In this paper, the effect of layer shifting on out-of-permeability of 0°/45° alternating multilayer fabrics was studied. Three mathematical models with three extreme structures were developed to predict the out-of-plane permeability, respectively. By segmenting the unit cell into several different zones according to characteristic yarn arrangement, the global permeability was modeled by using a rule of mixture of local permeability. The influences of local permeability of each zone on the global value of unit cell were carefully researched. In addition, experimental measurements of the permeability were carried out to validate the analytical models. And the differences of the results of three extreme structures with respect to fiber volume fraction were also investigated.
EndruweitAHarperLTTurnerTA. Random discontinuous carbon fiber preforms: Experimental permeability characterization and local modeling. Polym Compos2009; 31: 569–580.
2.
SimacekPHeiderDGillespieJW. Post-filling flow in vacuum assisted resin transfer molding processes: theoretical analysis. Compos Part A Appl Sci Manuf2009; 40: 913–924.
3.
HeiderDSimacekPDominauskasA. Infusion design methodology for thick-section, low-permeability preforms using inter-laminar flow media. Compos Part A Appl Sci Manuf2007; 38: 525–534.
4.
KuppusamyRRPShindeVMNeogiS. Measurement of effective permeability of reinforcement mats using sensitivity analysis. Polym Compos2012; 33: 1445–1454.
5.
TurnerDZHjelmstadKD. Determining the 3D permeability of fibrous media using the Newton method. Compos Part B Eng2005; 36: 609–618.
6.
ZhouFKuentzerNSimacekP. Analytic characterization of the permeability of dual-scale fibrous porous media. Compos Sci Technol2006; 66: 2795–2803.
7.
KuentzerNSimacekPAdvaniSG. Permeability characterization of dual scale fibrous porous media. Compos Part A Appl Sci Manuf2006; 37: 2057–2068.
MekicSAkhatovISUlvenCA. Analysis of a radial infusion model for in-plane permeability measurements of fiber reinforcement in composite materials. Polym Compos2009; 30: 1788–1799.
10.
RanganathanSPhelanFRAdvaniSG. A generalized model for the transverse fluid permeability in unidirectional fibrous media. Polym Compos2004; 17: 222–230.
11.
PapathanasiouTD. On the effective permeability of square arrays of permeable fiber tows. Int J Multiphase Flow1997; 23: 81–92.
12.
MarkicevicBPapathanasiouTD. An explicit physics-based model for the transverse permeability of multi-material dual porosity fibrous media. Transport Porous Media2003; 53: 265–280.
13.
HellouMMartinezJYazidiME. Stokes flow through microstructural model of fibrous media. Mech Res Commun2004; 31: 97–103.
14.
DemaríaCRuizETrochuF. In-plane anisotropic permeability characterization of deformed woven fabrics by unidirectional injection. Part II: prediction model and numerical simulations. Polym Compos2007; 28: 812–827.
15.
Hoes K, Dinesku D, Vanhuele M, et al. Statistical distribution of permeability values of different porous materials. In: Proceedings of the 10th European conference on composite materials, Brugge, Belgium, 3–7 June 2002.
16.
DunganFDSenoguzMTSastryAM. Simulations and experiments on low-pressure permeation of fabrics: Part I – 3D modeling of unbalanced fabric. J Compos Mater2001; 35: 1250–1284.
17.
SenoguzMTDunganFDSastryAM. Simulations and experiments on low-pressure permeation of fabrics: Part II – the variable gap model and prediction of permeability. J Compos Mater2001; 35: 1285–1322.
18.
HoesKDinescuDSolH. Study of nesting induced scatter of permeability values in layered reinforcement fabrics. Compos Part A Appl Sci Manuf2004; 35: 1407–1418.
19.
EndruweitAMcgregorPLongAC. Influence of the fabric architecture on the variations in experimentally determined in-plane permeability values. Compos Sci Technol2006; 66: 1778–1792.
20.
EndruweitALongAC. A model for the in-plane permeability of triaxially braided reinforcements. Compos Part A Appl Sci Manuf2011; 42: 165–172.
21.
GrujicicMChittajalluKMWalshS. Effect of shear, compaction and nesting on permeability of the orthogonal plain-weave fabric preforms. Mater Chem Phys2004; 86: 358–369.
22.
GrujicicMChittajalluKMWalshS. Lattice Boltzmann method based computation of the permeability of the orthogonal plain-weave fabric preforms. J Mater Sci2006; 41: 7989–8000.
23.
LekakouCEdwardsSBellG. Computer modelling for the prediction of the in-plane permeability of non-crimp stitch bonded fabrics. Compos Part A Appl Sci Manuf2006; 37: 820–825.
24.
TranTComas-CardonaSAbriakNE. Unified microporomechanical approach for mechanical behavior and permeability of misaligned unidirectional fiber reinforcement. Compos Sci Technol2010; 70: 1410–1418.
25.
SongYSHeiderDYounJR. Statistical characteristics of out-of-plane permeability for plain-woven structure. Polym Compos2009; 30: 1465–1472.
26.
FangLJiangJWangJ. Effect of nesting on the out-of-plane permeability of unidirectional fabrics in resin transfer molding. Appl Compos Mater2015; 22: 231–249.
27.
Fang L, Jiang J, Wang J, et al. (eds) Effect of layer shifting on the out-of-plane permeability of 0 /45 alternative multilayer fabrics. In: International conference on electromechanical control technology and transportation. Zhuhai City, China, 31 October–1 November 2015, pp.557–561.
28.
ChenBChouTW. Compaction of woven-fabric preforms: nesting and multi-layer deformation. Compos Sci Technol2000; 60: 2223–2231.
29.
GebartBR. Permeability of unidirectional reinforcements for RTM. J Compos Mater1992; 26: 1100–1133.
