1999
DOI: 10.1063/1.477829
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Barrier properties of oriented disk composites

Abstract: We examine the effective diffusion coefficient of composites containing randomly placed, impermeable, oriented disks of high aspect ratio. We extend previous work by providing a quantitative framework in which to examine disorder and polydispersity effects, as well as treating explicitly the crossover from the dilute to the semidilute regime as the concentration of disks is increased. Our results have applicability to matrices filled with macroscopic plates or flakes (for example, mica-filled polymers) as well… Show more

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Cited by 273 publications
(195 citation statements)
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“…Indeed due to their high aspect ratio and their impermeable character, the clay platelets are expected to induce significant tortuosity effects when they are dispersed within a polymer matrix. Different models [21,[37][38][39][40][41][42] have been proposed in the literature to express the tortuosity factor as a function of the shape, orientation, dispersion state and volume fraction of the dispersed impermeable particles.…”
Section: Introductionmentioning
confidence: 99%
“…Indeed due to their high aspect ratio and their impermeable character, the clay platelets are expected to induce significant tortuosity effects when they are dispersed within a polymer matrix. Different models [21,[37][38][39][40][41][42] have been proposed in the literature to express the tortuosity factor as a function of the shape, orientation, dispersion state and volume fraction of the dispersed impermeable particles.…”
Section: Introductionmentioning
confidence: 99%
“…The high aspect ratio of the aluminosilicate layers is expected to improve the oxygen-barrier properties by hindering the penetration of the gas molecules and increasing their average path length. [6][7][8] PP-nanocomposites incorporating organically modified montmorillonite have been mostly prepared by melt compounding. [9] To achieve better compatibility between the organo-montmorillonite (OM) and the strongly hydrophobic PP matrix, and hence better clay exfoliation, maleic-anhydride-grafted PP (PP-g-MA) has been used instead or added to PP in large quantities as ''compatibilizer''.…”
Section: Introductionmentioning
confidence: 99%
“…Various barrier models have been proposed to predict the permeability of composites containing dispersed platelets [64][65][66][67][68]. These models usually assume a random spatial arrangement of platelets oriented perpendicular to the permeation direction.…”
Section: Gas Permeabilitymentioning
confidence: 99%
“…These results can be attributed to the improved dispersion of the silicate nanolayers inside the nylon 6 matrix, which obstruct the path of methanol molecules. Some previous barrier models [64][65][66][67][68] were based on longer diffusive paths along which a gas must travel due to the presence of a filler. According to these models, the reduction of permeability should depend on the quantity of filler, its aspect ratio, and the orientation of the platelets.…”
Section: Gas Permeabilitymentioning
confidence: 99%