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Modeling indentation in linear viscoelastic solids

Published online by Cambridge University Press:  01 February 2011

Yang-Tse Cheng and
Che-Min Cheng
Yang-Tse Cheng
Affiliation:
Materials and Processes Laboratory, General Motors Research and Development Center, Warren, Michigan, USA
Che-Min Cheng
Affiliation:
Institute of Mechanics, Chinese Academy of Sciences, Beijing, China
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Abstract

Using analytical and finite element modeling, we study conical indentation in linear viscoelastic solids and examine the relationship between initial unloading slope, contact depth, and viscoelastic properties. We will then discuss whether the Oliver-Pharr method for determining contact depth, originally proposed for indentation in elastic and elastic-plastic solids, is applicable to indentation in viscoelastic solids.

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References

REFERENCES

1. Lee, E. H., Quarterly Appl. Math. 13 (1955) 183.Google Scholar
2. Radok, J. R. M., Quarterly Appl. Math. 15 (1957) 198.Google Scholar
3. Lee, E. H., Radok, J. R. M., J. Appl. Mech. 27 (1960) 438.Google Scholar
4. Hunter, S. C., Mech, J.. Phys. Solids 8 (1960) 219.Google Scholar
5. Graham, G. A. C., Int. J. Engng. Sci. 3 (1965) 27.Google Scholar
6. Graham, G. A. C., Int. J. Engng. Sci. 5 (1967) 495.Google Scholar
7. Yang, W. H., J. Appl. Mech. 33 (1966) 395.Google Scholar
8. Ting, T. C. T., J. Appl. Mech. 33 (1966) 845.Google Scholar
9. Ting, T. C. T., J. Appl. Mech. 35 (1968) 248.Google Scholar
10. Cheng, L., Xia, X., Yu, W., Scriven, L. E., Gerberich, W. W., J. Polymer Science: Part B: Polymer Physics 38 (2001) 10.Google Scholar
11. Larrson, P.-L., Carlsson, S., Polymer Testing 17 (1998) 49.Google Scholar
12. Shimizu, S., Yanagimoto, T., Sakai, M., J. Mat. Res. 14 (1999) 4075.Google Scholar
13. Sakai, M., Shimizu, S., J. Non-cryst. Solids 282 (2001) 236.Google Scholar
14. Sakai, M., Phil. Mag. A82 (2002) 1841.Google Scholar
15. Oyen, M. L., Cook, R. F., J. Mat. Res. 18 (2003) 139.Google Scholar
16. Oliver, W. C., Pharr, G. M., J. Mater. Res. 7 (1992) 1564.Google Scholar
17. Oliver, W. C., Pharr, G.M., J. Mat. Res. 19 (2004) 3.Google Scholar
18. Cheng, Y.-T. and Cheng, C.-M., Mat. Sci. Eng. Reports: A Review Journal R44 (2004) 91.Google Scholar
19. Sneddon, I. N., Int. J. Eng. Sci. 3 (1965) 47.Google Scholar
20. For a review see: VanLandingham, M. R., J. Res. Nat. Inst. Stand. Tech. 108 (2003) 249.Google Scholar
21. HKS, Inc. (Pawtucket, Rhode Island 02860, USA).Google Scholar
22. Ni, W., Cheng, Y.-T., Cheng, C.-M., Grummon, D. S., J. Mat. Res. 19 (2004) 149.Google Scholar