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Hybrid Model of Viscosity of Polymer Blends
Author(s) -
Fedotov Aleksandr F.
Publication year - 2019
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.24912
Subject(s) - materials science , viscosity , phenomenological model , polymer , composite material , porosity , volume (thermodynamics) , porous medium , phase (matter) , boundary value problem , matrix (chemical analysis) , deformation (meteorology) , strain rate , mechanics , thermodynamics , mathematics , mathematical analysis , physics , statistics , quantum mechanics
A hybrid model of the viscous properties of polymeric matrix blends with isolated (MPBs) and continuous phases (CPBs) was proposed. The hybrid model combines the analytical Hill's model of the average stresses and strains for viscous composites and semi‐empirical model of porous materials. A distinctive feature of the model is to calculate the concentration ratios of the average strain rate through the effective volume of the average strain rate. Effective volumes are determined by solving the boundary problem of viscous deformation of the representative volume of two‐phase MPBs or CPBs considering a possible porous state of a material. The comparison of the calculation results with the experimental data was made. The new model more accurately describes the viscosity of the two‐phase polymer blends than the known phenomenological models. The area of application of the hybrid model is limited to melts of polymer blends, the viscosity of which is inside the Hashin‐Shtrikman's bounds. POLYM. ENG. SCI., 59:E212–E218, 2019. © 2018 Society of Plastics Engineers