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University of North Carolina

1. Zheng, Xiaoyu. On the effective properties of nematic polymer nano-composites.

Degree: Mathematics, 2006, University of North Carolina

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. Advisors/Committee Members: Zheng, Xiaoyu, Forest, M. Gregory, University of North Carolina at Chapel Hill.

Subjects/Keywords: College of Arts and Sciences; Department of Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Zheng, X. (2006). On the effective properties of nematic polymer nano-composites. (Thesis). University of North Carolina. Retrieved from https://cdr.lib.unc.edu/record/uuid:d28dbd79-e057-4945-9e1f-14bb70c22946

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Zheng, Xiaoyu. “On the effective properties of nematic polymer nano-composites.” 2006. Thesis, University of North Carolina. Accessed November 25, 2020. https://cdr.lib.unc.edu/record/uuid:d28dbd79-e057-4945-9e1f-14bb70c22946.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Zheng, Xiaoyu. “On the effective properties of nematic polymer nano-composites.” 2006. Web. 25 Nov 2020.

Vancouver:

Zheng X. On the effective properties of nematic polymer nano-composites. [Internet] [Thesis]. University of North Carolina; 2006. [cited 2020 Nov 25]. Available from: https://cdr.lib.unc.edu/record/uuid:d28dbd79-e057-4945-9e1f-14bb70c22946.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zheng X. On the effective properties of nematic polymer nano-composites. [Thesis]. University of North Carolina; 2006. Available from: https://cdr.lib.unc.edu/record/uuid:d28dbd79-e057-4945-9e1f-14bb70c22946

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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