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Issue 26, 2020
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Fractional viscoelastic models for power-law materials

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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.

Graphical abstract: Fractional viscoelastic models for power-law materials

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Supplementary files

Article information


Submitted
28 Feb 2020
Accepted
30 May 2020
First published
08 Jun 2020

This article is Open Access

Soft Matter, 2020,16, 6002-6020
Article type
Review Article

Fractional viscoelastic models for power-law materials

A. Bonfanti, J. L. Kaplan, G. Charras and A. Kabla, Soft Matter, 2020, 16, 6002
DOI: 10.1039/D0SM00354A

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