Fractional viscoelastic models for interconverting linear viscoelastic functions of various polymeric structures

  • Stelios Katsourinis
  • Evagelia KontouEmail author
Original Contribution


In this work, the capacity of the generalized fractional Maxwell (GFMM) and Kelvin-Voigt (GFKM) models for the interconversion of dynamic to static (creep and relaxation) functions, with regard to appropriate experimental data of various polymeric structures, is examined. The analysis is executed within the frame of linear viscoelasticity. Furthermore, a comparative study with the results produced by the implementation of the fractional Zener model has been performed. A good approximation of the generated viscoelastic functions by GFKM and GFMM model was postulated. Concerning the fractional Zener model, it can be extracted that its effectiveness to the interconversion of the viscoelastic functions is dependent on the specific material’s viscoelastic response, and the wideness of the time/frequency region examined. It was found that the incorporation of a correction factor in the calculation procedure of the creep compliance function can result in significantly better results, regardless of the model used.

Graphical abstract


Interconversion Viscoelastic functions Fractional calculus 



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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Applied Mathematical and Physical Sciences, Section of MechanicsNational Technical University of AthensAthensGreece

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