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A high-accuracy continuous shear stress multilayered plate model for FG-CNTRC structures

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Abstract

Without regarding interlayer continuity of transverse shear stresses in the displacement expressions, traditional higher-order plate theories have difficulty in predicting continuous shear stress fields accurately for multilayered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates with independent CNT distributions in each layer. In this paper, a new higher-order continuous shear stress multilayered plate model is developed for high-accuracy analysis of FG-CNTRC plates. In the theoretical formulation, higher-order interpolation functions and piecewise descriptions are adopted for transverse shear stress fields. By fulfilling the interlayer continuity of shear stresses and displacements, the displacement expressions for FG-CNTRC plates are formulated. The accuracy of the proposed model is determined by two kinds of parameters: the order of assumed transverse shear stress fields and the number of subdivisions. Compared with traditional higher-order theories, the proposed model can accurately predict continuous transverse shear stresses for FG-CNTRC plates with different CNT configurations by constitutive relations directly. Additionally, a four-node rectangular plate element associated with the proposed model is formulated. Results show that the proposed model agrees well with the exact solutions and results from ANSYS. With the same amount of calculation, the proposed higher-order model has higher accuracy than the model with more subdivisions, especially for asymmetric plates with discontinuous CNT ply angle.

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Acknowledgements

This research project is supported by the National Key Research and Development Program of China (2020YFB1709403) and the National Natural Science Foundation of China (U1508209, 11072049). The authors would like to acknowledge the support of these funds.

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  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Bowei Huang, Yingjian Fu & Guozhong Zhao

  2. School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei, 230009, People’s Republic of China

    Shanhong Ren

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Huang, B., Ren, S., Fu, Y. et al. A high-accuracy continuous shear stress multilayered plate model for FG-CNTRC structures. Acta Mech 234, 553–575 (2023). https://doi.org/10.1007/s00707-022-03382-5

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