Modelling the time-dependent behavior of elastomers using fractional viscoelastic material formulations

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • Arne Leenders
  • Hamed Vahdati Zadeh
  • Matthias Wangenheim
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Details

Original languageEnglish
Title of host publicationAdvanced Materials
Subtitle of host publicationDesign, Processing, Characterization, and Applications
PublisherAmerican Society of Mechanical Engineers(ASME)
Number of pages7
ISBN (electronic)9780791885574
Publication statusPublished - 25 Jan 2021
EventASME 2021 International Mechanical Engineering Congress and Exposition, IMECE 2021 - Virtual, Online
Duration: 1 Nov 20215 Nov 2021

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume3

Abstract

Elastomer materials are often used for components such as tire treads or hydraulic sealings, when deformable and damping behavior of components are desired and high dynamic loads appear. Such elastomers show time- and frequency-dependent characteristics, called viscoelasticity. The modelling of viscoelastic material is mainly implemented in simulations by rheological models, which often consists of elastic and damping elements. A viscoelastic model can be parametrized to experimental data to describe a specific elastomer with high accuracy. The most common model is the Prony-series. This model uses several Maxwell-branches (connection of one elastic and one damping element in series). Every branch is only able to fit the experimental behavior at one single excitation frequency. This fact makes it necessary to use a lot of parameters for adapting the frequency- and temperature-dependent characteristics over decades of the excitation frequency. To overcome this need for a huge amount of parameters we formulate a fractional viscoelastic model approach that gets along with a much smaller set of parameters, using finite elements. In order to reduce the numerical effort, a similarly formulated model is set up on force-displacement level additionally. In this way, the complexity of the simulation can be reduced with mapping of the material behavior.

ASJC Scopus subject areas

Cite this

Modelling the time-dependent behavior of elastomers using fractional viscoelastic material formulations. / Leenders, Arne; Zadeh, Hamed Vahdati; Wangenheim, Matthias.
Advanced Materials: Design, Processing, Characterization, and Applications. American Society of Mechanical Engineers(ASME), 2021. V003T03A044 (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 3).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Leenders, A, Zadeh, HV & Wangenheim, M 2021, Modelling the time-dependent behavior of elastomers using fractional viscoelastic material formulations. in Advanced Materials: Design, Processing, Characterization, and Applications., V003T03A044, ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 3, American Society of Mechanical Engineers(ASME), ASME 2021 International Mechanical Engineering Congress and Exposition, IMECE 2021, Virtual, Online, 1 Nov 2021. https://doi.org/10.1115/IMECE2021-71178
Leenders, A., Zadeh, H. V., & Wangenheim, M. (2021). Modelling the time-dependent behavior of elastomers using fractional viscoelastic material formulations. In Advanced Materials: Design, Processing, Characterization, and Applications Article V003T03A044 (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 3). American Society of Mechanical Engineers(ASME). https://doi.org/10.1115/IMECE2021-71178
Leenders A, Zadeh HV, Wangenheim M. Modelling the time-dependent behavior of elastomers using fractional viscoelastic material formulations. In Advanced Materials: Design, Processing, Characterization, and Applications. American Society of Mechanical Engineers(ASME). 2021. V003T03A044. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)). doi: 10.1115/IMECE2021-71178
Leenders, Arne ; Zadeh, Hamed Vahdati ; Wangenheim, Matthias. / Modelling the time-dependent behavior of elastomers using fractional viscoelastic material formulations. Advanced Materials: Design, Processing, Characterization, and Applications. American Society of Mechanical Engineers(ASME), 2021. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)).
Download
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