A Primer on Experimental and Computational Rheology with Fractional Viscoelastic Constitutive Models

• Type: Article in International Conference Proceedings Book
• Date: 2017

Authors

Ferras, LL (Author) Other; Ford, NJ (Author) Other; Morgado, ML (Author) Other; Rebelo, M (Author) Other; McKinley, GH (Author) Other; Nobrega, JM (Author) Other

Conference proceedings International

Title: NOVEL TRENDS IN RHEOLOGY VII

Conference on Novel Trends in Rheology VII

Tomas Bata Univ Zlin, Zlin, CZECH REPUBLIC, JUL 26-27, 2017

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 11 Citations

Other information

Authenticus ID: P-00M-V29

DOI: 10.1063/1.4982977

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13