A distributed order viscoelastic model for small deformations

Luis Ferrás, Maria Luísa Morgado, Magda Rebelo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


In this work we discuss the connection between classical, fractional and distributed order viscoelastic Maxwell models, presenting the basic theory supporting theseconstitutive equations, and establishing some background on the admissibility of the distributed order Maxwell model. We derive the storage and loss modulus functions for thedistributed order viscoelastic model and perform a fitting to experimental data. The fitting results are compared with the Maxwell and Fractional Maxwell models.
Original languageEnglish
Title of host publicationSYMCOMP 2021 – 5th International Conference on Numerical and Symbolic Computation
Subtitle of host publicationDevelopments and Applications: Proceedings
Place of PublicationLisboa
PublisherAPMTAC – Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional
Number of pages19
ISBN (Electronic)978-989-99410-6-9
Publication statusPublished - 2021
EventSYMCOMP 2021-5th International Conference on Numerical and Symbolic Computation: Developments and Applications - Universidade de Évora, Évora, Portugal
Duration: 25 Mar 202126 Mar 2021


ConferenceSYMCOMP 2021-5th International Conference on Numerical and Symbolic Computation


  • Distributed Order Fractional Derivatives
  • Viscoelasticity
  • Finite Differences
  • Numerical Methods

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