A primer on experimental and computational rheology with fractional viscoelastic constitutive models
Author(s)Ferrás, Luís Lima; Ford, Neville John; Morgado, Maria Luísa; Rebelo, Magda; Nóbrega, João Miguel; McKinley, Gareth H; ... Show more Show less
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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.
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering
AIP Conference Proceedings
Ferrás, Luís Lima, Neville John Ford, Maria Luísa Morgado, Magda Rebelo, Gareth Huw McKinley, and João Miguel Nóbrega. “A Primer on Experimental and Computational Rheology with Fractional Viscoelastic Constitutive Models” (2017). AIP Conference Proceedings 1843, 26-27 July, 2017, Zlín, Czech Republic, AIP Publishing, 2017. © 2017 Authors
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