Size-dependent sharp indentation-II: A reverse algorithm to identify plastic properties of metallic materials

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 1, 2005, Pages 49-62

  Cao, Yan Ping ^a   Lu, Jian ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE TROYES   (France)

Author keywords

Geometrically necessary dislocations; Inverse problem; Plastic properties of metallic materials; Representative stress; Size dependent indentation loading curve

Indexed keywords

ALGORITHMS; DISLOCATIONS (CRYSTALS); HARDNESS; INVERSE PROBLEMS; STRAIN; TITANIUM;

GEOMETRICALLY NECESSARY DISLOCATIONS; PLASTIC PROPERTIES OF METALLIC MATERIALS; REPRESENTATIVE STRESS; SIZE-DEPENDENT INDENTATION LOADING CURVES;

PLASTICITY;

EID: 9644274252     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.06.004     Document Type: Article

References (24)

1. Arzt, E., 1998. Size effect in materials due to microstructural and dimensional constraints: a comparative review. Acta Mater. 46, 5611-5626.
2. Bucaille, J.L., Stauss, S., Felder, E., Michler, J., 2003. Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 1663-1678.
3. Cao, Y.P., Lu, J., 2004a. Depth-sensing instrumented indentation with dual sharp indenters: stability analysis and corresponding regularization schemes. Acta Mater. 52, 1143-1153.
4. Cao, Y.P., Lu, J., 2004b. A new scheme for computational modelling of conical indentation in plastically-graded materials. J. Mater. Res. 19, 1703-1716.
5. Cao, Y.P., Lu, J. Size-dependent sharp indentation-I: a closed-form expression of the indentation loading curve. J. Mech. Phys. Solids, in press, (doi: 10.1016/j.jmps.2004.06.005).
6. Capehart, T.W., Cheng, Y.T., 2003. Determining constitutive models from conical indentation: sensitivity analysis. J. Mater. Res. 18, 827-832.
7. Chollacoop, N., Dao, M., Suresh, S., 2003. Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713-3729.
8. Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A., Suresh, S., 2001. Computational modelling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899-3918.
9. De Guzman, M.S., Neubauer, G., Flinn, P., Nix, W.D., 1993. The role of indentation depth on the measured hardness of materials. Mater. Res. Symp. Proc. 308, 613-618.
10. Doener, M.F., Nix, W.D., 1986. A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601-616.
11. Elmustafa, A.A., Stone, D.S., 2003. Nanoindentation and the indentation size effect: kinetics of deformation and strain gradient plasticity. J. Mech. Phys. Solids 51, 357-381.
12. Fleck, N.A., Muller, G.M., Ashby, M.F., Hutchinson, J.W., 1994. Strain gradient plasticity: theory and experiment. Acta Metall. Mater. 42, 475-487.
13. Giannakopoulos, A.E., 2002. Indentation of plastically graded substrates by sharp indentors. Int. J. Solids Struct. 39, 2495-2515.
14. Giannakopoulos, A.E., Suresh, S., 1999. Determination of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191-1198.
15. Hadamard, J., 1923. Lectures on Cauchy's problems in linear partial differential equations. Yale University Press, New Haven, Conn.
16. Johnson, K.L., 1970. The correlation of indentation experiments. J. Mech. Phys. Solids 18, 115-126.
17. Kirsch, A., 1996. An Introduction to the Mathematical Theory of Inverse Problems. Springer, New York, p. 10.
18. Ma, Q., Clarke, D.R., 1995. Size dependent hardness in silver single crystals. J. Mater. Res. 10, 853-863.
19. Mata, M., Alcala, J., 2004. The role of friction on sharp indentation. J. Mech. Phys. Solids 52, 145-165.
20. Nix, W.D., Gao, H., 1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425.
21. Oliver, W.C., Pharr, G.M., 1992. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564-1583.
22. Stelmashenko, N.A., Walls, M.G., Brown, L.M., Milman, Y.V., 1993. Micro-indentation on W and Mo oriented single crystals: an STM study. Acta Metall. Mater. 41, 2855-2865.
23. Tabor, D., 1951. Hardness of Metals. Clarendon Press, Oxford.
24. Zhao, M.H., Slaughter, W.S., Li, M., Mao, S.X., 2003. Material-length-scale-controlled nanoindentation size effects due to strain-gradient plasticity. Acta Mater. 51, 4461-4469.