A primer on experimental and computational rheology with fractional viscoelastic constitutive models

Luís Lima Ferrás, Neville John Ford, Maria Luísa Morgado, Magda Rebelo, Gareth Huw McKinley, João Miguel Nóbrega

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Citations (Scopus)

Abstract

This work presents a brief introduction to fractional calculus and its application to some problems in rheology. We present two different viscoelastic models based on fractional derivatives (the Fractional Maxwell Model - FMM and the Fractional Viscoelastic Fluid - FVF) and discuss their reduction to the classical Newtonian and Maxwell fluids. A third model is also studied (an extension of the FMM to an invariant form), being given by a combination of the K-BKZ integral model with a fractional memory function which we denote the Fractional K-BKZ model. We discuss and illustrate the ability of these models to fit experimental data, and present numerical results for simple stress relaxation following step strain and steady shearing.

Original languageEnglish
Title of host publicationNovel Trends in Rheology VII
PublisherAmerican Institute of Physics Inc.
Volume1843
ISBN (Electronic)9780735415133
DOIs
Publication statusPublished - 2017
Event7th International Conference on Novel Trends in Rheology 2017 - Zlin, Czech Republic
Duration: 26 Jul 201727 Jul 2017

Conference

Conference7th International Conference on Novel Trends in Rheology 2017
CountryCzech Republic
CityZlin
Period26/07/1727/07/17

Keywords

  • NONLINEAR RHEOLOGY
  • RELAXATION
  • EQUATIONS
  • DERIVATIVES
  • CALCULUS
  • FLOW
  • MELT

Fingerprint

Dive into the research topics of 'A primer on experimental and computational rheology with fractional viscoelastic constitutive models'. Together they form a unique fingerprint.

Cite this