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TitleA primer on experimental and computational rheology with fractional viscoelastic constitutive models
Author(s)Ferrás, Luís Jorge Lima
Ford, Neville John
Morgado, Maria Luisa
Rebelo, Magda
McKinley, Gareth Huw
Nóbrega, J. M.
Issue date2017
PublisherAmerican Institute of Physics
JournalAIP Conference Proceedings
Abstract(s)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.
TypeConference paper
AccessRestricted access (Author)
Appears in Collections:IPC - Resumos alargados em actas de encontros científicos internacionais com arbitragem

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