三维内凹板状负泊松比点阵结构抗冲击力学特性

Impact mechanical properties of three-dimensional reentrant plate-shaped negative Poisson’s ratio lattice structures

  • 摘要: 负泊松比点阵结构是一种具有周期性微结构、力学性能可调可控的机械超材料。本文通过将板状结构与内凹六边形几何构型相结合,设计了一种新型三维内凹板状负泊松比点阵结构(Three-dimensional Reentrant Plate-Shaped NPR Lattice Structures, 3D-RPLS)。采用3D打印制备了实验样件,开展了基材和负泊松比点阵结构准静态力学实验,针对实验进行了有限元数值模拟,数值模拟结果与实验结果一致性较好。进一步系统地研究了冲击速度、几何参数对3D-RPLS抗冲击力学行为的影响,并推导了低速/高速冲击下结构的平台应力理论解,理论结果与有限元数值模拟结果吻合较好。研究结果表明:与典型蜂窝结构相比,3D-RPLS具有更加优异的力学性能;随着冲击速度提高,3D-RPLS变形模式由整体内凹变形转变为局部变形,最终转变为逐层坍塌变形;3D-RPLS平台应力与比吸能均与冲击速度呈现正相关。几何参数 \alpha 、 \beta 和 \theta 对3D-RPLS抗冲击特性的影响各不相同,平台应力和比吸能均与 \beta 和 \theta 呈现正相关,平台应力与 \alpha 呈现负相关,比吸能随着 \alpha 的增大先增后减。

     

    Abstract: Negative Poisson’s ratio lattice structures are mechanical metamaterials with a periodic microstructure and tunable, controllable mechanical properties. A new three-dimensional reentrant plate-shaped negative Poisson's ratio lattice structures was designed by combining plate-shaped structures with an reentrant hexagonal geometry in this paper (3D-RPLS). Experimental samples were fabricated using 3D printing, and quasi-static mechanical tests were conducted on the base material and negative Poisson's ratio lattice structure. Finite element simulations were performed based on the experiments. The simulations are in good agreement with the experimental results. The effects of impact velocity and geometric parameters on the impact resistance behavior of 3D-RPLS were further systematically studied. A theoretical solution for the plateau stresses under low and high-speed impacts was derived. The theoretical results show good agreement with the finite element simulation results. The research results show that compared to conventional honeycomb structures, the 3D-RPLS demonstrate superior mechanical properties. As the impact velocity increases, the deformation mode of the 3D-RPLS transition from overall reentrant deformation to localized deformation, and eventually to layer-by-layer collapse. Both the plateau stresses and specific energy absorption of the 3D-RPLS show a positive correlation with the impact velocity. The effects of the geometric parameters α, β, and θ on the impact resistance properties of the 3D-RPLS are different. Both plateau stresses and specific energy absorption are positively correlated with β and θ. Plateau stresses are negatively correlated with α. Specific energy absorption increases with α and then decreases.

     

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