Analysis of Berkovich indentation

International Journal of Solids and Structures

Volumn 33, Issue 2, 1996, Pages 221-248

  Larsson, P L ^a   Giannakopoulos, A E ^a   Soderlund E ^a   Rowcliffe, D J ^a   Vestergaard, R ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BERKOVICH TEST; HARDNESS TEST; INDENTATION; INDENTATION TEST; TEST;

EID: 0001454299     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00033-7     Document Type: Article

References (27)

1. ABAQUS users manual. Version 5.2 (1992). Hibbitt, Karlsson & Sorensen, Inc., Providence, RI.
2. Andersson, M. (1994). Licenciate Thesis. Department of Solid Mechanics. Royal Institute of Technology, Stockholm, Sweden.
3. Barber, J. R. and Billings, D. A. (1990). An approximate solution for the contact area and elastic compliance of a smooth punch of arbitrary shape. Int. J. Mech. Sci. 32, 991-997.
4. Bilodeau, G. G. (1992). Regular pyramid punch problem. J. Appl. Mech. 59, 519-523.
5. Cook, R. F. and Pharr, G. M. (1990). Direct observation and analysis of indentation cracking in glasses and ceramics. J. Am. Ceram. Soc. 73, 787-817.
6. Doerner, M. F. and Nix, W. D. (1986). A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601-609.
7. Dukino, R. D. and Swain, M. V. (1992). Comparative measurement of indentation fracture toughness with Berkovich and Vickers indenter. J. Am. Ceram. Soc. 75, 3299-3304.
8. Giannakopoulos, A. E., Larsson, P.-L. and Vestergaard, R. (1994). Analysis of Vickers indentation. Int. J. Solids Structures 31, 2679-2708.
9. Gibson, L. J. and Ashby, M. F. (1988). Cellular Solids, Structure and Properties. Pergamon Press, Oxford.
10. Hallbäck, N. (1993). Licenciate Thesis. Department of Solid Mechanics. Royal Institute of Technology, Stockholm, Sweden.
11. Hill, R., Storakers, B. and Zdunek, A. B. (1989) A theoretical study of the Brinell hardness test. Proc. R. Soc. Lond. A423, 301-330
12. Johnson, K. L. (1970). The correlation of indentation experiments. J. Mech. Phys. Solids 18, 115-126.
13. King, R. B. (1487). Elastic analysis of some punch problems for a layered medium. Int. J. Solids Structures 23, 1657-1664.
14. Kral, E. R., Komvopoulos K. and Bogy, D. B. (1993). Elastic-plastic finite element analysis of repeated indentation of a half-space by a rigid sphere. J. Appl. Mech. 75, 829-841.
15. Laursen, T. A. and Simo, J. C (1992). A study of the mechanics of microindentation using finite elements. J. Mater. Res 7, 618-626.
16. Loubet, J. L., Georges, J. M., Marchesim, O. and Meille, G. (1984). Vickers indentation curves of magnesium oxide (MgO). J. Tribology 106, 43-48.
17. 4 in in sec. J. Appl. Mech. 88, 496-504.
18. Mayo, M. J. and Nix, W. D. (1988). A micro-indentation study of superplasticity in Pb, Sn, and Sn-38 wt% Pb. Acta Metall. 36, 2183-2192.
19. 2 as determined by nanoindentation. J. Mater. Res. 5, 1073-1082.
20. Oliver, W. C. and 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.
21. Pethica, J. B., Hutchings, R. and Oliver, W. C. (1983). Hardness measurement at penetration depths as small as 20 nm. Philos. Mag. A48, 593-606.
22. Rowcliffe, D. J. (1991). Quasi-static indentation of ceramics. In Erosion of Ceramic Materials (Edited by J. E. Ritter). Trans. Technical Publications.
23. Sneddon, I.N. (1945). Bousinesq's problem for a flat-ended cylinder. Proc. Cambridge Philosophical Soc. 42, 29-39.
24. Storakers, B. and Larsson, P.-L. (1994). On Brinell and Boussinesq indentation of creeping solids. J. Mech. Phys. Solids 42, 307-332.
25. 3 CVD coatings. J. Mater. Res 9, 1683-1692.
26. Tabor, D. (1951). Hardness of Metals. Clarendon Press, Oxford.
27. Williams, M. L. (1952). Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 74, 526-528.