Nonlinear Modeling and Simulation of Carbon Nanotube Fiber Reinforced Composite Plate
(2.State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, China 116024)
【Abstract】To achieve an accurate calculation of carbon nanotube (CNT) fiber reinforced functionally graded composite plates in the case of large deformation, we developed a large rotation nonlinear finite element model for the CNT composite plates based on the first-order shear deformation (FOSD) hypothesis and the Hamilton’s principle, which not only includes the fully geometrically nonlinear strain-displacement relations but also considers the large rotation of the shell director of plates. The model is first verified by the data in the reference. The geometrically nonlinear model is then applied to calculate and analyze four different CNT distributions, i.e., uniform, O-shaped, V-shaped and X-shaped distributions. The effects of the CNT volume fraction, the CNT distribution, width-to-thickness ratio and loading of CNT fiber reinforced functional gradient composite plates. The investigations show that a large volume fraction of CNT indicates a high stiffness of the composite plate; for the same volume fraction, the stiffness of X-shaped CNT plate is the largest, followed by uniform and V-shaped, and O-shaped CNT plate is the weakest. Finally, the model provides a reference for the engineering application of CNT fiber reinforced functionally graded composite plates.
【Keywords】 carbon nanotubes ; functional gradient materials; geometrically nonlinear; first order shear deformation;
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