石墨烯掺杂聚合物复合材料介电性能建模

doi:10.7527/S1000-6893.2023.29510

Abstract

Abstract:

A dielectric model of graphene-doped polymer composites is proposed based on the interfacial polarization theory， and the effect of graphene on the effective permittivity of the composites is described. The proposed model explains the interaction between graphene nanoplatelets and polymer matrix at the interfacial layer and calculates the local permittivity and the local electric field of the interfacial layer. With the control variable method， the influence of material properties in the dielectric model is analyzed. Compared with the traditional empirical model， the proposed dielectric model clarified the mechanism of the effect of the upper limit separation distance， the potential barrier height， the matrix layer conductivity， the graphene nanoplatelet sizes， and other factors on the effective permittivity. The effective permittivity of multiple binary and ternary dielectric composites is predicted. The validity of the proposed model is verified by comparing with the experimental values of samples and literature.

Key words: graphene, permittivity, interfacial polarization, polymer composite, doping modification

CLC Number:

V257

Ziwei FANG, Jingjing HE, Jing LIN. Modeling study on dielectric properties of graphene⁃doped polymer composites[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(14): 429510.

Figures/Tables 10

Fig.1

Fig.2

Table 1

Parameters in simulation

参数	取值	参数	数值
$L$ /μm	10.00	$ε m$	100.65
$D$ /μm	1.41	$ε c$	1.80
$r c$ /nm	0.50	$σ m$ /（S·m^-1）	10^-7
$d c$ /nm	10.00	$σ c$ /（S·m^-1）	10⁵
$φ c$ /vol%	0.28	$a$	2 183
$E 0$ /（10⁵ V·m^-1）	1	$λ$ /eV	0.01
$a c$ /μm²	3.12	$φ$ /vol%	0.3

Table 1

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

References 34

1	李田，李镇. 基于展向参数主动控制的机翼外形设计方法［J］. 飞机设计， 2022， 42（6）： 58-63.
	LI T， LI Z. Wing shape design method based on active control of spanwise parameters［J］. Aircraft Design， 2022， 42（6）： 58-63 （in Chinese）.
2	王磊，陈学刚. 流线型民用飞机机头外形的参数化设计方法研究［J］. 机械设计与制造， 2023（11）： 60-63.
	WANG L， CHEN X G. Research on parametric design method of streamlined civil aircraft nose shape［J］. Machinery Design & Manufacture， 2023（11）： 60-63 （in Chinese）.
3	PARK S， INMAN D J， YUN C B. An outlier analysis of MFC-based impedance sensing data for wireless structural health monitoring of railroad tracks［J］. Engineering Structures， 2008， 30（10）： 2792-2799.
4	BRUNNER A J， BARBEZAT M， HUBER C， et al. The potential of active fiber composites made from piezoelectric fibers for actuating and sensing applications in structural health monitoring［J］. Materials and Structures， 2005， 38（5）： 561-567.
5	HUAN T D， BOGGS S， TEYSSEDRE G， et al. Advanced polymeric dielectrics for high energy density applications［J］. Progress in Materials Science， 2016， 83： 236-269.
6	HUANG L Y， LU C X， WANG F， et al. Preparation of PVDF/graphene ferroelectric composite films by in situ reduction with hydrobromic acids and their properties［J］. RSC Adv， 2014， 4（85）： 45220-45229.
7	王奇，漏琦伟，樊占奎，等. 碳纳米管掺杂对聚二甲基硅氧烷薄膜相对介电常数的影响［J］. 材料科学与工程学报， 2022， 40（1）： 57-61.
	WANG Q， LOU Q W， FAN Z K， et al. Relative permittivity of PDMS with doped carbon nanotubes［J］. Journal of Materials Science and Engineering， 2022， 40（1）： 57-61 （in Chinese）.
8	郑金桥，梁飞，戴金航，等. 核壳填料Ag@TiO₂对PTFE基复合材料微波介电性能的调控特性研究［J］. 电子元件与材料， 2021， 40（5）： 460-467.
	ZHENG J Q， LIANG F， DAI J H， et al. Modulation of microwave dielectric properties of PTFE based composite Materials by Ag@TiO₂ core-shell fillers［J］. Electronic Components and Materials， 2021， 40（5）： 460-467 （in Chinese）.
9	BROADBENT S R， HAMMERSLEY J M. Percolation processes［J］. Mathematical Proceedings of the Cambridge Philosophical Society， 1957， 53（3）： 629-641.
10	苏尧天. 氧化石墨烯改性聚合物基柔性高介电材料的制备及其在传感领域的应用［D］. 北京：北京化工大学， 2022.
	SU Y T. Graphene oxide modified polymer-based flexible high dielectric nanocomposites for sensoring application［D］. Beijing： Beijing University of Chemical Technology， 2022 （in Chinese）.
11	LEE J Y， LIANG K， AN K H， et al. Nickel oxide/carbon nanotubes nanocomposite for electrochemical capacitance［J］. Synthetic Metals， 2005， 150（2）： 153-157.
12	CHENG H， TORQUATO S. Electric-field fluctuations in random dielectric composites［J］. Physical Review B， 1997， 56（13）： 8060-8068.
13	ZHANG L， CHENG Z Y. Development of polymer-based 0⁃3 composites with high dielectric constant［M］∥ LI J. Progress in Advanced Dielectrics. Hackensack： World Scientific Publishing Co.， Inc.， 2020： 369-409.
14	SCAIFE B K P. Principles of dielectrics［M］. Oxford： Oxford Science Publications， 1998.
15	BRUGGEMAN D. The calculation of various physical constants of heterogeneous substances. I. The dielectric constants and conductivities of mixtures composed of isotropic substances［J］. Annals of Physics， 1935， 416： 636-791.
16	POON Y M， SHIN F G. A simple explicit formula for the effective dielectric constant of binary 0-3 composites［J］. Journal of Materials Science， 2004， 39（4）： 1277-1281.
17	BERGMAN D J， IMRY Y. Critical behavior of the complex dielectric constant near the percolation threshold of a heterogeneous material［J］. Physical Review Letters， 1977， 39（19）： 1222-1225.
18	LEE J， LIM S. Polarization behavior of polyvinylidene fluoride films with the addition of reduced graphene oxide［J］. Journal of Industrial and Engineering Chemistry， 2018， 67： 478-485.
19	RAHMAN M A， CHUNG G S. Synthesis of PVDF-graphene nanocomposites and their properties［J］. Journal of Alloys and Compounds， 2013， 581： 724-730.
20	OUNAIES Z. Electrical properties of single wall carbon nanotube reinforced polyimide composites［J］. Composites Science and Technology， 2003， 63（11）： 1637-1646.
21	ZHENG Q B， XUE Q Z， YAN K Y， et al. Investigation of molecular interactions between SWNT and polyethylene/polypropylene/polystyrene/polyaniline molecules［J］. The Journal of Physical Chemistry C， 2007， 111（12）： 4628-4635.
22	TANAKA T， KOZAKO M， FUSE N， et al. Proposal of a multi-core model for polymer nanocomposite dielectrics［J］. IEEE Transactions on Dielectrics and Electrical Insulation， 2005， 12（4）： 669-681.
23	KIM J Y， LEE W H， SUK J W， et al. Chlorination of reduced graphene oxide enhances the dielectric constant of reduced graphene oxide/polymer composites［J］. Advanced Materials， 2013， 25（16）： 2308-2313.
24	THAKUR Y， ZHANG T， IACOB C， et al. Enhancement of the dielectric response in polymer nanocomposites with low dielectric constant fillers［J］. Nanoscale， 2017， 9（31）： 10992-10997.
25	DENG F， ZHENG Q S. An analytical model of effective electrical conductivity of carbon nanotube composites［J］. Applied Physics Letters， 2008， 92（7）： 071902.
26	PAYANDEHPEYMAN J， MAZAHERI M， KHAMEHCHI M. Prediction of electrical conductivity of polymer-graphene nanocomposites by developing an analytical model considering interphase， tunneling and geometry effects［J］. Composites Communications， 2020， 21： 100364.
27	CHEN X， YANG T N， ZHANG Q Y， et al. Topological structure enhanced nanostructure of high temperature polymer exhibiting more than ten times enhancement of dipolar response［J］. Nano Energy， 2021， 88： 106225.
28	ZHANG B， CHEN X， LU W C， et al. Morphology-induced dielectric enhancement in polymer nanocomposites［J］. Nanoscale， 2021， 13（24）： 10933-10942.
29	HE J J， FANG Z W， GAO C J， et al. Graphene enhanced flexible piezoelectric transducers for dynamic strain measurement： from material preparation to application［J］. Smart Material Structures， 2023， 32（2）： 025012.
30	钟佳明. 聚偏氟乙烯基高介电储能薄膜的制备与性能研究［D］. 合肥：中国科学技术大学， 2022.
	ZHONG J M. Preparation and properties of polyvinylidene fluoride based composites with high dielectric performance and energy［D］. Hefei： University of Science and Technology of China， 2022 （in Chinese）.
31	WANG S F， CHEN L Q. Interfacial transport in lithium-ion conductors［J］. Chinese Physics B， 2016， 25（1）： 018202.
32	WAN Y J， ZHU P L， YU S H， et al. Barium titanate coated and thermally reduced graphene oxide towards high dielectric constant and low loss of polymeric composites［J］. Composites Science and Technology， 2017， 141： 48-55.
33	WANG G Q， WANG J W， ZHOU S W， et al. Enhanced dielectric properties of acrylic resin elastomer based nanocomposite with thermally reduced graphene nanosheets［J］. RSC Advances， 2016， 6（100）： 98440-98448.
34	WANG Y J， HE P F， LI F Y. Graphene-improved dielectric property of CCTO/PVDF composite film［J］. Ferroelectrics， 2019， 540（1）： 154-161.

[1]	Yongsheng YE, Qinfeng LIU, Ruipeng JIA, Di DING, Weidong JIAO, Xicong YE, Haihua WU, Enyi HE. Broadband wave absorber with filled step-structured design using FDM technology [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(1): 430486-430486.
[2]	Lingcai HUANG. Review of nondestructive testing methods for fiber⁃reinforced polymer composites [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(5): 529697-529697.
[3]	Chao ZHANG, Yong CAO, Zhenqiang ZHAO, Haiyang ZHANG, Jianbo SUN, Zhihua WANG, Duokui YU. Applications and key challenges of polymer composites in civil aero⁃engines: State⁃of⁃art review [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(2): 28556-028556.
[4]	Chao TANG, Wenjun XIE, Peiyu YUAN, Zonghong XIE. Development and verification of a conformal electrothermal deicing functional structure for leading edge of airfoil [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(12): 427872-427872.
[5]	Yongsheng YE, Di DING, Haihua WU, Enyi HE, Shihao YIN, Zhenglang HU, Chao YANG. Graphene-enhanced Fe₃O₄/ethylcellulose composite microspheres with wave absorption properties [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(11): 427549-427549.
[6]	Like XIE, Hua LIANG, Yun WU, Yulin FANG, Biao WEI, Zhi SU, Xuecheng LIU, Borui ZHENG. Comparison of anti-icing performance between plasma actuation and electric heating [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 627971-627971.
[7]	LI Wen, LI Yong, HUAN Dajun, CHU Qiyi, CHEN Haoran. Tensile performance of composites' hat stiffener reinforced wall joint by Z-pin [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(6): 2003-2012.
[8]	LI Wen, LI Yong, HUAN Dajun, CHU Qiyi, XIAO Jun. Bending performance of composite single hat stiffener wall structure reinforced by Z-pin [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(12): 3843-3852.
[9]	DONG Xiaoyang, LI Yong, ZHANG Xiangyang, XIAO Jun, LI Wen. Performance of Polymer Composite Single Lap Joints Reinforced by Z-pin [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(5): 1302-1310.
[10]	LI Guoxian, WANG Tao, XUE Hairong, HU Yuanyuan, HE Jianping. Synthesis of Graphene/Fe₃O₄ Composite Materials and Their Electromagnetic Wave Absorption Properties [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011, 32(9): 1732-1739.
[11]	YANG Jie-ying;LIANG Guo-zheng;TANG Yu-sheng;FANG Hong-qiang;REN Peng-gang. Study on Cyanate Ester Resin/Glass Fiber Composites Reinforced by Aluminium Borate Wisker [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2006, 27(2): 331-335.
[12]	ZHU Ya-hong;MA Xiao-yan;YAN Hong-xia;HUANG Yun;YAO Xue-li. Curing Process and Properties of BCE/CTBN Blends [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2005, 26(6): 759-763.
[13]	ZHANG Fu-kuan;LUO Fa;ZHU Dong-mei;ZHOU Wan-cheng. Preparation,Microwave Properties of Mullite Ceramic and Their Effects on Microwave Absorbing Materials [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2005, 26(2): 250-253.
[14]	REN Peng-gang;LIANG Guo-zheng;YANG Jie-ying;WANG Jie-liang;LU Ting-li. Study on High Performance M40J/BADCy Composite [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2004, 25(4): 411-415.
[15]	YANG Jie-ying;LIANG Guo-zheng;WANG Jie-liang;REN Peng-gang . Study on Cyanate Ester/Epoxy Resin/Novolac Resin Co-Curing System [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2003, 24(5): 462-465.

Modeling study on dielectric properties of graphene⁃doped polymer composites

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 10

References 34

Related Articles 15

Recommended Articles

Metrics

Comments