Abstract
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 language | English |
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| Title of host publication | SYMCOMP 2021 – 5th International Conference on Numerical and Symbolic Computation |
| Subtitle of host publication | Developments and Applications: Proceedings |
| Place of Publication | Lisboa |
| Publisher | APMTAC – Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional |
| Pages | 179-197 |
| Number of pages | 19 |
| ISBN (Electronic) | 978-989-99410-6-9 |
| Publication status | Published - 2021 |
| Event | SYMCOMP 2021-5th International Conference on Numerical and Symbolic Computation: Developments and Applications - Universidade de Évora, Évora, Portugal Duration: 25 Mar 2021 → 26 Mar 2021 |
Conference
| Conference | SYMCOMP 2021-5th International Conference on Numerical and Symbolic Computation |
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| Country/Territory | Portugal |
| City | Évora |
| Period | 25/03/21 → 26/03/21 |
Keywords
- Distributed Order Fractional Derivatives
- Viscoelasticity
- Finite Differences
- Numerical Methods