Voigt 模型可以直接用于确定层压薄膜中石墨烯的模量吗？,ACS Applied Polymer Materials

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Voigt 模型可以直接用于确定层压薄膜中石墨烯的模量吗？
ACS Applied Polymer Materials ( IF 4.4 ) Pub Date : 2021-12-21 , DOI: 10.1021/acsapm.1c01328
Zacary L. Croft ₁ , Zhen Xu ₁ , Ke Cao ₂ , Dong Guo ₁ , Saran Sreeharikesan ₃ , Connor Thompson ₃ , Gabriel Zeltzer ₄ , Guoliang Liu _{1,

2,

3}

Affiliation

将聚合物与单层石墨烯 (SLG) 相结合的层压薄膜复合材料重量轻，并显示出极好的机电强度。复合材料的机械强度可以通过弹性微机械模型来描述，例如 Voigt 混合规则。然而，聚合物和 SLG 之间的增强行为引发了关于此类模型在纳米级层压复合材料中的有效性的问题。在这里，我们制造了聚醚酰亚胺和 SLG (PEI/SLG) 的层压薄膜，具有不同的 SLG (φ _g ) 体积分数作为模型系统，以使用混合规则评估有效增强。复合材料杨氏模量 ( E _c ) 与 φ _{g的线性回归分析}揭示了出乎意料的高效杨氏模量的大面积多晶 SLG，E _g = 1.12 ± 0.05 TPa。使用 Voigt-Poisson 模型对理论和实验E _{c的进一步分析表明，对于 φ}_g ≥ 0.11 vol %的薄膜， E _g ∼ 0.9 TPa 的最大值较低。我们的结果表明，对于层压薄膜复合材料，理想的混合规则仅在超过 φg 的临界值时才被遵循_，这解释了文献中报道的Eg的广泛_不一致。这些知识将指导具有近乎理想机械增强的层压聚合物-石墨烯薄膜的制造。

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Can the Voigt Model be Directly Used for Determining the Modulus of Graphene in Laminate Thin Films?

Laminate thin-film composites that couple polymers with single-layer graphene (SLG) are lightweight and have shown superb electromechanical strength. The mechanical strengths of the composites can be described by elastic micromechanical models such as the Voigt mixing rule. However, the reinforcement behavior between polymer and SLG has raised questions about the validity of such models in laminate composites at the nanoscale. Herein, we have fabricated laminate thin films of poly(ether imide) and SLG (PEI/SLG) with varying volume fractions of SLG (ϕ_g) as a model system to evaluate the effective reinforcement using the mixing rule. Linear regression analysis of the Young’s modulus of the composite (E_c) versus ϕ_g revealed an unexpectedly high-effective Young’s modulus of large-area, polycrystalline SLG, E_g = 1.12 ± 0.05 TPa. Further analysis of theoretical and experimental E_c using the Voigt–Poisson model showed a lower maximum value of E_g ∼ 0.9 TPa for films with ϕ_g ≥ 0.11 vol %. Our results show that an ideal mixing rule is followed only beyond a critical value of ϕ_g for laminate thin-film composites, which explains the wide inconsistency of E_g reported in the literature. This knowledge will guide the fabrication of laminate polymer–graphene thin films with near-ideal mechanical reinforcement.

更新日期：2022-01-14

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