Abstract
This work presents a brief introduction to fractional calculus and its application to some problems in rheology. We present two different viscoelastic models based on fractional derivatives (the Fractional Maxwell Model - FMM and the Fractional Viscoelastic Fluid - FVF) and discuss their reduction to the classical Newtonian and Maxwell fluids. A third model is also studied (an extension of the FMM to an invariant form), being given by a combination of the K-BKZ integral model with a fractional memory function which we denote the Fractional K-BKZ model. We discuss and illustrate the ability of these models to fit experimental data, and present numerical results for simple stress relaxation following step strain and steady shearing.
Original language | English |
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Title of host publication | Novel Trends in Rheology VII |
Publisher | American Institute of Physics |
Volume | 1843 |
ISBN (Electronic) | 9780735415133 |
DOIs | |
Publication status | Published - 2017 |
Event | 7th International Conference on Novel Trends in Rheology 2017 - Zlin, Czech Republic Duration: 26 Jul 2017 → 27 Jul 2017 |
Conference
Conference | 7th International Conference on Novel Trends in Rheology 2017 |
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Country/Territory | Czech Republic |
City | Zlin |
Period | 26/07/17 → 27/07/17 |
Keywords
- NONLINEAR RHEOLOGY
- RELAXATION
- EQUATIONS
- DERIVATIVES
- CALCULUS
- FLOW
- MELT