Fractional viscoelastic models for power-law materials
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.
Cite
@article{arxiv.2003.07834,
title = {Fractional viscoelastic models for power-law materials},
author = {Alessandra Bonfanti and Jonathan Louis Kaplan and Guillaume Charras and Alexandre J Kabla},
journal= {arXiv preprint arXiv:2003.07834},
year = {2020}
}
Comments
28 pages, 12 figures. Soft Matter (2020)