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A Scaling Approach to Modeling Indentation Measurements

Published online by Cambridge University Press:  17 March 2011

Yang-Tse Cheng
Affiliation:
Materials and Processes Laboratory, General Motors Research and Development Center, Warren, Michigan 48090, U.S.A.
Zhiyong Li
Affiliation:
Materials and Processes Laboratory, General Motors Research and Development Center, Warren, Michigan 48090, U.S.A.
Che-Min Cheng
Affiliation:
Laboratory for Non-Linear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing 10008, China
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Abstract

Using dimensional analysis and finite element calculations, the relationships between hardness, elastic modulus, final contact depth, and the work of indentation are extended to conical indentation in elastic-plastic solids with various cone angles. These relationships provide new insights into indentation measurements. They may also be useful to the interpretation of results obtained from instrumented indentation experiments.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

1. Tabor, D., The Hardness of Metals, (Oxford, London, 1951); Phil. Mag. A74, 1207 (1996).Google Scholar
2. Pethica, J. B., Hutchings, R., and Oliver, W. C., Phil. Mag., A48 593 (1983).Google Scholar
3. Stone, D., LaFontaine, W. R., Alexopoulos, P., Wu, T. W., and Li, C.-Y., J. Mater. Res. 3, 141 (1988).Google Scholar
4. Bhushan, B., Kulkarni, A., Bonin, W., and Wyrobek, J., Phil. Mag. A74, 1117 (1996).Google Scholar
5. Doerner, M. F., and Nix, W. D., J. Mater. Res. 1, 601 (1986).Google Scholar
6. Loubet, J. L., Georges, J. M., and Meille, G., in Microindentation Techniques in Materials Science and Engineering, ASTM STP 889, edited by P. Blau, J. and Lawn, B. R. (American Society for Testing and Materials, Philadelphia, 1986), p. 72; J. L. Loubet, J. M. Georges, O. Marchesini, and G. Meille, J. Tribology 106, 43 (1984).Google Scholar
7. Bhattacharya, A. K., and Nix, W. D., Int. J. Solids Structures 24, 881 (1988).Google Scholar
8. Joslin, D. L. and Oliver, W. C., J. Mater. Res. 5, 123 (1990).Google Scholar
9. Oliver, W. C., and Pharr, G. M., J. Mater. Res. 7, 1564 (1992).Google Scholar
10. Kral, E. R., Komvopoulos, K., and Bogy, D. B., J. Appl. Mech. 60, 829 (1993).Google Scholar
11. Bolshakov, A., Oliver, W. C., and Pharr, G. M., J. Mater. Res. 11, 760 (1996).Google Scholar
12. Hainsworth, S. V., Chandler, H. W., and Page, T. F., J. Mater. Res. 11, 1987 (1996).Google Scholar
13. Rother, B., Surf. Coat. Tech. 86–87, 535 (1996).Google Scholar
14. Faulkner, A., Tang, K. C., Sen, S., and Arnell, R. D., J. Strain Analysis 33, 411 (1998).Google Scholar
15. Knapp, J. A., Follstaedt, D. M., Myers, S. M., Barbour, J. C., and Friedmann, T. A., J. Appl. Phys. 85, 1460 (1999).Google Scholar
16. Sakai, M., Acta Metall. Mater. 41, 1751 (1993); J. Mater. Res. 14, 3630 (1999).Google Scholar
17. Giannakopoulos, A. E. and Suresh, S., Scripta Mater. 40, 1191 (1999).Google Scholar
18. Sun, Y., Zheng, S., Bell, T., and Smith, J., Phil. Mag. Lett. 79, 649 (1999).Google Scholar
19. Cheng, C.-M. and Cheng, Y.-T., Appl. Phys. Lett. 71, 2623 (1997).Google Scholar
20. Cheng, Y.-T. and Cheng, C.-M., Phil. Mag. Lett. 77, 39 (1998).Google Scholar
21. Cheng, Y.-T. and Cheng, C.-M., J. Mater. Res. 13, 1059 (1998).Google Scholar
22. Cheng, Y.-T. and Cheng, C.-M., J. Appl. Phys. 84, 1284 (1998).Google Scholar
23. Cheng, Y.-T. and Cheng, C.-M., Phil. Mag. Lett. 78, 115 (1998).Google Scholar
24. Cheng, Y.-T. and Cheng, C.-M., Appl. Phys. Lett. 73, 614 (1998).Google Scholar
25. Cheng, Y.-T. and Cheng, C.-M., Int. J. Solids Structures 36, 1231 (1999).Google Scholar
26. Cheng, Y.-T. and Cheng, C.-M., J. Mater. Res. 14, 3493 (1999).Google Scholar
27. Cheng, Y.-T. and Cheng, C.-M., Phil. Mag. Lett. (in press).Google Scholar
28. Cheng, Y.-T. and Li, Z., J. Mater. Res. 15, 2030 (2000).Google Scholar
29. Cheng, Y.-T. and Cheng, C.-M., Surf. Coat. Tech. 133–134, 417 (2000).Google Scholar
30. Lubliner, J., Plasticity Theory (Macmillan, New York, 1990).Google Scholar
31. Dieter, G., Mechanical Metallurgy, Second Edition (McGraw-Hill, New York, 1976).Google Scholar
32. ABAQUS, version 5.6, Hibbitt, Karlsson & Sorensen, Inc. (Pawtucket, RI 02860, USA).Google Scholar