The plastic zone size in indentation experiments: The analogy with the expansion of a spherical cavity

International Journal of Solids and Structures

Volumn 43, Issue 20, 2006, Pages 5994-6013

  Mata, M ^a   Casals, O ^a   Alcala J ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Contact mechanics; Finite element simulations; Hardness; Indentation; Plasticity

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT METHOD; PLASTIC DEFORMATION; PLASTIC FLOW; STRAIN HARDENING;

CONTACT MECHANICS; LOAD REMOVAL; PLASTIC ZONE SIZE; SPHERICAL CAVITY;

INDENTATION;

EID: 33751532228     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.07.002     Document Type: Article

References (28)

1. Atkins A., and Tabor D. Plastic indentation in metals with cones. J. Mech. Phys. Solids 13 (1965) 149
2. Bignoni D., and Ludiero F. The quasi-static finite cavity expansion in a non-standard elasto-plastic medium. Int. J. Mech. Sci. 31 (1989) 825-837
3. Bishop R.F., Hill R., and Mott F.R.S. The theory of indentation and hardness tests. Proc. Phys. Soc. 57 (1945) 147-159
4. Casals O., and Alcalá J. The duality in mechanical property extractions from Vickers and Berkovich instrumented indentation experiments. Acta Mater. 53 (2005) 3545-3561
5. Chadwick P. The quasi-static expansion of a spherical cavity in metals and ideal soils. Quart. J. Mech. Appl. Math. 12 (1959) 52-71
6. Chiang S.S., Marshall D.B., and Evans A.G. The response of solids to elastic/plastic indentation. I. Stresses and residual stresses. J. Appl. Phys. 53 (1982) 298-311
7. Chiu Y.L., and Ngan A.H.W. A TEM investigation on plastic zones in Ni3Al(Cr,B) single crystals. Acta Mater. 50 (2002) 2677-2691
8. Dao M., Chollacoop N., Van Vliet K.J., Venkatesh T.A., and Suresh S. Computational modelling of the forward and reverse problems in instrumented indentation. Acta Mater. 49 (2001) 3899-3918
9. Durban D., and Baruch M. On the problem of a spherical cavity in an infinite elasto-plastic medium. J. Appl. Mech. December (1976) 633-638
10. Elmustafa A.A., and Stone D.S. Indentation size effect in polycrystalline F.C.C. metals. Acta Mater. 50 (2002) 3641-3650
11. Elmustafa A.A., Eastman J.A., Rittner M.N., Weertman J.R., and Stone D.S. Indentation size effect: large grained aluminum versus nanocrystalline aluminum-zirconium alloys. Scr. Mater. 43 (2000) 951-955
12. Giannakopoulos A.E., Larsson P.-L., and Vestergaard R. Analysis of Vickers indentation. Int. J. Solids Struct. 31 (1994) 2679-2708
13. Hill R. The Mathematical Theory of Plasticity (1950), Oxford University Press, New York
14. Huang Y., Xue Z., Gao H., Nix W.D., and Xia Z.C. A study of microindentation hardness tests by mechanism-based strain gradient plasticity. J. Mater. Res. 15 (2000) 1786-1796
15. Johnson K.L. The correlation of indentation experiments. J. Mech. Phys. Solids 18 (1970) 115-126
16. Johnson K.L. Contact Mechanics (1985), Cambridge University Press, Cambridge, UK
17. Kramer D., Huang H., Kriese M., Robach J., Nelson J., Wright A., Bahr D., and Gerberich W.W. Yield strength predictions from the plastic zone around nanocontacts. Acta Mater. 47 (1999) 333-343
18. Larsson P.-L. Investigation of sharp contact at rigid-plastic conditions. Int. J. Mech. Sci. 43 (2001) 895-920
19. Li H., and Bradt R.C. The microhardness indentation load/size effect in rutile and cassiterite single crystals. J. Mater. Sci. 28 (1993) 917-926
20. Lubliner J. Plasticity Theory (1990), Macmillan Publishing Company, USA
21. Mata M., and Alcalá J. Mechanical property evaluation through indentation experiments in elasto-plastic and fully plastic contact regimes. J. Mater. Res. 18 (2003) 1705-1709
22. Mata M., and Alcalá J. The role of friction in sharp indentation. J. Mech. Phys. Solids 52 (2004) 145-165
23. Mata M., Anglada M., and Alcalá J. Contact deformation regimes around sharp indentations and the concept of the characteristic strain. J. Mater. Res. 17 (2002) 964-976
24. Puech P., Pinel S., Jasinevicius R.G., and Pizani P.S. Mapping the three-dimensional strain field around a microindentation on silicon using polishing and Raman spectroscopy. J. Appl. Phys. 88 (2000) 4582-4585
25. Tabor D. Hardness of Metals (1951), Clarendon Press, United Kingdom
26. Woodcock C.L., and Bahr D.F. Plastic zone evolution around small scale indentations. Scr. Mater. 43 (2000) 783-788
27. Xu Z.-H., and Rowcliffe D. Method to determine the plastic properties of bulk materials by nanoindentation. Philos. Mag. A 82 (2002) 1893-1902
28. Yoshioka M. Plastically deformed region around indentations on Si single crystal. J. Appl. Phys. 76 (1994) 7790-7796