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Polymeric composite systems with two continuous phases
Author(s) -
Nielsen Lawrence E.
Publication year - 1977
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1977.070210613
Subject(s) - materials science , phase (matter) , modulus , composite number , morphology (biology) , continuous phase modulation , bulk modulus , composite material , constant (computer programming) , simple (philosophy) , thermodynamics , physics , computer science , telecommunications , philosophy , epistemology , quantum mechanics , biology , genetics , programming language
A general mixture rule, which has the correct type of phase symmetry, is proposed for estimating the properties of composites having two continuous phases. The form of this equation is different from the equations used to predict the properties of composites with one continuous phase and one dispersed phase. The proposed equation for property P is\documentclass{article}\pagestyle{empty}\begin{document}$ P^n = P_{{\rm A}^n \phi A} + P_{{\rm B}^n \phi B}$\end{document} where the volume fractions of components A and B are ø A and ø B , respectively, and n is a constant. A simple model is used to correlate the morphology of systems having two continuous phase with the parameter n of the mixture rule. The connectivity of the phase varies with concentration. The properties, such as elastic modulus, depend primarily upon the modulus of the material with the higher modulus. In general, the properties depend very little on the morphology of the system.