Modeling Kapitza resistance of two-phase composite material

authored by: Bo He, Bohayra Mortazavi, Xiaoying Zhuang, Timon Rabczuk
Abstract: We predict the thermal conductivity of polymer-matrix composites accounting for the interface conductance. We also study the influence of different fillers, i.e. spherical, cylindrical and plate-like fillers (fullerene, carbon nanotubes and graphene sheets) with different ratios (plate diameter to plate thickness and length to diameter ratios for plate-like and cylindrical fillers, respectively). Therefore, we exploit computational homogenization based on representative volume elements (RVEs). We also compare the results to analytical homogenization methods, i.e. the Maxwell–Garnett type effective medium approximation (MG-EMA) and the Mori–Tanaka method; the first method accounts for the interface conductance. As expected, the highest increase in the thermal conductivity is achieved for the cylindrical fillers due to the highest surface-to-volume ratio. Simulations at the nano- and micro-scale reveal that the interface conductance looses relevance at the larger length scales while it has a substantial influence at the nano-scale. Furthermore, we demonstrate that functionalization and increasing the number of segregated graphene sheets can significantly increase the thermal conductivity. Our 3D finite element model reveals that Maxwell–Garnett type effective medium approximation (MG-EMA) and the Mori–Tanaka method cannot be considered as accurate modeling approaches to predict the thermal conductivity of nanocomposite materials. Our investigation therefore highlights the need for more elaborated models in order to more reliably predict the heat transfer of the nanocomposite structures.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Tongji University
Bauhaus-Universität Weimar
Ton Duc Thang University
Type: Article
Journal: Composite Structures
Volume: 152
Pages: 939-946
No. of pages: 8
ISSN: 0263-8223
Publication date: 15.06.2016
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Ceramics and Composites, Civil and Structural Engineering
Electronic version(s): https://doi.org/10.1016/j.compstruct.2016.06.025 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{3547753e42c94294bf67ebbff5764756,
title = "Modeling Kapitza resistance of two-phase composite material",
abstract = "We predict the thermal conductivity of polymer-matrix composites accounting for the interface conductance. We also study the influence of different fillers, i.e. spherical, cylindrical and plate-like fillers (fullerene, carbon nanotubes and graphene sheets) with different ratios (plate diameter to plate thickness and length to diameter ratios for plate-like and cylindrical fillers, respectively). Therefore, we exploit computational homogenization based on representative volume elements (RVEs). We also compare the results to analytical homogenization methods, i.e. the Maxwell–Garnett type effective medium approximation (MG-EMA) and the Mori–Tanaka method; the first method accounts for the interface conductance. As expected, the highest increase in the thermal conductivity is achieved for the cylindrical fillers due to the highest surface-to-volume ratio. Simulations at the nano- and micro-scale reveal that the interface conductance looses relevance at the larger length scales while it has a substantial influence at the nano-scale. Furthermore, we demonstrate that functionalization and increasing the number of segregated graphene sheets can significantly increase the thermal conductivity. Our 3D finite element model reveals that Maxwell–Garnett type effective medium approximation (MG-EMA) and the Mori–Tanaka method cannot be considered as accurate modeling approaches to predict the thermal conductivity of nanocomposite materials. Our investigation therefore highlights the need for more elaborated models in order to more reliably predict the heat transfer of the nanocomposite structures.",
keywords = "Exfoliation, Functionalization, Kapitza resistance",
author = "Bo He and Bohayra Mortazavi and Xiaoying Zhuang and Timon Rabczuk",
note = "Funding information: The authors gratefully acknowledge the National Basic Research Program of China (973 Program: 2011CB013800 ), Shanghai Qimingxing Program ( 16QA1404000 ) and the Ministry of Science and Technology of China (Grant No. SLDRCE14-B-31 ). The authors also acknowledge the SOfia Kovalevskaja Prize of the Humboldt Foundation awarded to Dr. Zhuang.",
year = "2016",
month = jun,
day = "15",
doi = "10.1016/j.compstruct.2016.06.025",
language = "English",
volume = "152",
pages = "939--946",
journal = "Composite Structures",
issn = "0263-8223",
publisher = "Elsevier BV",
}