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Fractional viscoelastic models for power-law materials.

Published version
Peer-reviewed

Type

Article

Change log

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.

Description

Keywords

cond-mat.soft, cond-mat.soft, physics.bio-ph, q-bio.QM, q-bio.TO, 26A33

Journal Title

Soft Matter

Conference Name

Journal ISSN

1744-683X
1744-6848

Volume Title

16

Publisher

Royal Society of Chemistry (RSC)
Sponsorship
Biotechnology and Biological Sciences Research Council (BB/K018175/1)
Biotechnology and Biological Sciences Research Council (BB/M002578/1)
Biotechnology and Biological Sciences Research Council (BB/P003184/1)