Percolation Thresholds in Ternary Polymer Melt Blends with Separate Dispersions of the Inner Phases: Mathematical Model |
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| Authors: | Michail A Letuchii Lev Y Klepper |
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| Institution: | 1. Department of Chemistry and Physics of Polymers and Polymeric Materials, M.V. Lomonosov Moscow State University of Fine Chemical Technology, Moscow, Russia;2. Central Economic Mathematical Institute, Russian Academy of Sciences, Moscow, Russia |
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| Abstract: | A mathematical model based on a straightforward geometrical background is developed which enables predictions of a transition of one dispersed phase to a cocontinuous one (i.e., the percolation threshold) on addition of another dispersed phase during melt mixing in ternary polymer blends. The present work concerns only ternary blends with two separate dispersions of the inner phases in which no encapsulation takes place. In addition, in order to simplify the model, one of the inner phases was represented by hard, nondeformable microspheres The expression developed describes well an experimental relationship between the percolation threshold, the concentration above which the former dispersed phase transforms to a continuous one, and concentrations of both inner phases. The results agree well with the experimental data obtained in a previous work. |
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| Keywords: | cocontinuous phases mathematical model percolation threshold phase morphology ternary polymer blends |
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