Modeling Kapitza resistance of two-phase composite material

Bo He, Bohayra Mortazavi, Xiaoying Zhuang, Timon Rabczuk

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)939-946
Number of pages8
JournalComposite Structures
Volume152
DOIs
Publication statusPublished - 2016 Sep 15
Externally publishedYes

Fingerprint

Fillers
Thermal conductivity
Graphite
Composite materials
Graphene
Nanocomposites
Fullerenes
Homogenization method
Polymer matrix composites
Carbon Nanotubes
Carbon nanotubes
Heat transfer

Keywords

  • Exfoliation
  • Functionalization
  • Kapitza resistance

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ceramics and Composites

Cite this

Modeling Kapitza resistance of two-phase composite material. / He, Bo; Mortazavi, Bohayra; Zhuang, Xiaoying; Rabczuk, Timon.

In: Composite Structures, Vol. 152, 15.09.2016, p. 939-946.

Research output: Contribution to journalArticle

He, Bo ; Mortazavi, Bohayra ; Zhuang, Xiaoying ; Rabczuk, Timon. / Modeling Kapitza resistance of two-phase composite material. In: Composite Structures. 2016 ; Vol. 152. pp. 939-946.
@article{4f633948e35a414b9a765ba4007b9730,
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",
year = "2016",
month = "9",
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",

}

TY - JOUR

T1 - Modeling Kapitza resistance of two-phase composite material

AU - He, Bo

AU - Mortazavi, Bohayra

AU - Zhuang, Xiaoying

AU - Rabczuk, Timon

PY - 2016/9/15

Y1 - 2016/9/15

N2 - 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.

AB - 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.

KW - Exfoliation

KW - Functionalization

KW - Kapitza resistance

UR - http://www.scopus.com/inward/record.url?scp=84976340376&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84976340376&partnerID=8YFLogxK

U2 - 10.1016/j.compstruct.2016.06.025

DO - 10.1016/j.compstruct.2016.06.025

M3 - Article

AN - SCOPUS:84976340376

VL - 152

SP - 939

EP - 946

JO - Composite Structures

JF - Composite Structures

SN - 0263-8223

ER -