THEORETICAL AND NUMERICAL ANALYSES OF SHORT NATURAL FIBERS ORIENTATION IN THERMOPLASTIC MATRIX
Keywords:
short fiber, orientation, polymer, numerical simulation, Runge-Kutta method thermoplastic, Folgar, Tucker, Jeffery.DOI:
https://doi.org/10.17654/0975044423005Abstract
In this article, we presented a complete mathematical model based on Jeffery, Folgar-Tucker model and kinematics of fiber-orientation. Such a model helps to determine the orientation of the short fibers in the molding process, as well as the different physical parameters which influence the studied phenomenon. We are interested in the analysis of the orientation of short fibers in a thermoplastic matrix, through numerical simulation during injection molding of the composite polymer. The orientation of the fibers is usually determined by the coupling flow (fibers-thermoplastic matrix), the flow temperature, and the free movement region of the equation’s kinematic fibers for flow direction. The second-order orientation tensor defines the cinematic of a group of fibers. This analysis is supported by experiential findings.
Received: February 1, 2023
Revised: February 22, 2023
Accepted: March 23, 2023
References
G. B. Jeffery, The motion of ellipsoidal particles immersed in a viscous fluid, Proceedings of the Royal Society of London, Series A 102(715) (1922), 161-179.
G. G. Lipscomb, Analysis of suspension rheology in complex flows, Ph.D. dissertation, University of California, Berkeley, 1987.
M. Vincent, E. Devilers and J. F. Agassant, Fiber orientation in injection molding of reinforced thermoplastics, Journal of Non Newtonian Fluid Mechanics 73 (1997), 317-326.
F. Folgar and C. L. Tucker, Orientation behavior of fibers in concentrated suspensions, J. Reinf. Plast. Compos. 3 (1984), 98-119.
S. Prager, Stress-strain relation in a suspension of dumbbells, Trans. Soc. Rheol. 1 (1994), 53.
G. L. Hand, A theory of anisotropic fluids, J. Fluid Mech. 13 (1962), 33-46.
R. S. Bay, Fiber orientation in injection-molded composites: a comparison of theory and experiment, Ph. D. dissertation, University of Illinois at Urbana-Champagne, 1991.
C. Carrot and J. Guillet, Viscoélasticité non linéaire des polymères fondus, Traité Plastiques et Composites, 1999.
A. Chapman, Y. Saad and L. Wigton, High order ILU preconditioners for CFD problems, Rapport technique, AMSI, Minnesota Supercomputer Institute, 1996.
A. J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comp. 22 (1968), 745-762.
S. G. Advani and C. L. Tucker, A numerical simulation of short fiber orientation in compression molding, Polym. Compos. 11 (1990), 164-173.
M. C. Altan, S. Subbiah, S. I. Guceri and R. B. Pipes, Numerical prediction of three dimensional fiber orientation in Hele-Shaw flows, Po1ym. Eng. Sci. 30 (1990), 848-859.
I. Modhaffar, K. Gueraoui, H. El-Tourroug and S. Men-La-Yakhaf, Numerical study of short fiber orientation in simple injection molding processes, AIP Conf. Proc. 1653 (2015), 020071.
I. Modhaffar, K. Gueraoui, S. Men-La-Yakhaf, H. El-Tourroug, M. Taibi, M. Driouich, M. Sammouda and M. Belcadi, Simulation and prediction of the orientation of short fibers polypropylene injected into a matrix with the imaging technique (HFSP), to appear.
J. C. Halpin and J. L. Kardos, Strength of discontinuous reinforced composites: 1 fiber reinforced composites, Polym. Eng. Sci. 18 (1978), 496-500.
S. H. McGee, The influence of microstructure on the elastic properties of composite materials, Ph. D. Thesis, University of Delaware, Newark, 1982.
I. Modhaffar, K. Gueraoui, S. Men-La-Yakhaf and H. El-Tourroug, The effect of orientation of short fibers in the diluted suspension for thermoplastic, International Review of Mechanical Engineering (IREME) 10(1) (2016), 7-11.
A. Clarke, N. Davidson and G. Archenhold, Measurements of fibre direction in reinforced polymer composites, Journal of Microscopy 171(1) (1993), 69-79.
C. Eberhardt and A. R. Clarke, Fibre orientation measurements in short glass fiber composites: I automated high angular resolution measurement by confocal microscopy, Composite Sciences Technology 61 (2001), 1389-1400.
S. Men-La-Yakhaf, K. Gueraoui and M. Driouich, New numerical and mathematical code reactive mass transfer and heat storage facilities of argan waste, Advanced Studies in Theoretical Physics 8(10) (2014), 485-498.
H. El-Tourroug, K. Gueraoui, N. Hassanain, I. Modhaffar and S. Men-La-Yakhaf, Numerical and mathematical modeling of the injection for incompressible fluids through rigid cylindrical duct: application of melted polymers PPH, Appl. Math. Sci. 8(180) (2014), 8953-8964.
I. Modhaffar, K. Gueraoui, S. Men-La-Yakhaf and H. El-Tourroug, Simulation study for prediction of short fiber orientation reinforced thermoplastics, Materials Today: Proceedings 3 (2016), 2891-2897.
S. Men-La-Yakhaf, K. Gueraoui, A. Maaouni and M. Driouich, Numerical and mathematical modeling of reactive mass transfer and heat storage installations of argan waste, International Review of Mechanical Engineering (IREME) 8(1) (2014), 236-240.
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