Asymptotic expansion homogenization of permeability tensor for plain woven fabrics

Composites Part A: Applied Science and Manufacturing

Volumn 37, Issue 11, 2006, Pages 2080-2087

  Song, Y S ^a   Youn, J R ^a  

^a Seoul National University   (South Korea)

Author keywords

A. Fabrics; A. Glass fibres; B. Mechanical properties; E. Resin transfer moulding (RTM)

Indexed keywords

BRINKMAN EQUATIONS; CONTROL VOLUME FINITE ELEMENT METHOD (CVFEM); HOMOGENIZATION METHOD; PERMEABILITY TENSORS;

FINITE ELEMENT METHOD; GLASS FIBERS; MECHANICAL PERMEABILITY; NUMERICAL METHODS; RESIN TRANSFER MOLDING; TENSORS;

FABRICS;

FINITE ELEMENT ANALYSIS; GLASS FIBERS; MOLDING; PERMEABILITY; WOVEN FABRIC;

EID: 33749525989     PISSN: 1359835X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesa.2005.12.002     Document Type: Article

References (25)

1. Šimáček P., and Advani S.G. Permeability model for a woven fabric. Polym Compos 17 6 (1996) 887-899
2. Song Y.S., Chung K., Kang T.J., and Youn J.R. Prediction of permeability tensor for plain woven fabric by using control volume finite element method. Polym Polym Compos 11 6 (2003) 465-476
3. Cho Y.K., Song Y.S., Kang T.J., Chung K., and Youn J.R. Permeability measurement of a circular braided preform for resin transfer molding. Fibers Polym 4 3 (2003) 135-144
4. Sangani A.S., and Acrivos A. Slow flow through a periodic array of spheres. Int J Multiphase Flow 8 4 (1982) 343-360
5. Gebart B.R. Permeability of unidirectional reinforcements for RTM. J Compos Mater 26 8 (1992) 1100-1133
6. Skartsis L., Khomai B., and Kardos J.L. Resin flow through fiber beds during composite manufacturing processes. Part II: Numerical and experimental studies of Newtonian flow through ideal and actual fiber beds. Polym Eng Sci 32 4 (1992) 231-239
7. Cai Z., and Berdichevsky A.L. Estimation of the resin flow permeability of fiber tow preforms using the self-consistent method. Polym Compos 15 3 (1993) 240-246
8. Ranganathan S., Phelan Jr. F.R., and Advani S.G. A generalized model for the transverse fluid permeability in unidirectional fibrous media. Polym Compos 17 2 (1996) 222-230
9. Papathanasiou T.D., Gravel E.M., Barwick S.C., and Dendy E.D. Non-isotropic structured fibrous media: the permeability of arrays of fiber bundles of elliptical cross section. Polym Compos 23 4 (2002) 520-529
10. Yu B., and Lee J. A simplified in-plane permeability model for textile fabrics. Polym Compos 21 5 (2000) 660-685
11. Ngo N.D., and Tamma K.K. Microscale permeability predictions of porous fibrous media. Int J Heat Mass Transfer 44 (2001) 3135-3145
12. Song Y.S., Chung K., Kang T.J., and Youn J.R. Prediction of permeability tensor for three dimensional circular braided preform by applying a finite volume method to a unit cell. Compos Sci Technol 64 (2004) 1629-1636
13. Song Y.S., Chung K., Kang T.J., and Youn J.R. Numerical prediction of permeability tensor for three dimensional circular braided preform by considering intra-tow flow. Polym Polym Compos 13 4 (2005) 323-334
14. Grujicic M., Chittajallu K.M., and Walsh S. Effect of shear, compaction and nesting on permeability of the orthogonal plain-weave fabric preforms. Mater Chem Phys 86 (2004) 358-369
15. Amaziane B., Hontans T., and Koebbe J.V. Equivalent permeability and simulation of two-phase flow in heterogeneous porous media. Comput Geosci 5 (2001) 279-300
16. Zijl W., and Trykozko A. Numerical homogenization of the absolute permeability using conformal-nodal and mixed-hybrid finite element method. Transport Porous Media 44 (2001) 33-62
17. Trykozko A., Zijl W., and Bossavit A. Nodal and mixed finite elements for the numerical homogenization of 3D permeability. Comput Geosci 5 (2001) 61-84
18. Nedanov P.B., and Advani S.G. Numerical computation of the fiber preform permeability tensor by the homogenization method. Polym Compos 23 5 (2002) 758-770
19. Takano N., Zako M., Okazaki T., and Terada K. Microstructure-based evaluation of the influence of woven architecture on permeability by asymptotic homogenization theory. Compos Sci Technol 62 (2002) 1347-1356
20. Chen Z., Lin Y., and Liu H. Effective permeabilities of multiplayer fabric preforms in liquid composite moulding. Compos Struct 66 (2004) 351-357
21. Hornung U. Homogenization and porous media (1997), Springer-Verlag New York Inc., New York
22. Beavers G.S., and Joseph D.D. Boundary conditions at a naturally permeable wall. J Fluid Mech 30 (1967) 197-207
23. Saffman P.G. On the boundary condition at the surface of a porous medium. Stud Appl Math 50 (1971) 93-101
24. Prakash C., and Patankar S.V. A control volume-based finite-element method for solving the Navier-Stokes equations using equal-order velocity-pressure interpolation. Numer Heat Transfer 8 (1986) 280-295
25. Minkowycz W.J., Sparrow E.M., Schneider G.E., and Pletcher R.H. Handbook of numerical heat transfer (1988), John Wiley & Sons Inc., New York