Direct simulation for concentrated fibre suspensions in transient and steady state shear flows |
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| Institution: | 1. LG2M, Université de Bretagne-Sud, Rue de St-Maudé, BP 92116, 56321 Lorient Cedex, France;2. Department of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia;1. Dpto. Matemática Aplicada I, Universidad de Sevilla, EUITA, Ctra. de Utrera Km. 1, 41013 Sevilla, Spain;2. Dpto. Matemática Aplicada II, Escuela Técnica Superior de Ingenieros, Camino de los Descubrimientos, s/n, 41092 Sevilla, Spain;1. Centro de Investigación en Matemáticas (CIMAT), Apdo. Postal 402, 36000 Guanajuato, Gto., Mexico;2. Departamento de Matemáticas, Universidad de Guanajuato, CP 36240, Guanajuato, Gto., Mexico;1. Karlsruhe Institute of Technology, Institute for Applied Materials, Karlsruhe, Germany;2. Karlsruhe Institute of Technology, Institute of Engineering Mechanics, Karlsruhe, Germany;1. Leibniz-Institute of Atmospheric Physics, Kühlungsborn, Germany;2. Deutsches Zentrum für Luft- und Raumfahrt, Institut für Physik der Atmosphäre, Oberpfaffenhofen, Germany;3. Meteorologisches Institut München, Ludwig-Maximilians-Universität München, Munich, Germany |
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| Abstract: | A numerical method to simulate fibre suspensions in transient and steady state shear flows for concentrated solutions is reported, which takes into account short-range hydrodynamic interaction via lubrication forces, contact forces and hydrodynamic forces. Fibres are assumed to have varying lengths as observed in industrial composites and this can be described with a fibre distribution length function. Stresses in the composite have been calculated from a constitutive equation or from an approximate expression for the effective stress of fibre suspensions. This simulation will assist in modelling of short fibre filled industrial composites. Our first results shown here qualitatively agree with experiments. |
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