Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional (APMTAC)
Abstract
In this work we discuss the connection between classical, fractional and dis-
tributed order viscoelastic Maxwell models, presenting the basic theory supporting these
constitutive equations, and establishing some background on the admissibility of the dis-
tributed order Maxwell model. We derive the storage and loss modulus functions for the
distributed order viscoelastic model and perform a fitting to experimental data. The fitting
results are compared with the Maxwell and Fractional Maxwell models.L.L. Ferr´as would also like to thank FCT for financial support through projects UIDB/
00013/2020 and UIDP/00013/2020.
M.L. Morgado aknowledges funding by FCT through project UID/Multi/04621/2019 of
CEMAT/IST-ID, Center for Computational and Stochastic Mathematics, Instituto Su perior T´ecnico, University of Lisbon.
This work was partially supported by the Funda¸c˜ao para a Ciˆencia e a Tecnologia (Por tuguese Foundation for Science and Technology) through the project UIDB/00297/2020
(Centro de Matem´atica e Aplica¸c˜oes). The authors also acknowledge financial support
from COST Action CA15225, a network supported by COST (European Cooperation in
Science and Technology)
