIN RATE; VISCOPLASTICITY;

CONE INDENTATION; FINITE ELEMENTS; TIME-DEPENDENT MATERIALS; VISCOPLASTICITY INDEX;

CONES;

EID: 33748589185     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2006.02.005     Document Type: Article

References (35)

1. Bec S., Tonck A., Georges J.-M., Georges E., and Loubet J.-L. Improvements in the indentation method with a surface force apparatus. Philos. Mag. A 74 (1996) 1061-1072
2. Bertrand-Lambotte P., Loubet J.-L., Verpy C., and Pavan S. Nano-indentation, scratching and atomic force microscopy for evaluating the mar resistance of automative clearcoats: study of the ductile scratches. Thin Solid Films 398-399 (2001) 306-312
3. Bocciarelli M., Bolzon G., and Maier G. Parameter identification in anisotropic elastoplasticity by indentation and imprint mapping. Mech. Mater. 37 (2005) 855-868
4. Bucaille J., Felder E., and Hochstetter G. Identification of the viscoplastic behavior of a polycarbonate based on experiments and numerical modeling of the nanoindentation test. J. Mater. Sci. 37 (2001) 3999-4011
5. Bucaille J.-L., Stauss S., Felder E., and Michler J. Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 447 (2003) 1663-1678
6. Cheng L., Xia X., Scriven L.-E., and Gerbrich W.-W. Spherical-tip indentation of viscoelastic material. Mech. Mater. 37 (2005) 213-226
7. Cheng Y.-T., and Cheng C.-M. Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. 44 (2004) 91-149
8. Dao M., Chollacoop N., Van Vliet K.-J., Ventakesh T.-A., and Suresh S. Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49 (2001) 3899-3918
9. Fujiwara M., and Otsuka M. Indentation creep of β-Sn and Sn-Pb eutectic alloy. Mater. Sci. Eng. A 319-321 (2001) 929-933
10. Graham G. The contact problem in the linear theory of viscoelasticity when the time dependent contact area has any number of maxima and minima. Int. J. Eng. Sci. 5 (1967) 495-514
11. Grau P., Berg G., Meinhard H., and Mosch S. Strain rate dependence of the hardness of glass and meyer's law. J. Am. Ceram. Soc. 81 (1998) 1557-1564
12. Hill R. The Mathematical Theory of Plasticity (1950), Oxford Press, Oxford
13. Hill R. Similarity analysis of creep indentation tests. Proc. R. Soc. Lond. A 436 (1992) 617-630
14. Hill R., Storakers B., and Zdunek A.-B. A theoretical study of the Brinell hardness test. Proc. R. Soc. Lond. A 423 (1989) 301-330
15. Kermouche G., Loubet J.-L., and Bergheau J.-M. An approximate solution to the problem of cone or wedge indentation of elastoplastic solids. Compte Rendus de Mecanique 333 (2005) 389-395
16. Larsson P.-L. On creep deformation at plane contact problems. Cold Reg. Sci. Tec. 26 (1997) 67-82
17. Laursen T.-A., and Simo J.-C. A study of the mechanics of microindentation using finite elements. J. Mater. Res. 7 (1992) 618-626
18. Lee E., and Radok J. The contact problem for viscoelastic bodies. J. Appl. Mech. 27 (1960) 438-444
19. Lemaitre J., and Chaboche J.-L. Mechanics of Materials (1994), Cambridge University Press, Cambridge
20. Lockett F.-J. Indentation of a rigid/plastic material by a conical indenter. J. Mech. Phys. Solids 11 (1963) 161-175
21. Loubet, J.-L., Bauer, M., Tonck, A., Bec, S., Gauthier-manuel, B., 1993. Nanoindentation with a surface force apparatus. Mechanical properties and deformation of materials having a ultra-fine microstructures, pp. 429-447.
22. Loubet J.-L., Georges J.-M., and Meille G. Vickers indentation curves of elastoplastic materials. Microindent. Tech. Mater. Sci. Eng. (1986) 72-89
23. Love A.-E.-H. Boussinesq's problem for a rigid cone. Quart. J. Math. 282 (1939) 161-175
24. Lu H., Wang B., Ma J., Huang G., and Viswanathan H. Measurement of creep compliance of solid polymers by nanoindentation. Mech. Time-depend. Mater. 7 (2003) 189-207
25. Lucas B., Oliver W., Pharr G., and Loubet J. Time dependent deformation during indentation testing. Mater. Res. Soc. Symp. Proc. 436 (1997) 233-238
26. Ngan A., and Tang B. Viscoelastic effects during unloading in depth-sensing indentation. J. Mater. Res. 17 (2002) 2604-2610
27. Oliver W.-C., and Pharr G. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7 (1992) 1564-1583
28. Sakai M. Time-dependent viscoelastic relation between load and penetration for an axisymmetric indenter. Philos. Mag. A 82 (2002) 1841-1849
29. Sneddon I.-N. The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3 (1965) 47-57
30. Storakers B., Biwa S., and Larsson P. Similarity analysis of inelastic contact. Int. J. Sol. Struct. 34 (1997) 3061-3083
31. Systus/Sysweld, 2004. User's manual. ESI Group.
32. Tabor D. The hardness of solids. J. Appl. Phys. 145 (1971) 179
33. Ting T. The contact stresses between a rigid indenter and a viscoelastic half-space. J. Appl. Mech. 33 (1966) 845-854
34. Ward I.-M. Mechanical Properties of Solid Polymers (1974), John Wiley and Sons, New York
35. Weertman J. Creep of indium, lead, and some of their alloys with various metals. Trans. Metal. Soc. AIME 218 (1960) 207-217