The problem of elastic inclusions at finite concentration

Molinari, A.; Mouden, M. El

doi:10.1016/0020-7683(95)00275-8

Cited by 45 publications

(23 citation statements)

References 25 publications

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“…This effect requires the presence of aggregates that are not present in the present case, as shown by the optical observation of the composites and SANS experiments. 24 The maximum of the tan peak for the ␣ relaxation decreases with increasing the whisker content as reported for other filled composites. 37 The decrease of the ␤ relaxation maximum might result from the decrease of the ␣ relaxation, as these two relaxations overlap in this temperature range.…”

Section: Viscoelastic Behaviormentioning

confidence: 54%

Viscoelastic properties of plasticized PVC reinforced with cellulose whiskers

Chazeau

Cavaillé

Canova

et al. 1999

J. Appl. Polym. Sci.

199

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New nanocomposites are processed with a plasticized poly(vinyl chloride) matrix reinforced by cellulose whiskers whose characteristics are a high aspect ratio and a large interface area. Dynamic mechanical analysis performed on samples reinforced with a filler fraction of up to 12.4 vol % gives the viscoelastic properties of the composite above and below its glass transition temperature. Different theoretical predictions are proposed to describe this behavior, but none of them is found wholly satisfactory for describing the reinforcing effect of these fillers. A model based on the Halpin-Kardos equation, with the assumption of an immobilized phase around the whiskers, is developed to account for significant decrease in the modulus drop, on passing above the glass transition temperature. The small discrepancy between this model and the experimental modulus measured in the rubber plateau is discussed as a possible effect of a percolating whisker network whose crosslinks are assured by chains adsorbed onto the whisker surface. Swelling experiments support this hypothesis.

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Section: Viscoelastic Behaviormentioning

confidence: 54%

Viscoelastic properties of plasticized PVC reinforced with cellulose whiskers

Chazeau

Cavaillé

Canova

et al. 1999

J. Appl. Polym. Sci.

199

View full text Add to dashboard Cite

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“…), and even at very low fraction of particles in the case of nanocomposites. For instance, the cluster model, developed by Molinari et al, [22] which is an extension of the self-consistent model, though including the geometry of the whiskers, their anisotropic properties and their interaction via a Green operator, does not describe correctly the mechanical properties of pPVC composite (Fig. 2b).…”

Section: Percolation and Electrical Measurementsmentioning

confidence: 99%

Polymer Based Nanocomposites: Effect of Filler-Filler and Filler-Matrix Interactions

et al. 2001

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Nanocomposite materials present specific features, mainly due to their very high interfacial area, and a very short distance between reinforcing particles surface. For polymer based nanocomposites, reinforcing particles are most of the time much stiffer than the matrix. In that case, the percolation of those particles which occurs at a threshold fraction which depends on their shape factor (and on their dispersion characteristics) is shown to play a drastic role, especially if they form a rigid network. Such a network may result from strong interactions between the surface of the dispersed particles, but softer network may appear if the particles are bound together through the interactions of their surface with polymer chains. In order to analyze and to predict the behavior of nanocomposite materials, a modeling of this type of interactions is proposed, and allows to better understand the origin of the high reinforcing effect, generally observed. However, the complete prediction of composite materials with percolating dispersed fillers is still a difficult problem and requires further developments. It exemplifies for the special case of composites a general problem of two phase materials: the effect of scaling down the reinforcement and the properties of entangled structures.

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“…Some of us find the T-matrix approach particularly attractive because it is based on physically transparent integral equation methods (Green's function techniques) similar to those used in quantum scattering theory, and gives physically plausible results even when the inclusion concentrations are no longer very small. The importance of the problem of inclusions at finite concentration is discussed by Molinari and Mouden (1996).…”

Section: General Considerationsmentioning

confidence: 99%