Rheological properties and domain structures of immiscible polymer blends under steady and oscillatory shear flows

Kitade, Shinichi; Ichikawa, Akihiro; Imura, Naotomo; Takahashi, Yoshiaki; Noda, Ichiro

doi:10.1122/1.550871

Cited by 74 publications

(42 citation statements)

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“…20,21) This r V /r n value is not considered to be monodisperse in the stress relaxation measurements 14) and we have to compare our experimental results with the prediction for the polydisperse droplets (i.e., Eq. (19)) although our blends are expected to have r V /r n rather small.…”

Section: Resultsmentioning

confidence: 99%

Effects of Droplet Size and Volume Fraction on Relaxation Modulus of Immiscible Polymer Blends: Inclusion of Interface Velocity Term

Okamoto

Iwase

Ishikawa

et al. 2008

J. Soc. Rheol., Jpn

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Stress relaxation behavior was investigated under large step shear strains γ for polyisobutylene/poly(dimethyl siloxane) blends with different average droplet-size. The interfacial contribution to the relaxation modulus, G int (t,γ ), was evaluated by subtraction of the matrix contribution from the relaxation modulus of the blend, assuming the linear additivity rule for the relaxation modulus. The interfacial modulus G int (t,γ ) for the blends with different average dropletsize obtained at the same strain can be superposed in a reduced form, G int (t,γ )/(Γφ /r V ) vs. t/τ D , where Γ is the interfacial tension, φ the volume fraction of the droplet phase, r V the volume-averaged radius of droplets, and τ D is the linear viscoelastic relaxation time of the droplets (interface). Superposition can be applied for the blends with φ = 0.108 and 0.214. The superposition is developed from consideration on the theoretical expression for the stress tensor which includes both contributions from the interface velocity term and Laplace pressure term. It is suggested from the good superposition that contribution from droplet-droplet interactions to the stress can be neglected in the present blends with φ ≤ 0.214 or that the contribution is also reduced by the same factors as (Γφ /r V ) and t/τ D .

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Section: Resultsmentioning

confidence: 99%

Effects of Droplet Size and Volume Fraction on Relaxation Modulus of Immiscible Polymer Blends: Inclusion of Interface Velocity Term

Okamoto

Iwase

Ishikawa

et al. 2008

J. Soc. Rheol., Jpn

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show abstract

“…An increase [6][7][8][9][10][11][12][13][14] in elasticity at low frequencies has been consistently reported and is usually attributed to the deformation of the dispersed particles and the recovery to their equilibrium shape due to interfacial tension. This type of measurement is also very [6][7][8][9] sensitive to the volume fraction and the copolymer nature.…”

Section: Introductionmentioning

confidence: 99%

“…This type of measurement is also very [6][7][8][9] sensitive to the volume fraction and the copolymer nature. Palierne developed a model accounting for 15 this type of dynamic mechanical response of concentrated emulsions, where the deformation of the droplets and interfacial tension was considered.…”

Section: Introductionmentioning

confidence: 99%

Rheology of PA-6/EPM/EPM-g-MA blends along a twin-screw extruder

Covas¹,

Machado²,

Duin³

2000

Adv. Polym. Technol.

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“…viscosities under shear flow. It was found that the scaling relation works well for the blends with K ≅ 1 [5][6][7] and K < 1 8) ,…”

Section: Introductionmentioning

confidence: 99%

Effects of Interface Velocity on the Stress Tensor in Immiscible Polymer Blends: Retraction of Spheroidal Droplets and Stress Relaxation

Okamoto

Takahashi

2008

J. Soc. Rheol., Jpn

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The total stress tensor for immiscible polymer blends is calculated based on the theoretical expression by Batchelor (1970), andMellema andWillemse (1983) in the last stage of the stress relaxation under large step shear strains. In this stage, the shape of droplets is spheroid and the retraction of isolated droplets is calculated according to the theory developed by . The calculated results are compared with experimental data for a polyisobutylene/ polydimethylsiloxane blend. Contribution of the motion of the interface (the interface velocity term) to the total stress tensor in the theoretical expression for the isolated droplets is 37 % − 50 %, which cannot be neglected compared with the contribution of the pressure difference beyond the interface (the Laplace pressure term). The summation of both terms agrees well with the experimental data at step strain γ = 1, in which effects inherent in multiple droplet systems are the smallest. The γ dependence of the reduced stress appearing in the experimental data, which cannot be predicted by the theoretical calculation for the isolated droplets, is qualitatively explained by considering droplet size distribution in the theoretical calculation.

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Rheological properties and domain structures of immiscible polymer blends under steady and oscillatory shear flows

Cited by 74 publications

References 0 publications

Effects of Droplet Size and Volume Fraction on Relaxation Modulus of Immiscible Polymer Blends: Inclusion of Interface Velocity Term

Effects of Droplet Size and Volume Fraction on Relaxation Modulus of Immiscible Polymer Blends: Inclusion of Interface Velocity Term

Rheology of PA-6/EPM/EPM-g-MA blends along a twin-screw extruder

Effects of Interface Velocity on the Stress Tensor in Immiscible Polymer Blends: Retraction of Spheroidal Droplets and Stress Relaxation

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