Numerical simulation of thermal and dielectric properties for SiO<sub>2</sub>/polytetrafluoroethylene dielectric composite

Liu Yue-Li; Zhao Si-Jie; Chen Wen; Zhou Jing

doi:10.7498/aps.71.20220839

Abstract

Coefficient of thermal expansion (CTE) and dielectric constant for the SiO₂/polytetrafluoroethylene (SiO₂/PTFE) dielectric composite are mainly influenced by their filling content, and how to accurately predict the effect is still a great challenge untill now. In this work, the CTE and dielectric constant of SiO₂/PTFE dielectric composite are systematically investigated by numerical simulation. The results show that with the increase of SiO₂ content, CTE of SiO₂/PTFE dielectric composite decreases, and the dielectric constant increases, which are in good agreement with the data reported in the literature (Han K K, Zhou J, Li Q Z, Shen J, Qi Y Y, Yao X P, Chen W 2020 J. Mater. Sci. Mater. Electron. 31 9196). The 30% (volume fraction) solid SiO₂ sphere (SSS)/PTFE dielectric composite is the smallest CTE of 7.5×10^–5 K^–1, while 10% (volume fraction) hollow solid sphere (HSS)/PTFE possesses the smallest dielectric constant of 2.06. The CTE of SiO₂/PTFE dielectric composite may decrease when the SiO₂ distribution is dense at the bottom. The large aspect ratio of SiO₂ filler may reduce CTE_x of SiO₂/PTFE dielectric composite. The molding parameters have little effect on the thermal expansion coefficient of the solid SiO₂/PTFE composite dielectric material. This work provides a clear insight into the controlling of CTE and dielectric constant of SiO₂/PTFE dielectric composite by adjusting its microstructure.

Keywords:

Authors and contacts

1.
State Key Laboratory of Silicate Materials for Architectures, School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China
2.
State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China

Corresponding author: Zhou Jing, zhoujing@whut.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12174298), the Key Projects of Natural Science Foundation of Hubei Province, China (Grant No. 2019CFA044), the Hainan Provincial Joint Project of Sanya Yazhou Bay Science and Technology City, China (Grant No. 20201g0158), and the National Natural Science Foundation of Shenzhen City, China (Grant No. JCYJ20210324135002007).

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References

[1]	Sebastian M T, Jantunen H 2010 Int. J. Appl. Ceram. Technol. 7 415 Google Scholar
[2]	Sadeghifar H, Djilali N, Bahrami M 2014 J. Power Sources 248 632 Google Scholar
[3]	Feng X, Diao X S, Shi Y J, Wang H Y, Sun S H, Lu X H 2006 Wear 261 1208 Google Scholar
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[5]	Yuan Y, Yin Y T, Yu D D, Lin H D, Wang J, Tang B, Li E Z 2017 J. Mater. Sci. Mater. Electron. 28 3356 Google Scholar
[6]	Tang A G, Wang M L, Huang W, Wang X L 2015 Surf. Coat. Technol. 282 121 Google Scholar
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Cited By

图 1 SiO₂/PTFE复合介质材料的几何结构　(a) SSS; (b) HSS

Figure 1. Geometric structure of the SiO₂/PTFE dielectric composite: (a) SSS; (b) HSS.

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图 2 SiO₂/PTFE复合介质材料的热通量边界条件示意图　(a) 垂直表面; (b)上下表面

Figure 2. Schematic diagram of heat flux boundary conditions for SiO₂/PTFE dielectric composite: (a) Vertical surface; (b) upper and lower surfaces.

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图 3 SiO₂/PTFE复合介质材料的边界载荷和固定边界条件示意图

Figure 3. Schematic diagram of boundary loading and fixed boundary condition for SiO₂/PTFE dielectric composite.

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图 4 SiO₂/PTFE复合介质材料应用非结构化四面体网格

Figure 4. Schematic diagram of applied unstructured tetrahedral mesh for SiO₂/PTFE dielectric composite.

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图 5 Z轴位移分布示意图　(a) PTFE; (b) SiO₂

Figure 5. Schematic diagram of Z-axis displacement distribution: (a) PTFE; (b) SiO₂.

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图 6 不同SSS填充量的SSS/PTFE复合介质材料的位移分布　(a) 10%; (b) 15%; (c) 20%; (d) 25%; (e) 30%

Figure 6. Surface displacement distribution map of SSS/PTFE dielectric composite with different filling amounts of SSS: (a) 10%; (b) 15%; (c) 20%; (d) 25%; (e) 30%.

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图 7 SSS/PTFE复合介质材料的CTE和介电常数随SSS填充量的变化曲线　(a) CTE; (b) 介电常数

Figure 7. CTE and dielectric constant variations of SSS/PTFE composites with SSS filler contents: (a) CTE; (b) dielectric constant.

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图 8 不同HSS填充量的HSS/PTFE复合介质材料的位移分布　(a) 10%; (b) 15%; (c) 20%; (d) 25%; (e) 30%

Figure 8. Surface displacement distribution map of HSS/PTFE dielectric composite with different HSS filling amounts: (a) 10%; (b) 15%; (c) 20%; (d) 25%; (e) 30%.

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图 9 HSS/PTFE复合介质材料的热膨胀系数和介电常数随HSS填充量的变化曲线　(a) CTE; (b) 介电常数

Figure 9. CTE and dielectric constant variations of HSS/PTFE dielectric composites with HSS filler contents: (a) CTE; (b) dielectric constant.

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图 10 不同长径比的纤维状SiO₂/PTFE复合介质材料的X, Y, Z轴位移分布　(a)—(c) 长径比为5; (d)—(f) 长径比为10; (g)—(i) 长径比为20

Figure 10. X, Y, Z axes displacement distribution of SiO₂/PTFE dielectric composite with different aspect ratios of SiO₂ fiber: (a)–(c) Aspect ratio of 5; (d)–(f) aspect ratio of 10; (g)–(i) aspect ratio of 20.

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图 11 不同长径比的薄片状SiO₂/PTFE复合介质材料X, Y, Z轴位移分布　(a)—(c) 长径比为5; (d)—(f) 长径比为10; (g)—(i) 长径比为20

Figure 11. X, Y, Z axes displacement distribution of SiO₂/PTFE dielectric composite with different aspect ratios of SiO₂ flake: (a)–(c) Aspect ratio of 5; (d)–(f) aspect ratio of 10; (g)–(i) aspect ratio of 20.

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图 12 不同SiO₂长径比SiO₂/PTFE复合介质材料的CTE　(a) 纤维状SiO₂; (b) 薄片状SiO₂

Figure 12. CTE of SiO₂/PTFE dielectric composite with different aspect ratios of SiO₂ filler: (a) SiO₂ fiber; (b) SiO₂ flake.

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图 13 SiO₂/PTFE复合介质材料的SiO₂分布模型

Figure 13. SiO₂ distribution model of SiO₂/PTFE dielectric composite.

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图 14 SiO₂/PTFE复合介质材料的位移随时间的变化

Figure 14. Displacement variations of SiO₂/PTFE dielectric composite with different time.

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表 1 材料物性参数

Table 1. Physical parameters of materials.

材料	PTFE	SiO₂	空气
密度 ρ/(g·cm^–3)	2.10	2.20	—
热导率 k/(W·m^–1·K^–1)	0.24	1.40	—
比热容 c/(10³ J·kg^–1·K^–1)	1.05	0.73	—
泊松比 ν	0.40	0.22	0
杨氏模量 E/GPa	0.28	70.0	—
CTE/(10^–6 K^–1)	109	0.50	—
介电常数	2.05	3.50	1.00

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表 2 SiO₂/PTFE复合介质材料的CTE

Table 2. CTE of SiO₂/PTFE dielectric composite.

不同的分布情况	CTE/(10^–6 K^–1)
1, 2, 3, 4分布10%; 5, 6, 7, 8分布20%	101.34
1, 2, 3, 4分布20%; 5, 6, 7, 8分布10%	96.78
1, 3, 4, 5分布20%; 2, 6, 7, 8分布10%	97.85
1, 3, 4, 6分布20%; 2, 5, 7, 8分布10%	98.05
1, 3, 4, 7分布20%; 2, 5, 6, 8分布10%	97.81
1, 3, 4, 8分布20%; 2, 5, 6, 7分布10%	97.80
1, 3, 5, 7分布20%; 2, 4, 6, 8分布10%	98.71
1, 3, 6, 8分布20%; 2, 4, 5, 7分布10%	99.09
1, 6, 7, 8分布20%; 2, 3, 4, 5分布10%	100.02

DownLoad: CSV

[1]	Sebastian M T, Jantunen H 2010 Int. J. Appl. Ceram. Technol. 7 415 Google Scholar
[2]	Sadeghifar H, Djilali N, Bahrami M 2014 J. Power Sources 248 632 Google Scholar
[3]	Feng X, Diao X S, Shi Y J, Wang H Y, Sun S H, Lu X H 2006 Wear 261 1208 Google Scholar
[4]	Murali K P, Rajesh S, Prakash O, Kulkarni A R, Ratheesh R 2009 Compos. Pt. A: Appl. Sci. Manuf. 40 1179 Google Scholar
[5]	Yuan Y, Yin Y T, Yu D D, Lin H D, Wang J, Tang B, Li E Z 2017 J. Mater. Sci. Mater. Electron. 28 3356 Google Scholar
[6]	Tang A G, Wang M L, Huang W, Wang X L 2015 Surf. Coat. Technol. 282 121 Google Scholar
[7]	Luo F C, Tang B, Yuan Y, Fang Z X, Zhang S R 2018 Appl. Surf. Sci. 456 637 Google Scholar
[8]	Zheng L, Zhou J, Shen J, Qi Y Y, Li S, Shen S 2018 J. Mater. Sci. Mater. Electron. 29 17195 Google Scholar
[9]	Ren J Q, Yang P, Peng Z J, Fu X L 2021 Ceram. Int. 47 20867 Google Scholar
[10]	Jiang P F, Bian J J 2019 Int. J. Appl. Ceram. Technol. 16 152 Google Scholar
[11]	Chen W Z, Yu Y L, Gu Y P, Ji Y C, He J J, Li Z D, Zheng G Y, Wang J L, Wu Y, Long F 2022 Compos. Pt. A: Appl. Sci. Manuf. 154 106783 Google Scholar
[12]	Yuan Y, Li Z T, Cao L, Tang B, Zhang S R 2019 Ceram. Int. 45 16569 Google Scholar
[13]	Dai J H, Liang F, Zhang R, Lu W Z, Fan G F 2022 Ceram. Int. 48 2362 Google Scholar
[14]	Murali K P, Rajesh S, Prakash O, Kulkarni A R, Ratheesh R 2010 Mater. Chem. Phys. 122 317 Google Scholar
[15]	王娇, 刘少辉, 周梦, 郝好山, 翟继卫 2020 物理学报 69 218101 Google Scholar Wang J, Liu S H, Zhou M, Hao H S, Zhai J W 2020 Acta Phys. Sin. 69 218101 Google Scholar
[16]	Peng H Y, Ren H S, Dang M Z, Zhang Y, Yao X G, Lin H X 2018 Ceram. Int. 44 16556 Google Scholar
[17]	Sasikala T S, Sebastian M T 2016 Ceram. Int. 42 7551 Google Scholar
[18]	Chen Y C, Lin H C, Lee Y D 2003 J. Polym. Res. 10 247 Google Scholar
[19]	Kemaloglu S, Ozkoc G, Aytac A 2010 Polym. Compos. 31 1398 Google Scholar
[20]	Zhou W Y, Wang C F, Ai T, Wu K, Zhao F J, Gu H Z 2009 Compos. Pt. A: Appl. Sci. Manuf. 40 830 Google Scholar
[21]	Zhou H, Wei D Y, Fan Y, Chen H, Yang Y S, Yu J J, Jin L G 2016 Mater. Sci. Eng. B:Adv. Funct. Solid: State Mater. 203 13 Google Scholar
[22]	Jiang Z H, Yuan Y 2018 Mater. Res. Express 5 066306 Google Scholar
[23]	Ndayishimiye A, Tsuji K, Wang K, Bang S H, Randall C A 2019 J. Eur. Ceram. Soc. 39 4743 Google Scholar
[24]	刘康, 孙华锐 2020 物理学报 69 028501 Google Scholar Liu K, Sun H R 2020 Acta Phys. Sin. 69 028501 Google Scholar
[25]	黎威志, 王军 2012 物理学报 61 114401 Google Scholar Li W Z, Wang J 2012 Acta Phys. Sin. 61 114401 Google Scholar
[26]	邵春瑞, 李海洋, 王军, 夏国栋 2021 物理学报 70 236501 Google Scholar Shao C R, Li H Y, Wang J, Xia G D 2021 Acta Phys. Sin. 70 236501 Google Scholar
[27]	Shi X L, Aghdam M K H, Ansari R 2019 Proc. Inst. Mech. Eng. Pt. L: J. Mater. Design Appl. 233 1843 Google Scholar
[28]	Hassanzadeh-Aghdam M K, Ansari R 2020 Mater. Chem. Phys. 252 123273 Google Scholar
[29]	Chawla N, Deng X, Schnell D R M 2006 Mater. Sci. Eng. A: Struct. Mater. Prop. Microstruct. Process. 426 314 Google Scholar
[30]	Gurrum S P, Zhao J H, Edwards D R 2011 J. Mater. Sci. 46 101 Google Scholar
[31]	Han K K, Zhou J, Li Q Z, Shen J, Qi Y Y, Yao X P, Chen W 2020 J. Mater. Sci. Mater. Electron. 31 9196 Google Scholar
[32]	Kang S, Hong S I, Choe C R, et al. 2001 Polymer 42 879 Google Scholar
[33]	Pan J, Bian L C 2017 Acta. Mech. 228 4341 Google Scholar
[34]	La Carrubba V, Butters M, Zoetelief W 2008 Polym. Bull. 59 813 Google Scholar

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Numerical simulation of thermal and dielectric properties for SiO₂/polytetrafluoroethylene dielectric composite

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Corresponding author: Zhou Jing, zhoujing@whut.edu.cn

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Numerical simulation of thermal and dielectric properties for SiO2/polytetrafluoroethylene dielectric composite

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Corresponding author: Zhou Jing, zhoujing@whut.edu.cn

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Numerical simulation of thermal and dielectric properties for SiO₂/polytetrafluoroethylene dielectric composite