Fractional viscoelastic models for power-law materials.
By Alessandra Bonfanti, J. Kaplan, G. Charras, Alexandre J. Kabla. Soft Matter, 2020
344 citations recorded by the source corpus.
Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distribution of time-scales present in their complex internal structure. A promising tool to accurately describe the rheological behaviour of soft materials is fractional calculus. However, its use in the scientific community remains limited due to the unusual notation and non-trivial properties of fractional operators. This review aims to provide a clear and accessible description of fractional viscoelastic models for a broad audience and to demonstrate the ability of these models to deliver a unified approach for the characterisation of power-law materials. The use of a consistent framework for the analysis of rheological data would help classify the empirical behaviours of soft and biological materials, and better understand their response.
Subfields: Fluid Flow and Transfer Processes, Food Science, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/6509ce645c651e85c7cc1bf7509afe5d7046926e
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Citations in the corpus
- Weighted Fractional Calculus: A General Class of Operators (2022, background): “Such generalisations are not only a pure mathematical curiosity, as differential equations involving the generalised operators have been applied in many scientific fields [4,5] ranging from viscoelasticity [6] to epidemiology [7] to economics [8,9] to electrical circuits [10].”