Bonfanti, A;
Kaplan, JL;
Charras, G;
Kabla, A;
(2020)
Fractional viscoelastic models for power-law materials.
Soft Matter
10.1039/d0sm00354a.
(In press).
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Fractional viscoelastic models for power-law materials |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1039/d0sm00354a |
| Publisher version: | https://doi.org/10.1039/d0sm00354a |
| Language: | English |
| Additional information: | This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. For more information see: https://creativecommons.org/licenses/by/3.0/ |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10101753 |
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