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On the measurement of energy dissipation using nanoindentation and the continuous stiffness measurement technique

Published online by Cambridge University Press:  04 November 2013

Erik G. Herbert ,
Kurt E. Johanns ,
Robert S. Singleton  and
George M. Pharr
Erik G. Herbert*
Affiliation:
Department of Materials Science and Engineering, University of Tennessee, College of Engineering, Knoxville, Tennessee 37996-2200
Kurt E. Johanns
Affiliation:
Department of Materials Science and Engineering, University of Tennessee, College of Engineering, Knoxville, Tennessee 37996-2200
Robert S. Singleton
Affiliation:
Department of Materials Science and Engineering, University of Tennessee, College of Engineering, Knoxville, Tennessee 37996-2200
George M. Pharr
Affiliation:
Department of Materials Science and Engineering, University of Tennessee, College of Engineering, Knoxville, Tennessee 37996-2200; and Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6132
*
a)Address all correspondence to this author. e-mail: eherbert@utk.edu
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Abstract

New experimental methods have been developed to optimize the accuracy and precision of the measured phase angle in nanoindentation experiments on viscoelastic materials performed with a Berkovich indenter. Measurements conducted in fused silica and sapphire form the basis of a new instrument calibration. Experimental verification of the new calibration and an enhanced test method is demonstrated in polycarbonate (PC) and polymethyl methacrylate (PMMA). In comparison to the standard continuous stiffness measurement (CSM) technique, the new calibration and test method reduces the measurement error in the phase angle of PC from 1900% to 10% and from 135% to 10% in PMMA. Scatter in phase angle measured by the new test method is nearly 10 times less than the level observed using the standard CSM technique. The effect of time dependent deformation on the measured phase angle is also documented. The experimental observations and results are applicable to a variety of dynamic nanoindentation test methods.

Type
Articles
Information
Journal of Materials Research , Volume 28 , Issue 21 , 14 November 2013 , pp. 3029 - 3042
Copyright
Copyright © Materials Research Society 2013 

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References

REFERENCES

Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19(1), 3 (2004).CrossRefGoogle Scholar
White, C.C., Vanlandingham, M.R., Drzal, P.L., Chang, N-K., and Chang, S-H.: Viscoelastic characterization of polymers using instrumented indentation. II. Dynamic testing. J. Polym. Sci., Part B: Polym. Phys. 43(14), 1812 (2005).CrossRefGoogle Scholar
Pathak, S., Swadener, J.G., Kalidindi, S.R., Courtland, H.W., Jepsen, K.J., and Goldman, H.M.: Measuring the dynamic mechanical response of hydrated mouse bone by nanoindentation. J. Mech. Behav. Biomed. Mater. 4(1), 34 (2011).CrossRefGoogle ScholarPubMed
Huang, G., Daphalapurkar, N.P., Gan, R.Z., and Lu, H.: A method for measuring linearly viscoelastic properties of human tympanic membrane using nanoindentation. J. Biomech. Eng. 130(1), 014501 (2008).CrossRefGoogle ScholarPubMed
Bembey, A.K., Oyen, M.L., Bushby, A.J., and Boyde, A.: Viscoelastic properties of bone as a function of hydration state determined by nanoindentation. Philos. Mag. 86(33–35), 5691 (2006).CrossRefGoogle Scholar
Rodriguez, N., Oyen, M.L., and Shefelbine, S.J.: Insight into differences in nanoindentation properties of bone. J. Mech. Behav. Biomed. Mater. 18, 90–99 (2013).CrossRefGoogle Scholar
Kim, D.G., Gyoon, D., Huja, S.S., Navalgund, A., D’Atri, A., Tee, B.C., Reeder, S., and Lee, H.R.: Effect of estrogen deficiency on regional variation of a viscoelastic tissue property of bone. J. Biomech. 46(1), 110–115 (2013).CrossRefGoogle ScholarPubMed
Kim, D.G., Huja, S.S., Hye, R.L., Tee, B.C., and Hueni, S.: Relationships of viscosity with contact hardness and modulus of bone matrix measured by nanoindentation. J. Biomech. Eng. 132, 2 (2010).CrossRefGoogle ScholarPubMed
Isaksson, H., Malkiewicz, M., Nowak, R., Helminen, H.J., and Jurvelin, J.S.: Rabbit cortical bone tissue increases its elastic stiffness but becomes less viscoelastic with age. Bone 47(6), 1030 (2010).CrossRefGoogle ScholarPubMed
Isaksson, H., Nagao, S., MaŁkiewicz, M., Julkunen, P., Nowak, R., and Jurvelin, J.S.: Precision of nanoindentation protocols for measurement of viscoelasticity in cortical and trabecular bone. J. Biomech. 43(12), 2410 (2010).CrossRefGoogle ScholarPubMed
Sakai, M.: Time-dependent viscoelastic relation between load and penetration for an axisymmetric indenter. Philos. Mag. A 82(10), 1841 (2002).CrossRefGoogle Scholar
Cheng, L., Xia, X., Yu, W., Scriven, L.E., and Gerberich, W.W.: Flat-punch indentation of viscoelastic material. J. Polym. Sci., Part B: Polym. Phys. 38(1), 10 (2000).3.0.CO;2-6>CrossRefGoogle Scholar
Herbert, E.G., Oliver, W.C., Lumsdaine, A., and Pharr, G.M.: Measuring the constitutive behavior of viscoelastic solids in the time and frequency domain using flat punch nanoindentation. J. Mater. Res. 24(3), 626 (2009).CrossRefGoogle Scholar
Capodagli, J. and Lakes, Roderic: Isothermal viscoelastic properties of PMMA and LDPE over 11 decades of frequency and time: a test of time–temperature superposition. Rheol. Acta 47(7), 777 (2008).CrossRefGoogle Scholar
Crowet, C.B.: Long term physical ageing of polycarbonate at room temperature: dynamic mechanical measurements. J. Mater. Sci. 34(8), 1701 (1999).CrossRefGoogle Scholar
Guerdoux, L., Duckett, R.A., and Froelich, D.: Physical ageing of polycarbonate and PMMA by dynamic mechanical measurements. Polymer 25(10), 1392 (1984).CrossRefGoogle Scholar
Kolman, H.J., Ard, K., and Beatty, C.L.: Variation of dynamic mechanical properties of polycarbonate as a result of deformation. Polym. Eng. Sci. 22(15), 920 (1982).CrossRefGoogle Scholar
Herbert, E.G., Oliver, W.C., and Pharr, G.M.: Nanoindentation and the dynamic characterization of viscoelastic solids. J. Phys. D: Appl. Phys. 41(7), 074021 (2008).CrossRefGoogle Scholar
Pharr, G.M., Strader, J.H., and Oliver, W.C.: Critical issues in making small-depth mechanical property measurements by nanoindentation with continuous stiffness measurement. J. Mater. Res. 24(3), 653 (2009).CrossRefGoogle Scholar
Lakes, R.S.: Viscoelastic Solids (CRC Press, Boca Raton, FL, 1999), pp. 156–162.Google Scholar