Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors

Flow processes of discontinuous fiber reinforced polymers (FRPs) are the essence of several polymer-based manufacturing processes. FRPs show a transient chemo-thermomechanical matrix behavior and fiber-induced anisotropic physical properties. Therefore, they are one of the most complex materials use...

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Main Authors: Florian Wittemann, Luise Kärger, Frank Henning
Format: Article
Language:English
Published: Elsevier 2021-07-01
Series:Composites Part C: Open Access
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666682021000475
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author Florian Wittemann
Luise Kärger
Frank Henning
author_facet Florian Wittemann
Luise Kärger
Frank Henning
author_sort Florian Wittemann
collection DOAJ
description Flow processes of discontinuous fiber reinforced polymers (FRPs) are the essence of several polymer-based manufacturing processes. FRPs show a transient chemo-thermomechanical matrix behavior and fiber-induced anisotropic physical properties. Therefore, they are one of the most complex materials used in volume production. The general flow behavior is influenced by fibers and their interactions with the matrix and other fibers. The consideration of individual fibers is numerically not capable for process simulation of FRP parts. Therefore, orientation tensors are used in macroscopic simulations, leading to a loss of information about the fiber network. Within this work, novel approximation schemes are presented to determine hydrodynamic and fiber-fiber contact forces with information provided by the second order fiber orientation tensor. Approximation of these forces can henceforth facilitate fiber breakage modeling in macroscopic process simulations. The results are verified by numerical simulations with individual fibers of different orientation states and lengths, showing good agreement with the verification results.
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spelling doaj.art-b8cb46f8a28847cd9cd7e7e2d121494f2022-12-21T20:26:24ZengElsevierComposites Part C: Open Access2666-68202021-07-015100152Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensorsFlorian Wittemann0Luise Kärger1Frank Henning2Karlsruhe Institute of Technology (KIT), Institute of Vehicle System Technology, Lightweight Technology, Rintheimer Querallee 2, 76131, Karlsruhe, Germany; Corresponding author: FAST-LT, Building 70.04, Room 113, Rintheimer Querallee 2, 76131 Karlsruhe Germany.Karlsruhe Institute of Technology (KIT), Institute of Vehicle System Technology, Lightweight Technology, Rintheimer Querallee 2, 76131, Karlsruhe, GermanyKarlsruhe Institute of Technology (KIT), Institute of Vehicle System Technology, Lightweight Technology, Rintheimer Querallee 2, 76131, Karlsruhe, Germany; Fraunhofer Institute for Chemical Technology (ICT), Joseph-von-Fraunhofer-Straße 7, 76327 Pfinztal, GermanyFlow processes of discontinuous fiber reinforced polymers (FRPs) are the essence of several polymer-based manufacturing processes. FRPs show a transient chemo-thermomechanical matrix behavior and fiber-induced anisotropic physical properties. Therefore, they are one of the most complex materials used in volume production. The general flow behavior is influenced by fibers and their interactions with the matrix and other fibers. The consideration of individual fibers is numerically not capable for process simulation of FRP parts. Therefore, orientation tensors are used in macroscopic simulations, leading to a loss of information about the fiber network. Within this work, novel approximation schemes are presented to determine hydrodynamic and fiber-fiber contact forces with information provided by the second order fiber orientation tensor. Approximation of these forces can henceforth facilitate fiber breakage modeling in macroscopic process simulations. The results are verified by numerical simulations with individual fibers of different orientation states and lengths, showing good agreement with the verification results.http://www.sciencedirect.com/science/article/pii/S2666682021000475Discontinuous fiber reinforced polymersInjection molding simulationFiber-fiber interactionsHydrodynamic forces
spellingShingle Florian Wittemann
Luise Kärger
Frank Henning
Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors
Composites Part C: Open Access
Discontinuous fiber reinforced polymers
Injection molding simulation
Fiber-fiber interactions
Hydrodynamic forces
title Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors
title_full Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors
title_fullStr Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors
title_full_unstemmed Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors
title_short Theoretical approximation of hydrodynamic and fiber-fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors
title_sort theoretical approximation of hydrodynamic and fiber fiber interaction forces for macroscopic simulations of polymer flow process with fiber orientation tensors
topic Discontinuous fiber reinforced polymers
Injection molding simulation
Fiber-fiber interactions
Hydrodynamic forces
url http://www.sciencedirect.com/science/article/pii/S2666682021000475
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