Abstract A novel 3D closed-cell cellular structure with different negative Poisson's ratio under tension and compression was presented. The 3D closed-cell cellular structure was generated by assembling the plane repeat units and sinusoidal wavy sheets units into the frame seamlessly. Four kinds of cellular structures with different responses under tension and compression are introduced. The mechanical properties of the proposed models were investigated. By choosing different repeated units, either positive or negative Poisson's ratio in three orthogonal directions can be achieved. Experiments and numerical simulations results show that the 3D closed-cell cellular structures have different responses under tension and compression loads. Considering material nonlinearities, the numerical results are analyzed using the instantaneous Poisson's ratio. The instantaneous Poisson's ratio can transit from negative to positive as the loads increase in 4 models. The results show that we can predict the auxetic response in a specific direction based on the repeated units that assembled into the frame. This designed structure provides an effective way to achieve a combination of negative, positive or zero Poisson's ratio.

中文翻译：

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3D拉胀闭孔蜂窝结构的机械性能

摘要 提出了一种在拉压下具有不同负泊松比的新型3D闭孔蜂窝结构。3D 闭孔蜂窝结构是通过将平面重复单元和正弦波片单元无缝组装到框架中来生成的。介绍了在拉伸和压缩下具有不同响应的四种蜂窝结构。研究了所提出模型的机械性能。通过选择不同的重复单元，可以实现三个正交方向的正泊松比或负泊松比。实验和数值模拟结果表明，3D 闭孔蜂窝结构在拉伸和压缩载荷下具有不同的响应。考虑材料非线性，数值结果使用瞬时泊松比进行分析。瞬时泊松比可以在 4 个模型中随着负载的增加而从负转变为正。结果表明，我们可以根据组装到框架中的重复单元来预测特定方向的拉胀响应。这种设计的结构提供了一种有效的方式来实现负、正或零泊松比的组合。