Article

Extension-Enhanced Conductivity of Liquid Crystalline Polymer Nano-Composites

  1. Hong Zhou1,
  2. M. Gregory Forest2,
  3. Xiaoyu Zheng2,
  4. Qi Wang3,
  5. Robert Lipton4

Article first published online: 6 SEP 2005

DOI: 10.1002/masy.200551007

Issue

Macromolecular Symposia

Macromolecular Symposia

Special Issue: Times of Polymers

Volume 228, Issue 1, pages 81–90, August 2005

Additional Information

How to Cite

Zhou, H., Forest, M. G., Zheng, X., Wang, Q. and Lipton, R. (2005), Extension-Enhanced Conductivity of Liquid Crystalline Polymer Nano-Composites. Macromol. Symp., 228: 81–90. doi: 10.1002/masy.200551007

Author Information

  1. 1

    Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943-5121, USA

  2. 2

    Program in Applied Mathematics, Institute for Advanced Materials, Nanoscience & Technology, University of North Carolina, Chapel Hill, NC 27599-3250, USA

  3. 3

    Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510, USA

  4. 4

    Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA

Publication History

  1. Issue published online: 6 SEP 2005
  2. Article first published online: 6 SEP 2005

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Keywords:

  • conductivity;
  • fibers;
  • homogenization;
  • liquid crystal polymers;
  • nano-composites

Abstract

Our aim here is to predict elongational flow-induced enhancements in thermal or electrical conductivity of liquid crystal polymer (LCP) nano-composites. To do so, we combine two classical mathematical asymptotic analyses: slender longwave hydro-thermo-dynamics for fibers and exact analysis of pure elongation of LCPs in solvents for bulk phases without boundary effects; and homogenization theory for effective properties of low volume-fraction spheroidal inclusions. Two implications follow: elongational flow dominates fiber free surface and thermal effects on electrical and thermal conductivity enhancements; and, there appears to be no sacrifice in enhancements by producing much higher radius, bulk fibers.

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