Extension-enhanced conductivity of liquid crystalline polymer nano-composites
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Authors
Zhou, Hong
Forest, M. Gregory
Zheng, Xiaoyu
Wang, Qi
Lipton, Robert
Subjects
conductivity
fibers
homogenization
liquid crystal polymers
nano-composites
fibers
homogenization
liquid crystal polymers
nano-composites
Advisors
Date of Issue
2005
Date
Publisher
Language
Abstract
Our aim here is to predict elongational flow-induced enhancements
in thermal or electrical conductivity of liquid crystal polymer (LCP) nanocomposites.
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.
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
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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Article
Description
The article of record as published may be located at http://dx.doi.org/10.1002/masy.200551007
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Department
Applied Mathematics
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Citation
Times of Polymers (Macromolecular Symposia Vol.228) pp. 81-89,313
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.