压电集成碳纳米管CNT增强功能梯度结构非线性建模与仿真

The distribution of carbon nanotube (CNT) reinforcements in fundamental material may form functionally graded CNT structures (FG-CNT). To simulate the FG-CNT structures at large deformation, four typical CNT distribution patterns were considered, i. e., uniform, V-shaped, O-shaped and X-shaped. A geometrically nonlinear model was built based on the plate and shell theory of Reissner-Mindlin hypothesis. The nonlinear model includes not only the fully geometrically nonlinear strain-displacement relations, but also the large rotations of the shell structure in normal direction. The proposed approach was first validated through the comparison with the literature results. Then, it was applied to solve the large deformations of FG-CNT reinforced composite structures, aiming at the study of the impact of CNT on the stiffness design of composite plates. The results illustrate that the CNT distributions and reinforcement orientations have a remarkable influence on the mechanical properties of FG-CNT composite plates.