Abstract This paper describes the mechanical properties of the three-dimensional(3D) double-V honeycomb intersected by a two-dimensional double-V structure with negative Poisson's ratio. Considering the effect of the adjacent unit cells, the Poisson's ratio and Young's modulus of the honeycomb under axial loading are derived theoretically. The finite element (FE)model of the 3D double-V honeycomb (DVH) is conducted to verify the theoretical solutions. It is found that the constraint of the adjacent cells does not affect the negative Poisson's ratio but enhance Young's modulus a lot, and the two properties are determined by the stuffer/tensor angles. Then, the prototypes of the 3D DVH is manufactured to carry out the quasi-static experiments. The stiffness and the collapse stress of the theoretical, numerical and experimental solutions are compared, and it is evident that these results agree very well which indicates the analyses of these solutions are convinced. And the quasi-static collapse stress increases with the increment of tensor angle θ1 and the reduction of stuffer angle θ2.

中文翻译：

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三维双V蜂窝的理论、数值和实验分析

摘要 本文描述了与具有负泊松比的二维双 V 结构相交的三维 (3D) 双 V 蜂窝的力学性能。考虑相邻晶胞的影响，从理论上推导出蜂窝在轴向载荷下的泊松比和杨氏模量。进行 3D 双 V 蜂窝 (DVH) 的有限元 (FE) 模型以验证理论解。发现相邻单元的约束不影响负泊松比，但大大提高了杨氏模量，这两种性质由填充角/张量角决定。然后，制造 3D DVH 的原型以进行准静态实验。理论的刚度和坍塌应力，比较了数值解和实验解，很明显，这些结果非常吻合，这表明对这些解的分析是可信的。准静态坍塌应力随着张量角θ1的增大和填充角θ2的减小而增大。