Bin LIU1, Lan DONG1, Qing XI1, Xiangfan XU1, Jun ZHOU1, Baowen LI2()
1. Center for Phononics and Thermal Energy Science; China-EU Joint Center for Nanophononics; Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China 2. Department of Mechanical Engineering, University of Colorado, Boulder, CO 80309, USA
Composite materials, which consist of organic and inorganic components, are widely used in various fields because of their excellent mechanical properties, resistance to corrosion, low-cost fabrication, etc. Thermal properties of organic/inorganic composites play a crucial role in some applications such as thermal interface materials for micro-electronic packaging, nano-porous materials for sensor development, thermal insulators for aerospace, and high-performance thermoelectric materials for power generation and refrigeration. In the past few years, many studies have been conducted to reveal the physical mechanism of thermal transport in organic/inorganic composite materials in order to stimulate their practical applications. In this paper, the theoretical and experimental progresses in this field are reviewed. Besides, main factors affecting the thermal conductivity of organic/inorganic composites are discussed, including the intrinsic properties of organic matrix and inorganic fillers, topological structure of composites, loading volume fraction, and the interfacial thermal resistance between fillers and organic matrix.
. [J]. Frontiers in Energy, 2018, 12(1): 72-86.
Bin LIU, Lan DONG, Qing XI, Xiangfan XU, Jun ZHOU, Baowen LI. Thermal transport in organic/inorganic composites. Front. Energy, 2018, 12(1): 72-86.
Song S H, Park K H, Kim B H, Choi Y W, Jun G H, Lee D J, Kong B S, Paik K W, Jeon S. Enhanced thermal conductivity of epoxy-graphene composites by using non-oxidized graphene flakes with non-covalent functionalization. Advanced Materials, 2013, 25(5): 732–737 https://doi.org/10.1002/adma.201202736
pmid: 23161437
2
Prasher R S, Chang J Y, Sauciuc I, Narasimhan S, Chau D, Chrysler G, Myers A, Prstic S, Hu C. Nano and micro technology-based next-generation package-level cooling solutions. Intel Technology Journal, 2005, 09(04): 285–296 https://doi.org/ 10.1535/itj.0904.03
3
Felba J. Thermally conductive nanocomposites. In: Felba J. Nano-bio-electronic, Photonic and MEMS Packaging. New York: Springer, Science, 2010
4
Renteria J, Legedza S, Salgado R, Balandin M P, Ramirez S, Saadah M, Kargar F, Balandin A A. Magnetically-functionalized self-aligning graphene fillers for high-efficiency thermal management applications. Materials & Design, 2015, 88: 214–221 https://doi.org/10.1016/j.matdes.2015.08.135
Zhang B, Sun J, Katz H E, Fang F, Opila R L. Promising thermoelectric properties of commercial PEDOT: PSS materials and their bi2Te3 powder composites. ACS Applied Materials & Interfaces, 2010, 2(11): 3170–3178 https://doi.org/10.1021/am100654p
pmid: 21053917
7
See K C, Feser J P, Chen C E, Majumdar A, Urban J J, Segalman R A. Water-processable polymer-nanocrystal hybrids for thermoelectrics. Nano Letters, 2010, 10(11): 4664–4667 https://doi.org/10.1021/nl102880k
pmid: 20923178
8
Wang Y, Zhang S M, Deng Y. Flexible low-grade energy utilization devices based on high-performance thermoelectric polyaniline/tellurium nanorod hybrid films. Journal of Materials Chemistry A, Materials for Energy and Sustainability, 2016, 4(9): 3554–3559 https://doi.org/10.1039/C6TA01140C
9
Hong C T, Lee W, Kang Y H, Yoo Y, Ryu J, Cho S Y, Jang K S. Effective doping by spin-coating and enhanced thermoelectric power factors in SWCNT/P3HT hybrid films. Journal of Materials Chemistry A, Materials for Energy and Sustainability, 2015, 3(23): 12314–12319 https://doi.org/ 10.1039/C5TA02443A
10
Zhou C, Dun C, Wang Q, Wang K, Shi Z, Carroll D L, Liu G, Qiao G. Nanowires as building blocks to fabricate flexible thermoelectric fabric: the case of copper telluride nanowires. ACS Applied Materials & Interfaces, 2015, 7(38): 21015–21020 https://doi.org/10.1021/acsami.5b07144
pmid: 26376703
11
Wan C, Gu X, Dang F, Itoh T, Wang Y, Sasaki H, Kondo M, Koga K, Yabuki K, Snyder G J, Yang R, Koumoto K. Flexible n-type thermoelectric materials by organic intercalation of layered transition metal dichalcogenide TiS2. Nature Materials, 2015, 14(6): 622–627 https://doi.org/10.1038/nmat4251
pmid: 25849369
12
Wang H, Hsu J H, Yi S I, Kim S L, Choi K, Yang G, Yu C. Thermally driven large n-type voltage responses from hybrids of carbon nanotubes and poly(3,4-ethylenedioxythiophene) with tetrakis(dimethylamino)ethylene. Advanced Materials, 2015, 27(43): 6855–6861 https://doi.org/10.1002/adma.201502950
pmid: 26427006
13
Sun Y, Qiu L, Tang L, Geng H, Wang H, Zhang F, Huang D, Xu W, Yue P, Guan Y S, Jiao F, Sun Y, Tang D, Di C A, Yi Y, Zhu D. Flexible n-type high-performance thermoelectric thin films of poly(nickel-ethylenetetrathiolate) prepared by an electrochemical method. Advanced Materials, 2016, 28(17): 3351–3358 https://doi.org/ 10.1002/adma.201505922
pmid: 26928813
14
Liu Y, Song Z, Zhang Q, Zhou Z, Tang Y, Wang L, Zhu J, Luo W, Jiang W. Preparation of bulk AgNWs/PEDOT: PSS composites: a new model towards high-performance bulk organic thermoelectric materials. RSC Advances, 2015, 5(56): 45106–45112 https://doi.org/10.1039/C5RA05551B
15
Chen Y, He M, Liu B, Bazan G C, Zhou J, Liang Z. Bendable n-type metallic nanocomposites with large thermoelectric power factor. Advanced Materials, 2017, 29(4): 1604752 https://doi.org/10.1002/adma.201604752
pmid: 27859788
16
Dresselhaus M S, Chen G, Tang M Y, Yang R G, Lee H, Wang D, Ren Z, Fleurial J, Gogna P. New directions for low-dimensional thermoelectric materials. Advanced Materials, 2007, 19(8): 1043–1053 https://doi.org/ 10.1002/adma.200600527
17
Zhou J, Li X, Chen G, Yang R G. Semiclassical model for thermoelectric transport in nanocomposites. Physical Review B: Condensed Matter and Materials Physics, 2010, 82(11): 115308 https://doi.org/10.1103/PhysRevB.82.115308
18
Goyala V, Balandinb A A. Thermal properties of the hybrid graphene-metal nano-micro-composites: applications in thermal interface materials. Applied Physics Letters, 2012, 100(7): 073113 https://doi.org/10.1063/1.3687173
19
Gojny F H, Wichmann M H G, Fiedler B, Kinloch I A, Bauhofer W, Windle A H, Schulte K. Evaluation and identification of electrical and thermal conduction mechanisms in carbon nanotube/epoxy composites. Polymer, 2006, 47(6): 2036–2045 https://doi.org/10.1016/j.polymer.2006.01.029
20
Haggenmueller R, Guthy C, Lukes J R, Fischer J E, Winey K I. Single wall carbon nanotube/polyethylene nanocomposites: thermal and electrical conductivity. Macromolecules, 2007, 40(7): 2417–2421 https://doi.org/ 10.1021/ma0615046
21
Min C, Yu D, Cao J, Wang G, Feng L. A graphite nanoplatelet/epoxy composite with high dielectric constant and high thermal conductivity. Carbon, 2013, 55: 116–125 https://doi.org/10.1016/j.carbon.2012.12.017
22
Hung M T, Choi O, Ju Y S, Hahn H T. Heat conduction in graphite-nanoplatelet-reinforced polymer nanocomposites. Applied Physics Letters, 2006, 89(2): 023117 https://doi.org/10.1063/1.2221874
23
Zhou W, Wang C, Ai T, Wu K, Zhao F, Gu H. A novel fiber-reinforced polyethylene composite with added silicon nitride particles for enhanced thermal conductivity. Composites. Part A, Applied Science and Manufacturing, 2009, 40(6–7): 830–836 https://doi.org/10.1016/j.compositesa.2009.04.005
24
He H, Fu R, Shen Y, Han Y, Song X. Preparation and properties of Si3N4/PS composites used for electronic packaging. Composites Science and Technology, 2007, 67(11–12): 2493–2499 https://doi.org/10.1016/j.compscitech.2006.12.014
25
Jo I, Pettes M T, Kim J, Watanabe K, Taniguchi T, Yao Z, Shi L. Thermal conductivity and phonon transport in suspended few-layer hexagonal boron nitride. Nano Letters, 2013, 13(2): 550–554 https://doi.org/10.1021/nl304060g
pmid: 23346863
26
Zeng J L, Cao Z, Yang D W, Sun L X, Zhang L. Thermal conductivity enhancement of Ag nanowires on an organic phase change material. Journal of Thermal Analysis and Calorimetry, 2010, 101(1): 385–389 https://doi.org/10.1007/s10973-009-0472-y
27
Wang W, Yang X, Fang Y, Ding J, Yan J. Enhanced thermal conductivity and thermal performance of form-stable composite phase change materials by using β-Aluminum nitride. Applied Energy, 2009, 86(7–8): 1196–1200 https://doi.org/ 10.1016/j.apenergy.2008.10.020
28
Li Y, Huang X, Hu Z, Jiang P, Li S, Tanaka T. Large dielectric constant and high thermal conductivity in poly(vinylidene fluoride)/barium titanate/silicon carbide three-phase nanocomposites. ACS Applied Materials & Interfaces, 2011, 3(11): 4396–4403 https://doi.org/10.1021/am2010459
pmid: 22008305
29
Manchado M A L, Valentini L, Biagiotti J, Kenny J M. Thermal and mechanical properties of single-walled carbon nanotubes-polypropylene composites prepared by melt processing. Carbon, 2005, 43(7): 1499–1505 https://doi.org/ 10.1016/j.carbon.2005.01.031
30
Han Z, Fina A. Thermal conductivity of carbon nanotubes and their polymer nanocomposites: a review. Progress in Polymer Science, 2011, 36(7): 914–944 https://doi.org/10.1016/j.progpolymsci.2010.11.004
31
Shahil K M F, Balandin A A. Graphene-multilayer graphene nanocomposites as highly efficient thermal interface materials. Nano Letters, 2012, 12(2): 861–867 https://doi.org/10.1021/nl203906r
pmid: 22214526
32
Shenogina N, Shenogin S, Xue L, Keblinski P. On the lack of thermal percolation in carbon nanotube composites. Applied Physics Letters, 2005, 87(13): 133106 https://doi.org/ 10.1063/1.2056591
33
Shi J, Ger M, Liu Y, Fan Y, Wen N, Lin C, Pu N. Improving the thermal conductivity and shape-stabilization of phase change materials using nanographite additives. Carbon, 2013, 51: 365–372 https://doi.org/10.1016/j.carbon.2012.08.068
34
Yu A, Ramesh P, Sun X, Bekyarova E, Itkis M E, Haddon R C. Enhanced thermal conductivity in a hybrid graphite nanoplatelet–carbon nanotube filler for epoxy composites. Advanced Materials, 2008, 20(24): 4740–4744 https://doi.org/10.1002/adma.200800401
35
Huxtable S T, Cahill D G, Shenogin S, Xue L, Ozisik R, Barone P, Usrey M, Strano M S, Siddons G, Shim M, Keblinski P. Interfacial heat flow in carbon nanotube suspensions. Nature Materials, 2003, 2(11): 731–734 https://doi.org/10.1038/nmat996
pmid: 14556001
36
Foygel M, Morris R D, Anez D, French S, Sobolev V L. Theoretical and computational studies of carbon nanotube composites and suspensions: electrical and thermal conductivity. Physical Review B: Condensed Matter and Materials Physics, 2005, 71(10): 104201 https://doi.org/ 10.1103/PhysRevB.71.104201
37
Coleman J N, Curran S, Dalton A B, Davey A P, McCarthy B, Blau W, Barklie R C. Percolation-dominated conductivity in a conjugated-polymer-carbon-nanotube composite. Physical Review B: Condensed Matter and Materials Physics, 1998, 58(12): R7492–R7495 https://doi.org/10.1103/PhysRevB.58.R7492
38
Wang L, Dang Z. Carbon nanotube composites with high dielectric constant at low percolation threshold. Applied Physics Letters, 2005, 87(4): 042903 https://doi.org/10.1063/1.1996842
Nakayama T, Yakubo K, Orbach R L. Dynamical properties of fractal networks: scaling, numerical simulations, and physical realizations. Reviews of Modern Physics, 1994, 66(2): 381–443 https://doi.org/10.1103/RevModPhys.66.381
41
Balberg I, Anderson C H, Alexander S, Wagner N. Excluded volume and its relation to the onset of percolation. Physical Review B: Condensed Matter and Materials Physics, 1984, 30(7): 3933–3943 https://doi.org/10.1103/PhysRevB.30.3933
42
Tian W, Yang R. Phonon transport and thermal conductivity percolation in random nanoparticle composites. Computer Modeling in Engineering & Sciences, 2008, 24: 123–141
43
Zheng R, Gao J, Wang J, Feng S P, Ohtani H, Wang J, Chen G. Thermal percolation in stable graphite suspensions. Nano Letters, 2012, 12(1): 188–192 https://doi.org/10.1021/nl203276y
pmid: 22145977
44
Kilbride B E, Coleman J N, Fraysse J, Fournet P, Cadek M, Drury A, Hutzler S, Roth S, Blau W J. Experimental observation of scaling laws for alternating current and direct current conductivity in polymer-carbon nanotube composite thin films. Journal of Applied Physics, 2002, 92(7): 4024–4030 https://doi.org/10.1063/1.1506397
Stankovich S, Dikin D A, Dommett G H B, Kohlhaas K M, Zimney E J, Stach E A, Piner R D, Nguyen S T, Ruoff R S. Graphene-based composite materials. Nature, 2006, 442(7100): 282–286 https://doi.org/ 10.1038/nature04969
pmid: 16855586
47
Veca M L, Meziani M J, Wang W, Wang X, Lu F, Zhang P, Lin Y, Fee R, Connell J W, Sun Y. Carbon nanosheets for polymeric nanocomposites with high thermal conductivity. Advanced Materials, 2009, 21(20): 2088–2092 https://doi.org/10.1002/adma.200802317
48
Jang W, Chen Z, Bao W, Lau C N, Dames C. Thickness-dependent thermal conductivity of encased graphene and ultrathin graphite. Nano Letters, 2010, 10(10): 3909–3913 https://doi.org/10.1021/nl101613u
pmid: 20836537
49
Yu A, Ramesh P, Itkis M E, Bekyarova E, Haddon R C. Graphite nanoplatelet-epoxy composite thermal interface materials. Journal of Physical Chemistry C, 2007, 111(21): 7565–7569 https://doi.org/10.1021/jp071761s
50
Tian X, Itkis M E, Bekyarova E B, Haddon R C. Anisotropic thermal and electrical properties of thin thermal interface layers of graphite nanoplatelet-based composites. Scientific Reports, 2013, 3(1): 1710 https://doi.org/ 10.1038/srep01710
Ding P, Zhang J, Song N, Tang S, Liu Y, Shi L. Anisotropic thermal conductive properties of hot-pressed polystyrene/graphene composites in the through-plane and in-plane directions. Composites Science and Technology, 2015, 109: 25–31 https://doi.org/ 10.1016/j.compscitech.2015.01.015
53
Ding P, Su S, Song N, Tang S, Liu Y, Shi L. Highly thermal conductive composites with polyamide-6 covalently-grafted graphene by an in situ polymerization and thermal reduction process. Carbon, 2014, 66: 576–584 https://doi.org/ 10.1016/j.carbon.2013.09.041
54
Shtein M, Nadiv R, Buzaglo M, Kahil K, Regev O. Thermally conductive graphene-polymer composites: size, percolation, and synergy effects. Chemistry of Materials, 2015, 27(6): 2100–2106 https://doi.org/10.1021/cm504550e
55
Shtein M, Nadiv R, Buzaglo M, Regev O. Graphene-based hybrid composites for efficient thermal management of electronic devices. ACS Applied Materials & Interfaces, 2015, 7(42): 23725–23730 https://doi.org/10.1021/acsami.5b07866
pmid: 26445279
56
Guo W, Chen G. Fabrication of graphene/epoxy resin composites with much enhanced thermal conductivity via ball milling technique. Journal of Applied Polymer Science, 2014, 131(15): 40565 https://doi.org/10.1002/app.40565
57
Eksik O, Bartolucci S F, Gupta T, Fard H, Borca-Tasciuc T, Koratkar N. A novel approach to enhance the thermal conductivity of epoxy nanocomposites using graphene core-shell additives. Carbon, 2016, 101: 239–244 https://doi.org/10.1016/j.carbon.2016.01.095
58
Ma L, Wang J, Marconnet A M, Barbati A C, McKinley G H, Liu W, Chen G. Viscosity and thermal conductivity of stable graphite suspensions near percolation. Nano Letters, 2015, 15(1): 127–133 https://doi.org/10.1021/nl503181w
pmid: 25469709
Malekpour H, Chang K H, Chen J C, Lu C Y, Nika D L, Novoselov K S, Balandin A A. Thermal conductivity of graphene laminate. Nano Letters, 2014, 14(9): 5155–5161 https://doi.org/10.1021/nl501996v
pmid: 25111490
61
Kumar P, Shahzad F, Yu S, Hong S M, Kim Y, Koo C M. Large-area reduced graphene oxide thin film with excellent thermal conductivity and electromagnetic interference shielding effectiveness. Carbon, 2015, 94: 494–500 https://doi.org/10.1016/j.carbon.2015.07.032
62
Kumar P, Yu S, Shahzad F, Hong S M, Kim Y H, Koo C M. Ultrahigh electrically and thermally conductive self-aligned graphene/polymer composites using large-area reduced graphene oxides. Carbon, 2016, 101: 120–128 https://doi.org/10.1016/j.carbon.2016.01.088
63
Kim H S, Bae H S, Yu J, Kim S Y. Thermal conductivity of polymer composites with the geometrical characteristics of graphene nanoplatelets. Scientific Reports, 2016, 6(1): 26825 https://doi.org/10.1038/srep26825
pmid: 27220415
Chatterjee S, Nafezarefi F, Tai N H, Schlagenhauf L, Nüesch F A, Chu B T T. Size and synergy effects of nanofiller hybrids including graphene nanoplatelets and carbon nanotubes in mechanical properties of epoxy composites. Carbon, 2012, 50(15): 5380–5386 https://doi.org/10.1016/j.carbon.2012.07.021
66
Li Q, Guo Y, Li W, Qiu S, Zhu C, Wei X, Chen M, Liu C, Liao S, Gong Y, Mishra A K, Liu L. Ultrahigh thermal conductivity of assembled aligned multilayer graphene/epoxy composite. Chemistry of Materials, 2014, 26(15): 4459–4465 https://doi.org/10.1021/cm501473t
67
De Volder M F, Tawfick S H, Baughman R H, Hart A J. Carbon nanotubes: present and future commercial applications. Science, 2013, 339(6119): 535–539 https://doi.org/10.1126/science.1222453
pmid: 23372006
68
Behabtu N, Young C C, Tsentalovich D E, Kleinerman O, Wang X, Ma A W K, Bengio E A, ter Waarbeek R F, de Jong J J, Hoogerwerf R E, Fairchild S B, Ferguson J B, Maruyama B, Kono J, Talmon Y, Cohen Y, Otto M J, Pasquali M. Strong, light, multifunctional fibers of carbon nanotubes with ultrahigh conductivity. Science, 2013, 339(6116): 182–186 https://doi.org/10.1126/science.1228061
pmid: 23307737
69
Marconnet A M, Yamamoto N, Panzer M A, Wardle B L, Goodson K E. Thermal conduction in aligned carbon nanotube-polymer nanocomposites with high packing density. ACS Nano, 2011, 5(6): 4818–4825 https://doi.org/10.1021/nn200847u
pmid: 21598962
70
Lizundia E, Oleaga A, Salazar A, Sarasua J R. Nano- and microstructural effects on thermal properties of poly(L-lactide)/multi-wall carbon nanotube composites. Polymer, 2012, 53(12): 2412–2421 https://doi.org/10.1016/j.polymer.2012.03.046
71
Cui W, Du F, Zhao J, Zhang W, Yang Y, Xie X, Mai Y. Improving thermal conductivity while retaining high electrical resistivity of epoxy composites by incorporating silica-coated multi-walled carbon nanotubes. Carbon, 2011, 49(2): 495–500 https://doi.org/10.1016/j.carbon.2010.09.047
Yu W, Fu J, Chen L, Zong P, Yin J, Shang D, Lu Q, Chen H, Shi L. Enhanced thermal conductive property of epoxy composites by low mass fraction of organic-inorganic multilayer covalently grafted carbon nanotubes. Composites Science and Technology, 2016, 125: 90–99 https://doi.org/10.1016/j.compscitech.2016.01.005
74
Zhao J, Du F, Cui W, Zhu P, Zhou X, Xie X. Effect of silica coating thickness on the thermal conductivity of polyurethane/SiO2 coated multi-walled carbon nanotube composites. Composites Part A, Applied Science and Manufacturing, 2014, 58: 1–6 https://doi.org/10.1016/j.compositesa.2013.11.008
75
Gulotty R, Castellino M, Jagdale P, Tagliaferro A, Balandin A A. Effects of functionalization on thermal properties of single-wall and multi-wall carbon nanotube-polymer nanocomposites. ACS Nano, 2013, 7(6): 5114–5121 https://doi.org/10.1021/nn400726g
pmid: 23672711
76
Bonnet P, Sireude D, Garnier B, Chauvet O. Thermal properties and percolation in carbon nanotube-polymer composites. Applied Physics Letters, 2007, 91(20): 201910 https://doi.org/10.1063/1.2813625
77
Kapadia R S, Louie B M, Bandaru P R. The influence of carbon nanotube aspect ratio on thermal conductivity enhancement in nanotube-polymer composites. Journal of Heat Transfer, 2013, 136(1): 011303 https://doi.org/10.1115/1.4025047
78
Lu C, Mai Y W. Anomalous electrical conductivity and percolation in carbon nanotube composites. Journal of Materials Science, 2008, 43(17): 6012–6015 https://doi.org/ 10.1007/s10853-008-2917-2
79
Sato K, Ijuin A, Hotta Y. Thermal conductivity enhancement of alumina/polyamide composites via interfacial modification. Ceramics International, 2015, 41(8): 10314–10318 https://doi.org/10.1016/j.ceramint.2015.04.088
80
Zhou W, Yu D. Thermal and dielectric properties of the aluminum particle/epoxy resin composites. Journal of Applied Polymer Science, 2010, 118(6): 3156–3166 https://doi.org/ 10.1002/app.32442
81
Balachander N, Seshadri I, Mehta R J, Schadler L S, Borca-Tasciuc T, Keblinski P, Ramanath G. Nanowire-filled polymer composites with ultrahigh thermal conductivity. Applied Physics Letters, 2013, 102(9): 093117 https://doi.org/ 10.1063/1.4793419
82
Zeng J L, Cao Z, Yang D W, Sun L, Zhang L. Thermal conductivity enhancement of Ag nanowires on an organic phase change material. Journal of Thermal Analysis and Calorimetry, 2010, 101(1): 385–389 https://doi.org/10.1007/s10973-009-0472-y
83
Xu J, Munari A, Dalton E, Mathewson A, Razeeb K M. Silver nanowire array-polymer composite as thermal interface material. Journal of Applied Physics, 2009, 106(12): 124310 https://doi.org/ 10.1063/1.3271149
84
Zhu D, Yu W, Du H, Chen L, Li Y, Xie H.Thermal conductivity of composite materials containing copper nanowires. Journal of Nanomaterials, 2016, 3089716
85
Wang S, Cheng Y, Wang R, Sun J, Gao L. Highly thermal conductive copper nanowire composites with ultralow loading: toward applications as thermal interface materials. ACS Applied Materials & Interfaces, 2014, 6(9): 6481–6486 https://doi.org/10.1021/am500009p
pmid: 24716483
Szostak M, Andezejewski J. Thermal properties of polymer-metal composites. Proceedings of the ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis, American Society of Mechanical Engineers, 2014
88
Sim L C, Ramanan S R, Ismail H, Seetharamu K N, Goh T J. Thermal characterization of Al2O3 and ZnO reinforced silicone rubber as thermal pads for heat dissipation purposes. Thermochimica Acta, 2005, 430(1–2): 155–165 https://doi.org/10.1016/j.tca.2004.12.024
89
Choi S, Kim J. Thermal conductivity of epoxy composites with a binary-particle system of aluminum oxide and aluminum nitride fillers. Composites Part B, Engineering, 2013, 51: 140–147 https://doi.org/ 10.1016/j.compositesb.2013.03.002
Kim K, Kim M, Hwang Y, Kim J. Chemically modified boron nitride-epoxy terminated dimethylsiloxane composite for improving the thermal conductivity. Ceramics International, 2014, 40(1): 2047–2056 https://doi.org/10.1016/j.ceramint.2013.07.117
92
Yu W, Wang M, Xie H, Hu Y, Chen L. Silicon carbide nanowires suspensions with high thermal transport properties. Applied Thermal Engineering, 2016, 94: 350–354 https://doi.org/10.1016/j.applthermaleng.2015.10.116
93
Ishida H, Rimdusit S. Very high thermal conductivity obtained by boron nitride-filled polybenzoxazine. Thermochimica Acta, 1998, 320(1–2): 177–186 https://doi.org/10.1016/S0040-6031(98)00463-8
94
Bujard P. Thermal conductivity of boron nitride filled epoxy resins: temperature dependence and influence of sample preparation. Conference on Thermal Phenomena in the Fabrication & Operation of Electronic Components: I-therm, 1988, 41–49
95
Yung K C, Liem H. Enhanced thermal conductivity of boron nitride epoxy-matrix composite through multi-modal particle size mixing. Journal of Applied Polymer Science, 2007, 106(6): 3587–3591 https://doi.org/ 10.1002/app.27027
96
Li T L, Hsu S L. Enhanced thermal conductivity of polyimide films via a hybrid of micro- and nano-sized boron nitride. Journal of Physical Chemistry B, 2010, 114(20): 6825–6829 https://doi.org/ 10.1021/jp101857w
pmid: 20433158
97
Huang X, Zhi C, Jiang P, Golberg D, Bando Y, Tanaka T. Polyhedral oligosilsesquioxane-modified boron nitride nanotube based epoxy nanocomposites: an ideal dielectric material with high thermal conductivity. Advanced Functional Materials, 2013, 23(14): 1824–1831 https://doi.org/10.1002/adfm.201201824
98
Lin Z, Liu Y, Raghavan S, Moon K S, Sitaraman S K, Wong C P. Magnetic alignment of hexagonal boron nitride platelets in polymer matrix: toward high performance anisotropic polymer composites for electronic encapsulation. ACS Applied Materials & Interfaces, 2013, 5(15): 7633–7640 https://doi.org/10.1021/am401939z
pmid: 23815609
99
Takahashi F, Ito K, Morikawa J, Hashimoto T, Hatta I. Characterization of heat conduction in a polymer film. Japanese Journal of Applied Physics, 2004, 43(10): 7200–7204 https://doi.org/10.1143/JJAP.43.7200
100
Yuan C, Duan B, Li L, Xie B, Huang M, Luo X. Thermal conductivity of polymer-based composites with magnetic aligned hexagonal boron nitride platelets. ACS Applied Materials & Interfaces, 2015, 7(23): 13000–13006 https://doi.org/ 10.1021/acsami.5b03007
pmid: 25996341
101
Goyal V, Balandin A A. Thermal properties of the hybrid graphene-metal nano-micro-composites: applications in thermal interface materials. Applied Physics Letters, 2012, 100(7): 073113 https://doi.org/ 10.1063/1.3687173
102
Zhou T, Wang X, Liu X, Xiong D. Improved thermal conductivity of epoxy composites using a hybrid multi-walled carbon nanotube/micro-SiC filler. Carbon, 2010, 48(4): 1171–1176 https://doi.org/ 10.1016/j.carbon.2009.11.040
103
Lee G W, Park M, Kim J, Lee J I, Yoon H G. Enhanced thermal conductivity of polymer composites filled with hybrid filler. Composites Part A, Applied Science and Manufacturing, 2006, 37(5): 727–734 https://doi.org/10.1016/j.compositesa.2005.07.006
104
Fang L, Wu C, Qian R, Xie L, Yang K, Jiang P. Nano–micro structure of functionalized boron nitride and aluminum oxide for epoxy composites with enhanced thermal conductivity and breakdown strength. RSC Advances, 2014, 4(40): 21010–21017 https://doi.org/ 10.1039/C4RA01194E
105
Wang F, Zeng X, Yao Y, Sun R, Xu J, Wong C P. Silver nanoparticle-deposited boron nitride nanosheets as fillers for polymeric composites with high thermal conductivity. Scientific Reports, 2016, 6(1): 19394 https://doi.org/ 10.1038/srep19394
pmid: 26783258
106
Garnett J C M. Colours in metal glasses and in metallic films. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1904, 203(359–-371): 385–420 https://doi.org/10.1098/rsta.1904.0024
107
Bruggeman D A G. Calculation of different physical constants of heterogeneous substances, I. dielectric constants and conductances of mixers of isotropic substances. Annalen der Physik. Leipzig, 1935, 24: 636–679 (in German)
108
Hamilton R L, Crosser O K. Thermal conductivity of heterogeneous two-component systems. Industrial & Engineering Chemistry Fundamentals, 1962, 1(3): 187–191 https://doi.org/10.1021/i160003a005
109
Jeffrey D J. Conduction through a random suspension of spheres. Proceedings of the Royal Society of London A Mathematical, Physical and Engineering Sciences, 1973, 335: 355–367
110
Bonnecaze R T, Brady J F. The effective conductivity of random suspensions of spherical particles. Proceedings of the Royal Society of London A Mathematical, Physical and Engineering Sciences, 1991, 432: 445–465
111
Bonnecaze R T, Brady J F. A method for determining the effective conductivity of dispersions of particles. Proceedings of the Royal Society of London A Mathematical, Physical and Engineering Sciences, 1990, 430: 285–313
112
Yu W, Choi S U S. The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. Journal of Nanoparticle Research, 2003, 5(1/2): 167–171 https://doi.org/10.1023/A:1024438603801
Patel H E, Das S K, Sundararajan T, Nair A S, George B, Pradeep T. Thermal conductivities of naked and monolayer protected metal nanoparticle based nanofluids: manifestation of anomalous enhancement and chemical effects. Applied Physics Letters, 2003, 83(14): 2931–2933 https://doi.org/ 10.1063/1.1602578
115
Choi S U S, Zhang Z G, Yu W, Lockwood F E, Grulke E A. Anomalous thermal conductivity enhancement in nanotube suspensions. Applied Physics Letters, 2001, 79(14): 2252–2254 https://doi.org/10.1063/1.1408272
116
Eastman J A, Choi S U S, Li S, Yu W, Thompson L J. Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Applied Physics Letters, 2001, 78(6): 718–720 https://doi.org/10.1063/1.1341218
117
Keblinski P, Phillpot S R, Choi S U S, Eastman J A. Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids). International Journal of Heat and Mass Transfer, 2002, 45(4): 855–863 https://doi.org/10.1016/S0017-9310(01)00175-2
118
Kumar D H, Patel H E, Kumar V R R, Sundararajan T, Pradeep T, Das S K. Model for heat conduction in nanofluids. Physical Review Letters, 2004, 93(14): 144301 https://doi.org/10.1103/PhysRevLett.93.144301
pmid: 15524799
119
Xuan Y, Li Q, Hu W. Aggregation structure and thermal conductivity of nanofluids. AIChE Journal, 2003, 49(4): 1038–1043 https://doi.org/10.1002/aic.690490420
120
Kapitza P L. Heat transfer and superfluidity of helium II. Physical Review, 1941, 20: 354–355
121
Hu L, Desai T, Keblinski P. Determination of interfacial thermal resistance at the nanoscale. Physical Review B: Condensed Matter and Materials Physics, 2011, 83(19): 195423 https://doi.org/10.1103/PhysRevB.83.195423
122
Hasselman D P H, Johnson L F. Effective thermal conductivity of composites with interfacial thermal barrier resistance. Journal of Composite Materials, 1987, 21(6): 508–515 https://doi.org/10.1177/002199838702100602
123
Benveniste Y. Effective thermal conductivity of composites with a thermal contact resistance between the constituents: nondilute case. Journal of Applied Physics, 1987, 61(8): 2840–2843 https://doi.org/10.1063/1.337877
124
Nan C W, Birringer R, Clarke D R, Gleiter H. Effective thermal conductivity of particulate composites with interfacial thermal resistance. Journal of Applied Physics, 1997, 81(10): 6692–6699 https://doi.org/ 10.1063/1.365209
125
Nan C W, Liu G, Lin Y, Li M. Interface effect on thermal conductivity of carbon nanotube composites. Applied Physics Letters, 2004, 85(16): 3549–3551 https://doi.org/ 10.1063/1.1808874
126
Ordonez-Miranda J, Yang R. Effect of a metallic coating on the thermal conductivity of carbon nanofiber–dielectric matrix composites. Composites Science and Technology, 2015, 109: 18–24 https://doi.org/10.1016/j.compscitech.2015.01.010
127
Ordonez-Miranda J, Yang R, Alvarado-Gil J J. A model for the effective thermal conductivity of metal-nonmetal particulate composites. Journal of Applied Physics, 2012, 111(4): 044319 https://doi.org/10.1063/1.3688044
128
Ordonez-Miranda J, Yang R, Alvarado-Gil J J. A crowding factor model for the thermal conductivity of particulate composites at non-dilute limit. Journal of Applied Physics, 2013, 114(6): 064306 https://doi.org/10.1063/1.4818409
129
Minnich A, Chen G. Modified effective medium formulation for the thermal conductivity of nanocomposites. Applied Physics Letters, 2007, 91(7): 073105 https://doi.org/ 10.1063/1.2771040
130
Ordonez-Miranda J, Yang R, Alvarado-Gil J J. On the thermal conductivity of particulate nanocomposites. Applied Physics Letters, 2011, 98(23): 233111 https://doi.org/ 10.1063/1.3593387
131
Kim G H, Lee D, Shanker A, Shao L, Kwon M S, Gidley D, Kim J, Pipe K P. High thermal conductivity in amorphous polymer blends by engineered interchain interactions. Nature Materials, 2014, 14(3): 295–300 https://doi.org/10.1038/nmat4141
pmid: 25419813
132
Agari Y, Ueda A, Tanaka M, Nagai S. Thermal conductivity of a polymer filled with particles in the wide range from low to super-high volume content. Journal of Applied Polymer Science, 1990, 40(56): 929–941 https://doi.org/10.1002/app.1990.070400526
133
Wang B, Zhou L, Peng X. A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles. International Journal of Heat and Mass Transfer, 2003, 46(14): 2665–2672 https://doi.org/ 10.1016/S0017-9310(03)00016-4
Devpura A, Phelan P E, Prasher R S. Size effects on the thermal conductivity of polymers laden with highly conductive filler particles. Microscale Thermophysical Engineering, 2001, 5(3): 177–189 https://doi.org/ 10.1080/108939501753222869
136
Duong H M, Papavassiliou D V, Lee L L, Mullen K J. Random walks in nanotube composites: improved algorithms and the role of thermal boundary resistance. Applied Physics Letters, 2005, 87(1): 013101 https://doi.org/10.1063/1.1940737
137
Singh I V, Tanaka M, Endo M. Effect of interface on the thermal conductivity of carbon nanotube composites. International Journal of Thermal Sciences, 2007, 46(9): 842–847 https://doi.org/10.1016/j.ijthermalsci.2006.11.003
138
Duong H M, Yamamoto N, Papavassiliou D V, Maruyama S, Wardle B L. Inter-carbon nanotube contact in thermal transport of controlled-morphology polymer nanocomposites. Nanotechnology, 2009, 20(15): 155702 https://doi.org/10.1088/0957-4484/20/15/155702
pmid: 19420554
139
Kumar S, Alam M A, Murthy J Y. Effect of percolation on thermal transport in nanotube composites. Applied Physics Letters, 2007, 90(10): 104105 https://doi.org/10.1063/1.2712428
Tian W, Yang R. Effect of interface scattering on phonon thermal conductivity percolation in random nanowire composites. Applied Physics Letters, 2007, 90(26): 263105 https://doi.org/10.1063/1.2751610