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Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity

機譯:利用彈性理論對嵌入壓電層的功能梯度碳納米管增強復合板的靜態(tài)分析

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摘要

Based on three-dimensional theory of elasticity, bending behavior of functionally graded carbon nano-tube reinforced composite (FG-CNTRC) plate embedded in thin piezoelectric layers subjected to mechanical uniform load with simply supported boundary conditions is investigated. By using Fourier series expansion along the longitudinal and latitudinal directions and state space technique across the thickness direction closed form solution is derived. Accuracy and convergence of the presents approach, is validated by comparing the numerical results with the published numerical results in the literature. In addition, the effects of volume fraction of CNT, two case of FG-CNTRC, piezoelectric layer thickness, length to thickness ration and modes number on the static behavior of the hybrid plate are also examined.
機譯:基于三維彈性理論,研究了功能梯度碳納米管增強復合材料(FG-CNTRC)板在簡單支撐邊界條件下承受機械均勻載荷的壓電薄層中的彎曲行為。通過使用沿縱向和橫向方向的傅立葉級數(shù)展開以及沿厚度方向閉合形式的狀態(tài)空間技術,得出了解決方案。通過將數(shù)值結果與文獻中已發(fā)表的數(shù)值結果進行比較,驗證了本方法的準確性和收斂性。此外,還研究了CNT的體積分數(shù),F(xiàn)G-CNTRC的兩種情況,壓電層厚度,長度與厚度之比和模數(shù)對混合板靜態(tài)性能的影響。

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