A stiff tubular cellular structure topology is designed by alternatively indenting rectangular contour patterns on the cell ribs. Modified topologies can be obtained by tailoring the geometric parameters. The Poisson's ratios and elastic moduli of the proposed tubular structures with various geometric parameters are determined using finite element method (FEM). Results show that the minimum Poisson's ratio of the proposed structures can reach −0.28. The unit cell topology and orientation can significantly affect the structures deformation behaviors. The structures exhibit mixed mode of bending‐ and stretching‐dominated deformation responses, and show improved specific elastic moduli compared with traditional open‐cell stochastic foams with positive Poisson's ratios. 3D‐printed samples with identical geometric variables to those of the FE models are fabricated, and their Poisson's ratios and stress–strain relationships are determined experimentally, and compared with simulation results. Excellent agreement is achieved between measurements and simulations. The design concept proposed here can be optimized for specific applications via geometric parameters manipulation.

中文翻译：

---

具有负泊松比和高刚度的新型管状结构

通过交替地在细胞肋上压入矩形轮廓图案来设计刚性管状细胞结构拓扑。可以通过调整几何参数来获得修改后的拓扑。使用有限元方法（FEM）确定具有各种几何参数的拟建管状结构的泊松比和弹性模量。结果表明，所提出结构的最小泊松比可以达到-0.28。晶胞的拓扑结构和方向会显着影响结构的变形行为。与具有正泊松比的传统开孔随机泡沫相比，该结构表现出以弯曲和拉伸为主的变形响应的混合模式，并显示出改善的比弹性模量。制作了具有与FE模型相同的几何变量的3D打印样品，并通过实验确定了它们的泊松比和应力-应变关系，并将其与仿真结果进行了比较。测量和仿真之间实现了极好的一致性。此处提出的设计概念可以通过几何参数操作针对特定应用进行优化。