Study on the Generalized Formulations with the Aim to Reproduce the Viscoelastic Dynamic Behavior of Polymers

Appropriate modelling of the real behavior of viscoelastic materials is of fundamental importance for correct studies and analyses of structures and components where such materials are employed. In this paper, the potential to employ a generalized Maxwell model and the relative fraction derivative m...

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Bibliographic Details
Published in:Applied sciences 2020-04, Vol.10 (7), p.2321
Main Authors: Genovese, Andrea, Carputo, Francesco, Maiorano, Antonio, Timpone, Francesco, Farroni, Flavio, Sakhnevych, Aleksandr
Format: Article
Language:English
Subjects:
Computer applications
Earthquakes
Experimental data
fractal derivative
Frequency ranges
Parameter estimation
Parameter identification
Plateaus
Polymers
Rheology
Viscoelastic materials
viscoelastic models
Viscoelasticity
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Summary:Appropriate modelling of the real behavior of viscoelastic materials is of fundamental importance for correct studies and analyses of structures and components where such materials are employed. In this paper, the potential to employ a generalized Maxwell model and the relative fraction derivative model is studied with the aim to reproduce the experimental behavior of viscoelastic materials. For both models, the advantage of using the pole-zero formulation is demonstrated and a specifically constrained identification procedure to obtain the optimum parameters set is illustrated. Particular emphasis is given on the ability of the models to adequately fit the experimental data with a minimum number of parameters, addressing the possible computational issues. The question arises about the minimum number of experimental data necessary to estimate the material behavior in a wide frequency range, demonstrating that accurate results can be obtained by knowing only the data of the upper and low frequency plateaus plus the ones at the loss tangent peak.
ISSN:2076-3417
2076-3417
DOI:10.3390/app10072321