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Identification of viscoelastic properties by means of nanoindentation taking the real tip geometry into account

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Abstract

Motivated by recent progress in viscoelastic indentation analysis, the identification of viscoelastic properties from nanoindentation test data taking the real tip geometry into account is presented in this paper. Based on the elastic solution of the indentation problem, the corresponding viscoelastic solution is obtained by the application of the method of functional equations. This general solution, which accounts for the real geometric properties of the indenter tip, is specialized for the case of a trapezoidal load history, commonly employed in nanoindentation testing. Three deviatoric creep models, the single dash-pot, the Maxwell, and the three-parameter model are considered. The so-obtained expressions allow us to determine viscoelastic model parameters via back calculation from the measured load–penetration history. The presented approach is illustrated by the identification of short-term viscoelastic properties of bitumen. Hereby, the influence of loading rate, maximum load, and temperature on the model parameters is investigated.

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Authors and Affiliations

  1. Institute for Mechanics of Materials and Structures, Vienna University of Technology, Karlsplatz 13/202, 1040, Vienna, Austria

    Andreas Jäger & Josef Eberhardsteiner

  2. Computational Mechanics, Technical University of Munich, Arcisstrasse 21, 80333, Munich, Germany

    Roman Lackner

Authors
  1. Andreas Jäger
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  2. Roman Lackner
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  3. Josef Eberhardsteiner
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Correspondence to Andreas Jäger.

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Jäger, A., Lackner, R. & Eberhardsteiner, J. Identification of viscoelastic properties by means of nanoindentation taking the real tip geometry into account. Meccanica 42, 293–306 (2007). https://doi.org/10.1007/s11012-006-9041-7

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  • DOI: https://doi.org/10.1007/s11012-006-9041-7

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