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The generalized Kuhn model of linear viscoelasticity

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Abstract

We propose a generalization of the Kuhn model of linear viscoelasticity. This generalization, which has four material parameters, is able to provide a near frequency independent response over a wide range of frequencies. It is useful for highly dissipative materials such as asphalt concrete. It is derived by generalizing Lubliner and Panoskaltsis’s modified Kuhn model, but we also show that it is closely related to fractional derivative models. We show that the model admits a rheological approximation, that is, an approximation by classical springs and dashpots. The model and rheological representation are compared to experimental data.

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Authors and Affiliations

  1. Civil Engineering, Case University, Bingham Building, Cleveland, OH, 44106, USA

    Vassilis P. Panoskaltsis

  2. Civil and Environmental Engineering, University of Waterloo, E2 Building, Waterloo, ON, N2L 3G1, Canada

    Katerina D. Papoulia

  3. Simulia Great Lakes, 21680 Haggerty Road, Suite 103S, Northville, MI, 48167, USA

    Saurabh Bahuguna

  4. Sest, Inc., 18000 Jefferson Park, Suite 104, Middleburg Heights, OH, 44130, USA

    Igor Korovajchuk

Authors
  1. Vassilis P. Panoskaltsis
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  2. Katerina D. Papoulia
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  3. Saurabh Bahuguna
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  4. Igor Korovajchuk
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Corresponding author

Correspondence to Katerina D. Papoulia.

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Panoskaltsis, V.P., Papoulia, K.D., Bahuguna, S. et al. The generalized Kuhn model of linear viscoelasticity. Mech Time-Depend Mater 11, 217–230 (2007). https://doi.org/10.1007/s11043-007-9044-3

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  • DOI: https://doi.org/10.1007/s11043-007-9044-3

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