A simplified in‐plane permeability model for textile fabrics

In this paper, a simplified in‐plane permeability model for textile fabrics is developed. The model is based on a rectangular unit cell geometry, the one‐dimensional Stokes equation for flow in the channels or gaps between fiber tows, and the one‐dimensional Brinkman equation for flow in fiber tows. Three different textile fabrics are considered in the model: plain woven, 4‐harness, and bidirectional stitched fiberglass mats. The model incorporates the effect of porosity changes on permeability of fiber preforms under compression, which usually occurs in the molding process. To verify the validity of the model, the theoretical values are compared with a set of permeability measurements. Good agreement is found between the model prediction and the permeability measurements in the porosity ranges of ϕ ≤ 0.59 for plain woven fiber mats, ϕ ≤ 0.60 for 4‐harness fiber mats and ϕ ≤ 0.62 for bidirectional stitched fiber mats.     

A gas flow method for determination of in‐plane permeability of fiber preforms

Resin flow plays a crucial role in many composite manufacturing processes. The most important parameters used in modeling and designing mold filling are the permeability of the fibrous preform, which is a kind of flow conductance and a property of the reinforcement, and the viscosity of the resin. The extent reaction, or degree of cure, is also important and causes change of chemical during mold filling. To determine the permeability of fiber preform searchers have been using liquid flow analysis. In this study, a new scheme for determining permeability using gas flow is proposed. In conventional liquid flow methods, radial propagation of the polymer into a porous medium is measured and used to determine permeability, whereas in the gas flow method, the several different preform geometries is measured and used. The effectiveness of the gas flow method was verified by comparing it with conventional methods.     

Determination of in‐plane permeability of fiber preforms by the gas flow method using pressure measurements

A method is described for measuring the in‐plane permeability of orthotropic fibrous preforms using gas flow. The method is based on an optimization process between computed and measured pressures at various locations in the mold during steady state gas flow through the enclosed preform. The computed pressure is obtained by the control volume finite element method (CVFEM). This method was demonstrated by using a specially designed mold with multiple ports for gas injection and pressure measurement and it was shown that it can be implemented easily and yields consistent and reliable results.     

A fractal in‐plane permeability model for fabrics

In this paper, a fractal in‐plane permeability model for various fabrics is developed. The model is based on the fractal characteristics of pores in fiber preforms. Four different glass fabrics are considered in the modeling: plain woven, 4‐harness, bidirectional stitched, and continuous strand random mats. The fractal in‐plane permeability model can be expressed as a function of the pore area fractal dimension and architectural parameters of the fiber preform. This model also relates the permeability to porosity changes of fiber preforms under compression, which usually occurs in the molding processes. To verify the applicability of the model, the results from the present fractal model are compared with those from the one‐dimensional analysis model and with a set of permeability measurements. Good agreement is found between the two models and the permeability measurements in the general porosity ranges of interest.     

Effect of deformation on knitted glass preform in‐plane permeability

The excellent processing properties of knitted preforms for composite applications, as formability and permeability, are not sufficient to compensate the poor mechanical characteristics of the resulting material. Initial preform deformation is a way to improve these properties, but it modifies the permeability and changes the optimal infiltration conditions. This article presents an experimental setup and discusses the reliability of the permeability measurements. Experimental results show that the course‐wise permeability is significantly modified by the deformation of the fabric, whereas the wale‐wise permeability is quite insensitive to the deformation. In an equivalent isotropic system, the deformation essentially influences the anisotropy ratio. POLYM. COMPOS., 32:18–28, 2011. © 2010 Society of Plastics Engineers     

In‐plane compression of constrained preforms

Preforms constructed from a plain‐weave, glass fabric were compressed in‐plane within a fixture that mimicked the constraints of a closed mold. Typically, a gap was left between the bottom of the preform and the floor of the fixture; upon Initial compression, the preform slid within the fixture, which allowed the friction between the preform and the fixture wall to be measured. The preform began to compress as it contacted the floor of the fixture. The deformation was proportional to the applied stress until a critical stress was reached. Above this stress, the preform sustained damage in the form if localized buckling and a corresponding decrease in mechanical integrity. The in‐plane compressive behavior varied with system parameters, such as preform geometry, fabric orientation, and clamping stress and was shown to be strongly dependent on friction of the preform against the fixture wall. A model was developed to describe the contribution of preform friction with the fixture wall to the in‐plane compressive behavior of constrained preforms.     

The effect of nesting on the in‐plane permeability of unidirectional fabrics in resin transfer molding

The nesting of layers has great effect on the permeability, which is a key parameter in resin transfer molding. In this article, two mathematical models were developed to predict the in‐plane permeability of unidirectional fabrics with minimum and maximum nesting, respectively. For different zones of characteristic yarn arrangement in the unit cell, the local permeability was modeled as a function of geometrical yarn parameters. The global permeability was then modeled as a mixture of permeabilities of different zones with the electrical resistance analogy. A reasonably good agreement was found between the model predictions and experimental results. We also found that at the same fiber volume fraction, the results for Ky were two times larger with minimum nesting than with maximum nesting, whereas the results for Kx were a little lower with minimum nesting than maximum nesting. In addition, the differences between minimum and maximum nesting decreased with increasing fiber volume fraction. POLYM. COMPOS., 37:1695–1704, 2016. © 2014 Society of Plastics Engineers     

Statistical characteristics of out‐of‐plane permeability for plain‐woven structure

Since out‐of‐plane permeability of fiber preforms is a function of the number and arrangement of stacked layers, either many layers of preforms or numerous experiments are required to obtain an exact out‐of‐plane permeability experimentally. The reason is that there exist nesting and phase shifting when the preforms are laid up. From a statistical viewpoint, the effect of the number of preform layers on the out‐of‐plane permeability was analyzed by adopting an analytical model proposed in this study. Numerical simulation for a unit‐cell constructed based on geometry of the preform was carried out to validate the analytical model as well as experimental measurements of the permeability. POLYM. COMPOS., 2009. © 2008 Society of Plastics Engineers     

A model for the transverse permeability of bi‐material layered fibrous preforms

We consider viscous flow across unidirectional hexagonal arrays of porous tows of elliptical cross section. Using the lubrication approximation we develop an analytical model for the hydraulic permeability of layered systems, in which the permeability of the porous tows making up each alternating layer is allowed to differ. Extensive validation of this model is carried out through numerical computations using the Computational Fluid Dynamics package FIDAP. Good agreement between model predictions and numerically calculated permeabilities is found in the interesting region of small porosity (ϕ = 0.20 or ϕ = 0.30). Using this model we also address the issue of the inaccuracies that may be introduced if the overall permeability of a fibrous preform is calculated using an arithmetic average permeability instead of the actual permeability of each layer. We find that use of an average permeability will result in overestimation of the overall permeability of the system. This overestimation will increase as the porosity is reduced and/or as the difference in permeabilities increases.     

A prediction method on in‐plane permeability of mat/roving fibers laminates in vacuum assisted resin transfer molding

Vacuum assisted resin transfer molding (VARTM) is one of the promising manufacturing techniques for large‐scaled composite components with complex geometry, such as yachts or fishing vessels. To reduce the failure risk of production, numerical simulation of resin infusion process before manufacture is helpful. In general, basic characteristics of perform, such as permeability, need to be measured by experiments in practice. However, this experimental approach sometimes may be costly because specific types of fibers as well as preform with different layer numbers need individual experiments. This study first introduces the experimental procedure of measuring the permeability of reinforcements via Darcy's Law. On the basis of experimental observation of permeability of different layer order, we assumed that the change of the permeability in different experiments is mainly affected by the space provided by the fiber. Accordingly, an efficient prediction method based on the idea of “total porous space of the reinforcement” is proposed. It is shown that this method can give reference between prediction and experiments of the mat/roving fiber preform. Though the resin flowing is complex, this prediction gives a simple, macroscopic reference way for the injection characteristic of large‐sized ships, and consequently facilitates the numerical design work of composite structures manufactured by VARTM technique. POLYM. COMPOS., 27:665–670, 2006. © 2006 Society of Plastics Engineers     

Influence of molecular orientation direction on the in‐plane thermal conductivity of polymer/hexagonal boron nitride composites

The effect of the molecular orientation direction of a polymer matrix on the in‐plane thermal conductivity (TC) of injection‐molded polymer/hexagonal boron nitride (h‐BN) composites is investigated. In this system, the h‐BN platelets align in the in‐plane direction owing to injection shear flow. Three molecular orientations (perpendicular, random, and parallel to the h‐BN plane) are achieved using liquid crystalline polyesters and the in‐plane TCs are compared. Although a parallel orientation of the polymer chains provides the highest TC of the matrix in the injection direction, the TC of the composites is the lowest of the three systems for this orientation. The highest in‐plane TC is found in the perpendicularly oriented system, irrespective of the in‐plane direction. These results reveal that perpendicularly oriented molecular chains serve as effective heat paths between h‐BN platelets that are arranged one above the other, and consequently, a continuous thermal network is created in the in‐plane direction. © 2013 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2014 , 131, 39768.     

Zwitterionic sulfobetaine‐modified non‐woven fabric for blood filtration

Blood filtration requires a high removal ratio of leukocytes and with simultaneous high recovery ratio of platelets and other beneficial components. Problems are often encountered with blood filter materials in terms of high platelet loss. Zwitterions such as phosphorylcholine, sulfobetaine and carboxybetaine show effective resistance against protein adsorption and platelet adhesion. The study reported was aimed at achieving surface modification of poly(butylene terephthalate) non‐woven fabric (PBTNF) using UV radiation‐induced graft copolymerization of a zwitterionic sulfobetaine, N‐(3‐sulfopropyl)‐N‐methacroyloxyethyl‐N,N‐dimethylammonium betaine (SMDB), in order to improve the wettability and platelet recovery ratio of the PBTNF. Attenuated total reflection Fourier transform infrared and X‐ray photoelectron spectroscopy results showed that SMDB was successfully grafted onto the PBTNF. Photoinitiator concentration, monomer concentration and UV irradiation time affected markedly the degree of grafting. Critical wetting surface tension, water wetting time and hemolysis tests showed an improvement in wettability and blood compatibility as a result of graft copolymerization of SMDB. A blood filter material composed of SMDB‐modified PBTNF reduced platelet adhesion and had higher platelet recovery compared to poly(acrylic acid)‐modified PBTNF. It was found that SMDB monomer was successfully grafted onto PBTNF using UV radiation. The degree of grafting of SMDB could be controlled by varying the photoinitiator concentration, monomer concentration and UV irradiation time. SMDB‐modified PBTNF showed significant improvement in wettability and blood compatibility. The zwitterionic structure of SMDB is resistant to platelet adhesion. The SMDB‐modified PBTNF could be a candidate for a blood filter material and in other medical applications. Copyright © 2010 Society of Chemical Industry     

Influence of carboxyl and amide groups on in vitro hemocompatibility of sulfonated polypropylene non‐woven fabric

The sulfonated polypropylene non‐woven fabric (PP_NWF) was successfully fabricated via γ‐ray simultaneous radiation‐induced graft polymerization of acrylic acid (AA)/sodium styrenesulfonate (NaSS) and acrylamide (AAm)/NaSS. The existence of graft chains in both PP‐g‐P(AA‐co‐NaSS) and PP‐g‐P(AAm‐co‐NaSS) was proved by attenuated total reflection Fourier transform infrared spectroscopy and X‐ray photoelectron spectroscopy. Water contact angle measurement illustrated the sulfonated PP_NWF owning good hydrophilicity. The in vitro hemocompatibility evaluation showed that both PP‐g‐P(AA‐co‐NaSS) and PP‐g‐P(AAm‐co‐NaSS) inhibited effectively the adhesion of platelets and were significantly compatible with erythrocytes. Moreover, no obvious difference was confirmed in the prevention of platelet adhesion and hemolysis ratio between carboxyl and amide groups. However, as compared with that of PP‐g‐P(AAm‐co‐NaSS), PP‐g‐P(AA‐co‐NaSS) exhibited outstanding anticoagulant activity via increased activated partial thromboplastin time and thrombin time. This result indicated that the carboxyl group but not amide group featured strong synergistic effect on the anticoagulant activity of sulfonated PP_NWF. © 2017 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2018 , 135, 45915.     

Measuring and predicting in‐plane thermal conductivity of carbon‐filled nylon 6,6 polymer composites

In this study, two different carbons (synthetic graphite particles and carbon fiber) were added to nylon 6,6, and the resulting composites were tested for both the through‐plane thermal conductivity k_thru and the in‐plane thermal conductivity k_in, using the transient plane source method. The first goal of this work was to use a finite element model to develop a procedure to accurately measure the material properties using this relatively new analytical procedure. Reproducible data can be obtained for nylon 6,6 polymer composites, by choosing a power dissipation (an input parameter to the transient plane source method) corresponding to a sensor temperature increase of 2 K above the initial temperature after 5 s. The second goal of this work was to develop a simple empirical model for the in‐plane thermal conductivity, which is easily measured with the transient plane source method. The results show that the product of the through‐plane and in‐plane thermal conductivities is a linear function of the volume percent ϕ. As the through‐plane thermal conductivity of these composites is accurately predicted with a modified Nielsen model, this empirical relationship can be used to estimate in‐plane thermal conductivities for a range of applications. POLYM. COMPOS. 27:1–7, 2006. © 2005 Society of Plastics Engineers     

Influence of thermo‐oxidative aging on vibration damping characteristics of conventional and graphene‐based carbon fiber fabric composites

The effect of thermo‐oxidative aging on the vibration damping characteristics of the conventional fabric composites reinforced by three‐dimensional (3D) and four‐directional (4Dir) braided preform and laminated plain woven fabric and the 3D‐4Dir braided graphene‐based carbon fiber composites was investigated. Specimens were isothermally aged at 140 °C for various periods of time up to 1,200 h. The results indicated that the thermo‐oxidative aging resulted in deterioration of the matrix and interface performance, in the form of chain scissions, weight loss, microcracks and interfacial debonding, which should be responsible for the decrease of nature frequency and the increase of damping coefficient of the composites. After aging for 1,200 h, the first nature frequency and first damping coefficient retention rates of 3D‐4Dir braided graphene‐coated carbon fiber/epoxy composite were 5.5% and 6.4% higher than those of laminated composite, respectively. One of the reasons was the integrated structure of 3D‐4Dir braided composite exposed lower fiber end area to air than that of laminated composite, leading to less interface oxidation. Another reason was that the graphene reinforced gradient interphase provided an effective shield against interface oxidation and restricted the movement of the different phase of the materials at the composites interface. This synergetic reinforcing effect of 3D‐4Dir braided structure and graphene reinforced hierarchical interface provides an easy and effective way to design and improve the thermo‐oxidative stability of carbon fiber reinforced polymer composites. POLYM. COMPOS., 37:2871–2883, 2016. © 2015 Society of Plastics Engineers     

A study on the determination of in-plane permeability of fiber preforms

One of the parameters most frequently used in modeling and designing the mold filling process is the permeability of fibrous preforms. To obtain radial propagation of a viscous polymer into a homogeneous orthotropic porous medium, an approximate solution is derived and its results are compared with numerical ones obtained from boundary element method (BEM). A simple and direct procedure incorporating approximate solution with experimental data has been proposed to determine the principal in-plane permeabilities of the reinforcements. A scheme is also suggested in order to increase the accuracy in the determination of degree of anisotropy. The effect of resin injection type on permeability is investigated through the experiments.     

Influence of Flow Conditions in High‐Pressure Orifices on Droplet Disruption of Oil‐in‐Water Emulsions

Flow conditions in and behind high‐pressure orifices are described by a characteristic correlation between discharge coefficient and Reynolds number. The use of a pressure vessel and variations in viscosity allowed for non‐pulsating flow conditions from laminar to turbulent flow. Emulsions were homogenized under each condition. A considerable difference was observed in the final droplet size distribution depending on laminar, transitional, and turbulent flow. When the flow was pulsating as found when applying a plungers pump, transition of the flow from laminar to turbulence was more difficult to detect. Emulsions homogenized under these conditions indicated broader droplet size distributions. The Sauter mean diameter, however, was not affected by the pulsating flow.     

Particle distribution from in‐plane resin flow in a resin transfer molding process

In liquid composite molding (LCM) processes such as resin transfer molding (RTM), particle distribution can be problematic as the particle fillers can be filtered by the reinforcement fibers during the resin infusion process. In this paper, the filtration of alumina and silica nanoparticles in the production of aramid fiber epoxy composites is characterized. The laminates are produced by in‐plane RTM and the effects of selected process variables on the laminate particle distribution are investigated. The objective is to evaluate the assumption that nanoparticles due to their small physical size inherently do not filter in resin infusion processes. The nanosilica particles are found to effectively not filter, while the nanoalumina particles are much more sensitive to filtration as they formed micro‐scale agglomerates as small as a few microns in size prior to injection. The filtration behavior follows a simple theoretical model for micro‐scale particle filtration, already existing in the literature. For the filtration sensitive particles, it was found that the filtration is influenced by the preform fiber volume content. Other common process variables such as resin viscosity, particle concentration in the injected resin, and saturated resin flow time (resin overflow volume) are found to be filtration independent and do not change the filtration behavior. POLYM. ENG. SCI., 59:22–34, 2019. © 2018 Society of Plastics Engineers