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Unified mean-field modeling of viscous short-fiber suspensions and solid short-fiber reinforced composites

Karl, Tobias ORCID iD icon 1,2; Böhlke, Thomas ORCID iD icon 1
1 Institut für Technische Mechanik (ITM), Karlsruher Institut für Technologie (KIT)
2 Institut für Strömungsmechanik (ISTM), Karlsruher Institut für Technologie (KIT)

Abstract:

Mean-field homogenization is an established and computationally efficient method estimating the effective linear elastic behavior of composites. In view of short-fiber reinforced materials, it is important to homogenize consistently during process simulation. This paper aims to comprehensively reflect and expand the basics of mean-field homogenization of anisotropic linear viscous properties and to show the parallelism to the anisotropic linear elastic properties. In particular, the Hill–Mandel condition, which is generally independent of a specific material behavior, is revisited in the context of boundary conditions for viscous suspensions. This study is limited to isothermal conditions, linear viscous and incompressible fiber suspensions and to linear elastic solid composites, both of which consisting of isotropic phases with phase-wise constant properties. In the context of homogenization of viscous properties, the fibers are considered as rigid bodies. Based on a chosen fiber orientation state, different mean-field models are compared with each other, all of which are formulated with respect to orientation averaging. Within a consistent mean-field modeling for both fluid suspensions and solid composites, all considered methods can be recommended to be applied for fiber volume fractions up to 10%. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000151913
Veröffentlicht am 26.10.2022
Originalveröffentlichung
DOI: 10.1007/s00419-022-02257-4
Scopus
Zitationen: 7
Web of Science
Zitationen: 7
Dimensions
Zitationen: 7
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Strömungsmechanik (ISTM)
Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2022
Sprache Englisch
Identifikator ISSN: 0939-1533, 0020-1154, 1432-0681
KITopen-ID: 1000151913
Erschienen in Archive of Applied Mechanics
Verlag Springer
Band 92
Heft 12
Seiten 3695-3727
Vorab online veröffentlicht am 22.09.2022
Schlagwörter Fiber reinforced composites, Fiber suspensions, Short fibers, Mean-field modeling, Micromechanics, Effective anisotroy
Nachgewiesen in Dimensions
Web of Science
Scopus
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