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Identification of viscoelastic model parameters by means of cyclic nanoindentation testing

  • Andreas Jäger and Roman Lackner
Published/Copyright: May 23, 2013
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 99 Issue 8

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.

Keywords: Viscoelasticity; Creep; Cyclic nanoindentation; Parameter identification; Polymers
* 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

Articles in the same Issue

  1. Contents
  2. Contents
  3. Editorial
  4. Editorial
  5. Basic
  6. Relating viscoelastic nanoindentation creep and load relaxation experiments
  7. Identification of viscoelastic model parameters by means of cyclic nanoindentation testing
  8. Scaling relations for viscoelastic – cohesive conical indentation
  9. Effect of the indentation depth on the evaluation of mechanical properties of thin films
  10. Investigation of the relationship between work done during indentation and the hardness and Young's modulus obtained by indentation testing
  11. Pop-in effect in Ge- and Si-coated single-crystalline Si
  12. Multi-scale mechanical characterization of a freestanding polymer film using indentation
  13. Applied
  14. Energy-based hardness of soda-lime silicate glass
  15. Mechanical properties of a-C, SiC and Ti-C: H films
  16. Influence of the mathematical model on the evaluation of nanomechanical properties of ultrathin polymer layers studied by AFM
  17. AFM testing of the nanomechanical behaviour of MEMS micromembranes
  18. Mechanical and tribological behaviour of carbon nanotube brushes
  19. Phase equilibria in the system “MnO” – CaO – SiO2 – Al2O3 – K2O relevant to manganese smelting slags
  20. Influence of grain refinement and modification on dry sliding wear behavior of Al-12Si and Al-12Si-3Cu cast alloys
  21. Measurement of the isothermal sections at 700 and 427 °C in the Al – Mg – Ni system
  22. Notifications
  23. DGM News
https://doi.org/10.3139/146.101706
Keywords for this article
Viscoelasticity; Creep; Cyclic nanoindentation; Parameter identification; Polymers

Articles in the same Issue

  1. Contents
  2. Contents
  3. Editorial
  4. Editorial
  5. Basic
  6. Relating viscoelastic nanoindentation creep and load relaxation experiments
  7. Identification of viscoelastic model parameters by means of cyclic nanoindentation testing
  8. Scaling relations for viscoelastic – cohesive conical indentation
  9. Effect of the indentation depth on the evaluation of mechanical properties of thin films
  10. Investigation of the relationship between work done during indentation and the hardness and Young's modulus obtained by indentation testing
  11. Pop-in effect in Ge- and Si-coated single-crystalline Si
  12. Multi-scale mechanical characterization of a freestanding polymer film using indentation
  13. Applied
  14. Energy-based hardness of soda-lime silicate glass
  15. Mechanical properties of a-C, SiC and Ti-C: H films
  16. Influence of the mathematical model on the evaluation of nanomechanical properties of ultrathin polymer layers studied by AFM
  17. AFM testing of the nanomechanical behaviour of MEMS micromembranes
  18. Mechanical and tribological behaviour of carbon nanotube brushes
  19. Phase equilibria in the system “MnO” – CaO – SiO2 – Al2O3 – K2O relevant to manganese smelting slags
  20. Influence of grain refinement and modification on dry sliding wear behavior of Al-12Si and Al-12Si-3Cu cast alloys
  21. Measurement of the isothermal sections at 700 and 427 °C in the Al – Mg – Ni system
  22. Notifications
  23. DGM News
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