Methods of obtaining instantaneous modulus of viscoelastic solids using displacement-controlled instrumented indentation with axisymmetric indenters of arbitrary smooth profiles

Materials Science and Engineering: A

Volumn 423, Issue 1-2, 2006, Pages 2-7

  Cheng, Yang Tse ^a   Cheng, Che Min ^b   Ni, Wangyang ^c  

^a GENERAL MOTORS CORPORATION   (United States)

^b INSTITUTE OF MECHANICS   (China)

^c BROWN UNIVERSITY   (United States)

Author keywords

Indentation; Instantaneous modulus; Viscoelastic solids

Indexed keywords

ELASTOPLASTICITY; FINITE ELEMENT METHOD; INDENTATION; SOLIDS;

AXISYMMETRIC INDENTERS; INSTANTANEOUS MODULUS; VISCOELASTIC SOLIDS;

VISCOELASTICITY;

ELASTOPLASTICITY; FINITE ELEMENT METHOD; INDENTATION; SOLIDS; VISCOELASTICITY;

EID: 33646162181     PISSN: 09215093     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.msea.2005.09.134     Document Type: Article

References (37)

1. Lee E.H. Quart. Appl. Math. 13 (1955) 183
2. Radok J.R.M. Quart. Appl. Math. 15 (1957) 198
3. Lee E.H., and Radok J.R.M. J. Appl. Mech. 27 (1960) 438
4. Hunter S.C. J. Mech. Phys. Solids 8 (1960) 219
5. Graham G.A.C. Int. J. Eng. Sci. 3 (1965) 27
6. Graham G.A.C. Int. J. Eng. Sci. 5 (1967) 495
7. Yang W.H. J. Appl. Mech. 33 (1966) 395
8. Ting T.C.T. J. Appl. Mech. 33 (1966) 845
9. Ting T.C.T. J. Appl. Mech. 35 (1968) 248
10. Cheng L., Xia X., Yu W., Scriven L.E., and Gerberich W.W. J. Polym. Sci., Part B: Polym. Phys. 38 (2001) 10
11. Larrson P.-L., and Carlsson S. Polym. Testing 17 (1998) 49
12. Shimizu S., Yanagimoto T., and Sakai M. J. Mater. Res. 14 (1999) 4075
13. Sakai M. Phil. Mag. A 82 (2002) 1841
14. Oyen M.L., and Cook R.F. J. Mater. Res. 18 (2003) 139
15. Yang S., Zhang Y.-W., and Zeng K. J. Appl. Phys. 95 (2004) 3655
16. Cheng Y.-T., and Cheng C.-M. Mater. Sci. Eng. Rep. A: Rev. J. R44 (2004) 91
17. Doerner M.F., and Nix W.D. J. Mater. Res. 1 (1986) 601
18. Pharr G.M., Oliver W.C., and Brotzen F.R. J. Mater. Res. 7 (1992) 613
19. Oliver W.C., and Pharr G.M. J. Mater. Res. 7 (1992) 1564
20. Briscoe B.J., Fiori L., and Pelillo E. J. Phys. D: Appl. Phys. 31 (1998) 2395
21. VanLandingham M.R. J. Res. Natl. Inst. Stand. Technol. 108 (2003) 249
22. Timoshenko S.P., and Goodier J.N. Theory of Elasticity. 3rd ed. (1970), McGraw-Hill, New York
23. Love A.E. Quart. J. Math. (Oxford Ser.) 10 (1939) 161
24. Sneddon I.N. Int. J. Eng. Sci. 3 (1965) 47
25. Cheng C.-M., and Cheng Y.-T. Appl. Phys. Lett. 71 (1997) 2623
26. Lu H., Wang B., Ma J., Huang G., and Viswanathan H. Mech. Time-Dependent Mater. 7 (2003) 189
27. Kumar M.V.R., and Narasimhan R. Curr. Sci. 87 (2004) 1088
28. Cheng Y.-T., and Cheng C.-M. J. Mater. Res. 20 (2005) 1046
29. Y.-T. Cheng, C.-M. Cheng, Relationships between initial unloading slope, contact depth, and mechanical properties for spherical indentation in linear viscoelastic solids, GM Research and Development Center Publication R&D 10,059, February 21, 2005.
30. Findley W.N., Lai J.S., and Onaran K. Creep and Relaxation of Nonlinear Viscoelastic Materials (1989), Dover, Mineola
31. Mase G.T., and Mase G.E. Continuum Mechanics for Engineers. 2nd ed. (1999), CRC, Boca Raton
32. Feng G., and Ngan A.H.W. J. Mater. Res. 17 (2002) 660
33. Ngan A.H.W., and Tang B. J. Mater. Res. 17 (2002) 2604
34. Tang B., and Ngan A.H.W. J. Mater. Res. 18 (2003) 1141
35. Ngan A.H.W., Wang H.T., Tang B., and Sze K.Y. Int. J. Solids Struct. 42 (2005) 1831
36. Ni W., Cheng Y.-T., Cheng C.-M., and Grummon D.-S. J. Mater. Res. 19 (2004) 149
37. HKS, Inc., Pawtucket, RI, USA.