it seems that all models used in articles end up in palierne model with a lot of simplifying assumptions. how to characterize interface in polymer blend nanocomposites if nanofiller (rod-like) localizes mostly at interface using rheology?
You can consult our two papers on polylactide nanocomposite published in Journal of Food Science.
You can use Gramespacher model to estimate interfacial tensions. No fitting is needed but you need to calculate relaxation spectra to put the longest relaxation time into the equation. you can see my Macromolecule paper.
Which model fits the best depends on the rheological property under consideration that you are trying to study. If you attempting to study the matrix-filler interactions of the nanocomposites, then you may get some ideas from the paper:
A. V. Shenoy and D. R. Saini, Quantitative estimation of matrix-filler interaction in ferrite-filled styrene-isoprene-styrene block copolymer systems, Polymer Composites, Vol. 7, pp. 96-100 (1986).
Other useful information could be obtained from the following book in which there are models for various rheological properties:
Aroon V. Shenoy, Rheology of Filled Polymer Systems, Kluwer Academic Publishers, Netherlands (1999).
To solve this problem we have used relatively simple rheological model based on well-known Prony's series . Any case , first of all is to perform the identification of model using available experimental data.
Best wishes, Serge
This article will help you to understand what happens with rheology in nanocomposites:
https://www.researchgate.net/publication/252436748_Rheological_Phenomena_and_Structure_Formation_in_Multiphase_Polymer_Systems?ev=prf_pub
Finally, every filler contributes a characteristic constant to a simple logarithmic equation describing the effect of concentration on the viscosity of the polymer system.
The reason for this is the formation of very characteristic inner structures, described here:
https://www.researchgate.net/publication/229816762_Electrical_conductivity_in_heterogeneous_polymer_systems._V_%281%29_Further_experimental_evidence_for_a_phase_transition_at_the_critical_volume_concentration
Chapter Rheological Phenomena and Structure Formation in Multiphase ...
Article Electrical conductivity in heterogeneous polymer systems. V ...
Dear Reza
Your Macromolecule paper helped me a lot. How did you take into account the effect of the nanofiller on the viscosity of the polymers in Gramespacher model? You used the zero-shear viscosity of pure polymers in calculating K (viscosity ratio).
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