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A New Class of Models to Describe the Response of Electrorheological and Other Field Dependent Fluids

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Generalized Models and Non-classical Approaches in Complex Materials 1

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 89))

Abstract

We propose a new class of models for electrorheological fluids. While the standard constitutive relations for electrorheological fluids are based on the assumption that the stress is a function of the symmetric part of the velocity gradient and the intensity of the electric field, we formulate constitutive relations in an implicit way. The stress, the symmetric part of the velocity gradient and the intensity of the electric field are linked via a tensorial implicit equation. The potential benefit of the new class of models is investigated by the analysis of a simple shear flow in a transverse electric field.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Sokolovská 83, CZ 186 75, Praha 8 – Karlín, Czech Republic

    Vít Průša

  2. Department of Mechanical Engineering, Texas A&M University, 3123 TAMU, College Station, TX, 77843-3123, USA

    Kumbakonam R. Rajagopal

Authors
  1. Vít Průša
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  2. Kumbakonam R. Rajagopal
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Correspondence to Vít Průša .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität, Magdeburg, Germany

    Holm Altenbach

  2. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

    Joël Pouget

  3. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

    Martine Rousseau

  4. Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, Paris Cedex 05, France

    Bernard Collet

  5. Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie, Paris, France

    Thomas Michelitsch

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Průša, V., Rajagopal, K.R. (2018). A New Class of Models to Describe the Response of Electrorheological and Other Field Dependent Fluids. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-72440-9_35

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  • DOI: https://doi.org/10.1007/978-3-319-72440-9_35

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  • Online ISBN: 978-3-319-72440-9

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