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Spherical Indentation Creep Following Ramp Loading

Published online by Cambridge University Press:  01 August 2005

Michelle L. Oyen
Michelle L. Oyen*
Affiliation:
Department of Biophysical Sciences and Medical Physics and Division of Maternal-Fetal Medicine, Department of Obstetrics, Gynecology and Women’s Health, University of Minnesota, Minneapolis, Minnesota 55455
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

Elastic-viscoelastic correspondence, utilizing Boltzmann integral operators, was used to generate displacement–time solutions for spherical indentation testing of viscoelastic materials. Solutions were found for creep following loading at a constant loading rate and compared with step-loading solutions. Experimental creep tests were performed with different loading rate–peak load level combinations on glassy and rubbery polymeric materials. The experimental data were fit to the spherical indentation ramp–creep solutions to obtain values of shear modulus and time-constants; good agreement was found between the experimental results and known modulus values. A multiple ramp-and-hold protocol was examined for the measurement of creep responses at several loads (and depths) within the same test. Emphasis is given to the use of multiple experiments (or multiple levels within a single experiment) to test a priori assumptions made in the correspondence solutions regarding linear viscoelastic material behavior and the creep function.

Keywords

Mechanical propertiesNanoindentationPolymer
Type
Articles
Information
Journal of Materials Research , Volume 20 , Issue 8 , August 2005 , pp. 2094 - 2100
Copyright
Copyright © Materials Research Society 2005

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References

REFERENCES

1Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
2Oyen, M.L. and Cook, R.F.: Load-displacement behavior during sharp indentation of viscous-elastic-plastic materials. J. Mater. Res. 18, 139 (2003).CrossRefGoogle Scholar
3Oyen, M.L., Cook, R.F., Moody, N.R. and Emerson, J.A.: Indentation responses of time-dependent films on stiff substrates. J. Mater. Res. 19, 2487 (2004).CrossRefGoogle Scholar
4Briscoe, B.J., Fiori, L. and Pelillo, E.: Nano-indentation of polymeric surfaces. J. Phys. D: Appl. Phys. 31, 2395 (1998).CrossRefGoogle Scholar
5Sakai, M. and Shimizu, S.: Indentation rheometry for glass-forming materials. J. Non-Cryst. Solids 282, 236 (2001).CrossRefGoogle Scholar
6Cheng, L., Xia, X., Yu, W., Scriven, L.E. and Gerberich, W.W.: Flat-punch indentation of a viscoelastic material. J. Polym. Sci., Part B: Polym. Phys. 38, 10 (2000).3.0.CO;2-6>CrossRefGoogle Scholar
7Cheng, L., Xia, X., Scriven, L.E. and Gerberich, W.W.: Spherical-tip indentation of viscoelastic material. Mech. Mater. 37, 213 (2005).CrossRefGoogle Scholar
8Zhang, C.Y., Zhang, Y.W. and Zeng, K.Y.: Extracting the mechanical properties of a viscoelastic polymeric film on a hard elastic substrate. J. Mater. Res. 19, 3053 (2004).CrossRefGoogle Scholar
9Lee, E.H. and Radok, J.R.M.: Contact problem for viscoelastic bodies. J. Appl. Mech. 27, 438 (1960).CrossRefGoogle Scholar
10Johnson, K.L.: Contact Mechanics (Cambridge University Press, Cambridge, U.K., 1985).CrossRefGoogle Scholar
11Cheng, Y-T. and Cheng, C-M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44, 94 (2004).CrossRefGoogle Scholar
12Moody, N.R., Reedy, E.D. Jr., and Kent, M.S.: Physical basis for interfacial traction-separation models. Report SAND2002-8567 (Sandia National Laboratories, Albuquerque, NM, and Livermore, CA, November 2002).CrossRefGoogle Scholar
13Emerson, J.A., Giunta, R.K., Reedy, D.E., Adams, D.P., Lemke, P.A., and Moody, N.R.: Process-based quality tools to verify cleaning and surface preparation. Report SAND2003-1591 (Sandia National Laboratories, Albuquerque, NM, and Livermore, CA, May, 2003).CrossRefGoogle Scholar
14Cook, R.F.: personal communication (2004).Google Scholar
15Oyen, M.L.: Spherical indentation creep following ramp loading, in Fundamentals of Nanoindentation and Nanotribology III, edited by Wahl, K.J., Huber, N., Mann, A.B., Bahr, D.F., and Cheng, Y-T. (Mater. Res. Soc. Symp. Proc. 841, Warrendale, PA, 2005), R5.9.1, p. 211.Google Scholar
16Chang, M.C., Ko, C.C., Liu, C.C., Douglas, W.H., DeLong, R., Seong, W-J., Hodges, J. and An, K-N.: Elasticity of alveolar bone near dental implant-bone interfaces after one month’s healing. J. Biomech. 36, 1209 (2003).CrossRefGoogle ScholarPubMed
17Kent, M.S., Reedy, E.D. Jr., and Stevens, M.J.: Molecular-to continuum fracture analysis of thermosetting polymer/solid interfaces. Report SAND2000-0026, November 2002, Sandia National, Laboratories, Albuquerque, NM and Livermore, CA.CrossRefGoogle Scholar
18Payne, J.A., Strojny, A., Francis, L.F. and Gerberich, W.W.: Indentation measurements using a dynamic mechanical analyzer. Polymer Eng. Sci. 38, 1529 (1998).CrossRefGoogle Scholar
19Bushby, A.J., Ferguson, V.L. and Boyde, A.: Nanoindentation of bone: Comparison of specimens tested in liquid and embedded in polymethylmethacrylate. J. Mater. Res. 19, 249 (2004).CrossRefGoogle Scholar