Isogeometric analysis of functionally graded CNT-reinforced composite plates based on refined plate theory
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DOI 10.1007/s12206-020-0821-0
Journal of Mechanical Science and Technology 34 (9) 2020 Original Article DOI 10.1007/s12206-020-0821-0 Keywords: · Carbon nanotube-reinforced composites · Isogeometric analysis · Refined plate theory · Bending · Free vibration · Buckling
Correspondence to: Guifang Duan [email protected]
Citation: Liu, Z., Wang, C., Duan, G., Tan, J. (2020). Isogeometric analysis of functionally graded CNT-reinforced composite plates based on refined plate theory. Journal of Mechanical Science and Technology 34 (9) (2020) 3687~3700. http://doi.org/10.1007/s12206-020-0821-0
Isogeometric analysis of functionally graded CNT-reinforced composite plates based on refined plate theory Zhenyu Liu, Chuang Wang, Guifang Duan and Jianrong Tan State Key Laboratory of Fluid Power & Mechatronic Systems, Zhejiang University, Hangzhou 310027, China
Abstract
A simple and effective approach based on refined plate theory (RPT) is proposed to study the static and free vibration characteristics of functionally graded CNTreinforced composite (FG-CNTRC) plates. Compared to traditional higher order shear deformation theories (HSDTs), the proposed method shows more efficient for FG-CNTRC plates analysis. To solve the C1-continuity requirement of the RPT, we used isogeometric analysis (IGA) to approximate the displacement field, which shows more advantages than the FEA, since it can construct higher-order elements without additional variables. This is an advantage for plate structural analysis because more variables make the calculation cumbersome. Finally, four types of FG-CNTRC plates were investigated and the results show the accuracy and efficiency of the proposed method.
Received January 14th, 2020 Revised
May 30th, 2020
Accepted June 28th, 2020 † Recommended by Editor Seungjae Min
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
1. Introduction Carbon nanotubes (CNTs) have been the focus of considerable research since their first observation by Iijima [1]. Numerous studies have shown that CNTs have remarkable physical and mechanical properties [2-5]. A new type of material, functionally graded CNT-reinforced composite (FG-CNTRC), has been developed by the combination of CNTs as fiber reinforcements into functionally graded materials (FGMs). It shows much better mechanical, thermal, and electrical properties than those of traditional FGMs [6-9]. Because of the inhomogeneity of the material, the shear stress is very important in the analysis of FG-CNTRC plates. However, classic plate theory (CPT) and first shear deformation theory (FSDT) are not suitable for the analysis of the FG-CNTRC plates, since the former neglects the shear stress, while the latter takes the shear stress through the plate thickness as a constant. To solve those problems, researchers developed higher order shear deformation theory (HSDT) [10], using higher order polynomial functions to approximate shear deformation through the plate thickness. This theory has a good performance in li
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