Efficient bead-chain model for predicting fiber motion during molding of fiber-reinforced thermoplastics

•An improved model for direct simulation of fibers in viscous flow is developed.•Fiber motions in simple shear flow are compared between the proposed and conventional model.•Fiber motions in injection molding are also simulated.•The improved model well reproduces the results of the conventional one....

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Bibliographic Details
Published in:Journal of non-Newtonian fluid mechanics 2019-02, Vol.264, p.135-143
Main Authors: Sasayama, Toshiki, Inagaki, Masahide
Format: Article
Language:English
Subjects:
Bead-chain model
Chains
Computational efficiency
Computer simulation
Computing time
Direct simulation
Equations of motion
Fiber modeling
Fiber orientation
Fiber reinforced polymers
Fiber-reinforced plastics
Fibers
Injection molding
Shear flow
Thermoplastic resins
Viscous flow
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Summary:•An improved model for direct simulation of fibers in viscous flow is developed.•Fiber motions in simple shear flow are compared between the proposed and conventional model.•Fiber motions in injection molding are also simulated.•The improved model well reproduces the results of the conventional one.•The model also provides higher computational efficiency than the conventional one. This paper proposes an efficient model for simulating fiber motion in viscous flow, especially during molding of fiber-reinforced thermoplastics. To increase the computational efficiency, the proposed model discretizes fibers as chains of fewer spheres than in the bead-chain model previously proposed by the authors, which is called the Simplified Bead-Chain Model (SBCM). In addition, in order to make the proposed model reproduce the results of the SBCM, correction factors applied to forces exerted on each sphere are newly derived so that the equation of motion of a fiber for the proposed model can be equivalent to that of the conventional model. Simulations of rigid and flexible fibers in simple shear flow are first performed to compare the fiber motions between the two models. The proposed model reproduces the results of the SBCM closely for cases of both a single fiber and suspensions containing multiple fibers. Finally, fiber orientation behavior during injection molding in a simple-shaped plaque is simulated. The results obtained with the proposed model shows good agreement with those of the SBCM but at lower computational cost.
ISSN:0377-0257
1873-2631
DOI:10.1016/j.jnnfm.2018.10.008