On the effective properties of nematic polymer nano-composites Public Deposited

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  • March 21, 2019
Creator
  • Zheng, Xiaoyu
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • Many nano-composites consist of rod-like or platelet macromolecules in a solvent matrix, which are observed to yield large property enhancements at very low volume fraction. These particle suspensions are called liquid crystal polymers because they order at a critical volume fraction. In this dissertation, we study the role of the orientational distribution function of liquid crystal polymers and high aspect ratio particle dispersions in composite properties. Chapter I provides a review of the kinetic theory of owing rod dispersions. In Chapters II and III, we use homogenization theory to predict volume-averaged effective properties (specifically thermal conductivity and mechanical properties) versus particle volume fraction, aspect ratio and shear rate. The formulas we derive are in terms of second and fourth moments of the orientational distribution function of the inclusions. We close with recent progress on percolation in rod dispersions.
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  • In Copyright
Advisor
  • Forest, M. Gregory
Degree granting institution
  • University of North Carolina at Chapel Hill
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  • Open access
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