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Application of a Fractional Viscoelastic Material Model to Rubber in Comparison to a Linear Approach

[+] Author Affiliations
Michael Burgwitz, Johan Steffen Bothe, Matthias Wangenheim

Leibniz University Hanover, Hanover, Germany

Paper No. IMECE2017-71380, pp. V009T12A028; 6 pages
  • ASME 2017 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids; NDE, Structural Health Monitoring and Prognosis
  • Tampa, Florida, USA, November 3–9, 2017
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5844-8
  • Copyright © 2017 by ASME


The modeling of material behavior is an important challenge in structural dynamics. While some materials can be well represented by a linear constitutive law, this becomes more complex when dealing with viscoelastic components. In this paper we investigate a fractional viscoelastic material model and present our results of research, focusing on its parametrical characteristics. We compare the results to a classical linear viscoelastic standard model and highlight advantages of the particular approach: we conduct monofrequent sinusoidal excitations using a DMTA (Dynamic Mechanic Thermal Analysis) machine. We use a viscoelastic TPU (Thermoplastic Polyurethane) sheet as sample and apply varying excitation frequencies and amplitudes. In a first modeling step we reproduce the experimental results with a fractional single degree-of-freedom system with promising results.

Copyright © 2017 by ASME



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