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Licensed Unlicensed Requires Authentication Published by De Gruyter May 23, 2013

Identification of viscoelastic model parameters by means of cyclic nanoindentation testing

  • Andreas Jäger and Roman Lackner

Abstract

A method for the identification of model parameters describing the time-dependent material behavior by means of cyclic nanoindentation is presented. The complex shear modulus of the material sample is determined from the prescribed amplitude in the load history, the measured amplitude in the penetration history, and the phase shift between the peak values for the load and the penetration. The parameters for a specific viscoelastic model are obtained by comparing the experimentally-obtained storage and loss moduli – both depending on the frequency used during cyclic testing – with the analytical expressions for the respective viscoelastic model. The presented method is applied to low-density polyethylene, giving access to the parameters of the fractional dash-pot which is used to describe the viscoelastic behavior. The results are compared with results from nanoindentation (static) creep tests, considering different maximum loads. Finally, the performance of the presented method is assessed by comparing the creep-compliance functions corresponding to the model parameters identified by nanoindentation with the macroscopic creep-compliance function obtained from bending-beam-rheometer tests.


* Correspondence address, Andreas Jäger Institute for Mechanics of Materials and Structures Vienna University of Technology Karlsplatz 13/202, A-1040 Vienna, Austria Tel.: +43158 80120 218 Fax: +43158 80120 299 E-mail:

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Received: 2007-10-24
Accepted: 2008-1-25
Published Online: 2013-05-23
Published in Print: 2008-08-01

© 2008, Carl Hanser Verlag, München

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