Dynamic response analysis of three-dimensional U-shaped negative Poisson's ratio periodic structures
Feng Guo, X. Hu, Tao Fu
Abstract
Negative Poisson's ratio (NPR) metamaterials exhibit unique mechanical properties, which offer significant advantages and broader application prospects than traditional materials. In recent years, there has been a lot of research on two-dimensional (2D) NPR metamaterials, but little attention has been paid to three-dimensional (3D) NPR metamaterials. Therefore, based on the 2D V-shaped NPR metamaterial, this paper proposes a 3D U-shaped periodic NPR metamaterial and applies it to the modeling of lightweight sandwich plates, followed by a study on its dynamic response. By using ABAQUS finite element analysis software, we established the dynamic response model of sandwich plate structure under different impact velocities , and carried out quasi-static compression experiment by electronic universal testing machine to validate the accuracy and effectiveness of the finite element model(FEM). The experimental samples of aluminum material are fabricated by metal sintering 3D printer. A systematic analysis was subsequently carried out by means of finite element modeling and found that the energy absorption of the U-shaped structure in the y-axis direction is stronger than that of the V-shaped structure. When entering the stage of plateau stress enhancement, the energy absorption effect of U-shaped structure is stronger. In the low-velocity and medium-velocity impact ranges, the plateau stress is 7.5% greater in the y-axis direction and 37% greater in the x-axis direction for U-shaped than for V-shaped at the impact end. Meanwhile,in the high-velocity impact ranges, the plateau stress is 15.4% greater in the y-axis direction and 38% greater in the x-axis direction for U-shaped than for V-shaped at the stationary end. Moreover, in the high-velocity impact range, the maximum plateau stress in the x-axis direction of the U-shaped structure at the stationary end is 93% higher than that of the V-shaped structure. In addition, the best energy absorption is achieved with k = 2.05 at high-velocity impacts.