Numerical determination of the permeability of fibre reinforcement for the RTM process

Revue Europeenne des Elements

Volumn 14, Issue 6-7, 2005, Pages 803-818

  Fournier, Richard ^a   Coupez, Thierry ^a   Vincent, Michel ^a  

^a PSL RESEARCH UNIVERSITY   (France)

Author keywords

Fibrous media; Finite element simulation; Permeability; RTM

Indexed keywords

MECHANICAL PERMEABILITY; REINFORCEMENT; RESIN TRANSFER MOLDING;

CHARACTERISTIC FUNCTIONS; ELEMENTARY CELLS; FIBRE REINFORCEMENTS; FIBROUS MEDIA; FINITE ELEMENT SIMULATIONS; MOULD FILLING; MULTI DOMAINS; WOVEN FABRICS;

FIBERS;

EID: 33845902158     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.3166/reef.14.803-818     Document Type: Article

References (36)

1. Adams KL, Russel WB, Rebenfeld L., "Radial penetration of a viscous fluid into a planar anisotropic porous medium", Int J Multiphase Flow, Vol. 14, No. 2, 1988, pp. 203-15.
2. Amico S., Lekakou C., "An experimental study of the permeability and capillary pressure in resin transfer moulding", Compos. Sci. Technol., Vol. 61, 2001, pp. 1945-59.
3. Batkam S, Bruchon. J., Coupez T., "A space time discontinuous Galerkin method for convection and diffusion in injection moulding", Int. J. Forming Processes, Vol. 7, No. 1-2, 2004, pp. 11-33.
4. Bigot E., Simulation tridimensionnelle du remplissage de corps minces par injection, Doctoral Thesis, Ecole Nationale Supérieure des Mines de Paris, France, 2002.
5. Boust F., Flavin E., Torres-Carrot R., "Modélisation de la perméabilité des renforts fibreux", Journée scientifique de l'ONERA: Procédé RTM et modélisation, 2002.
6. Bréard J., Saouab A., Bouquet G., "Mesure de la perméabilité spatiale d'un renfort tridimensionnel pour les matériaux composites à matrice polymère", Eur. Phys. J. AP., Vol. 1, 1998, pp. 269-278.
7. Brinkman H.C., "A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles", Appl. Sci. Res., Vol. A1, 1947, pp. 27-34.
8. Carman P. C., "Fluid flow through a granular bed", Trans. Inst. Chem. Eng. London, Vol. 15, 1938, pp. 120-156.
9. Chan A. W., Larive D. E., Morgan R. J., "Anisotropic permeability of fiber preforms: Constant flow rate measurement", J. Compos. Mat., Vol. 27, 1993, pp. 996-1008.
10. Choi M. A., Lee M. H., Chang J., Lee S. J., "Permeability modeling of fibrous media in composite processing", J. Non-Newt. Fluid Mech., Vol. 79, 1998, pp. 585-598.
11. Daniel I. M., Um M. K., Childs B. W., Kim D. H., "Permeability and resin flow measurements and simulations in composite preforms", 45th International SAMPE Symposium, May 21-25, 2000, pp. 761-775.
12. Darcy H., Les fontaines publiques de la ville de Dijon, Dalmont, Paris (1856).
13. Gauvin R., Trochu F., Lemenn Y., Diallo L., "Permeability measurement and flow simulation through fiber reinforcement", Polym. Compos., Vol. 17,1996, pp. 34-42.
14. Gebart B. R., "Permeability of unidirectional reinforcements for RTM", J. Compos. Mat., Vol. 26, 1992, pp. 1100-1133.
15. Gebart B. R., Analysis of heat transfer and fluid flow in the resin transfer moulding process, Doctoral Thesis, Luleä University of Technology, Sweden, 1992.
16. Hoareau C., Injection sur renfort: étude du remplissage de moule et détermination théorique de la perméabilité de tissus, Thèse de Doctorat, Ecole des Mines de Paris, 1994.
17. Hoareau C., Vincent M., "Calculation of fabric permeability and application to mold filling in resin transfer molding", Comptes rendus des 9e journées nationales sur les composites, Saint-Etienne, 22-24 novembre 1994, Amac, pp. 25-33.
18. Larson R.E., Higdon J.J.L., "Microscopic flow near the surface of two-dimensional porous media, Part 1, Axial flow", J. Fluid Mech., Vol. 166, 1986, pp. 449-472.
19. Larson R.E., Higdon J.J.L., "Microscopic flow near the surface of two-dimensional porous media, Part 2, Transverse flow", J. Fluid Mech., Vol. 178, 1987, pp. 119-136.
20. Lekakou C., Bader M. G., "Mathematical modelling of macro and micro infiltration in resin transfer moulding (RTM)", Composites Part A, Vol. 29A, 1998, pp. 29-37.
21. Lundstrom TS, Stenberg R, Bergstrom R, Partanen H, Birkeland PA., "In-plane permeability measurements: a nordic round-robin study", Composites A, Vol. 31, No. 1, 2000, pp. 29-43.
22. Martys N.S., Chen H., "Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method", Physical Review E, Vol. 53, No. 1, 1996, pp. 743-750.
23. Molnar J.A., Trevino L., Lee L.J., "Liquid Polym Compos, Vol. 10, No. 6, 1989, pp. 414-23.
24. Nedanov P. B., Advani S. G., "A Method to Determine 3D Permeability of Fibrous Reinforcements", Journal of Composite Materials, Vol. 36, No. 2, 2002a, pp. 241-254.
25. Nedanov P. B., Advani S. G., "Numerical computation of the fiber preform permeability tensor by the homogenization method", Polymer Composites, Vol. 23, 2002b, pp. 758-770.
26. Ngo N.D., Tamma K.K., "Microscale permeability predictions of porous fibrous media", Int. J. Heat Mass Transfer, Vol. 44, 2001, pp. 3135-3145.
27. Phelan F.R., "Modeling of microscale flow in fibrous porous media", in Advanced composite materials: new developments and applications, proceedings of the 7th annual ASM/ESD advanced composites conference, ASM International, Detroit, Sept. 30-Oct. 3, 1991, pp. 175-185.
28. Phelan F.R., Leung Y., Parnas R., "Modeling of microscale flow in unidirectional fibrous porous media", J. Thermoplastic Compos. Mater., Vol. 7, 1994, pp. 208-218.
29. Phelan Jr F. R., Wise G., "Analysis of transverse flow in aligned fibrous porous media", Composites Part A, Vol. 27A, 1996, pp. 25-34.
30. Pichelin E., Coupez T., "Finite element solution of the 3d mold filling problem for viscous incompressible fluid", Comput. Methods Appl. Mech. Engrg., Vol. 163, 1998, pp. 359-371.
31. Pitchumani R., Ramakrishnan B., "A fractal geometry model for evaluating permeabilities of porous preforms used in liquid composite molding", Int. J Heat Mass Transfer, Vol. 42, 1999, pp. 2219-2232.
32. Simacek P., Advani S.G., "Permeability model for a woven fabric", Polym. Compos., Vol. 17, No. 6, 1996, pp. 887-899.
33. Skartsis L., Khomani B., Kardos J.L., "Resin flow through fiber bed during composite manufacturing processes, Part II: numerical and experimental studies of Newtonian flow through ideal and actual fiber beds, Polym. Eng. Sci., Vol. 32, No. 4, 1992, pp. 231-239.
34. Spaid M.A.A., Phelan F.R., "Modeling void formation in fibrous porous media with lattice Boltzmann method", Composites Part A, Vol. 29A, 1998, pp. 749-755.
35. Takano N., Zako M., Okazaki T., Terada K., "Microstructure-based evaluation of the influence of woven architecture on permeability by asymptotic homogenization theory", Compos. Sci. Tech., Vol. 62, 2002, pp. 1347-1356.
36. Torres Carot R., Boust F., Poitou A., "The concept of permeability in the Resin Transfer moulding process: Darcy's law and multiple porosity", Proceedings of ESAFORM 2001, Liège (Belgium), April 23-25, 2001, pp. 167-170.