In this paper, a new design of auxetic honeycomb is proposed for mechanical performance enhancement by combining the arc-shaped wall and the normal double-arrowed auxetic configuration. On basis of Mohr's 2nd theorem and Castigliano 2nd theorem, an analytical model considering strut bending and stretching is developed to modulate the in-plane mechanical properties of the proposed honeycomb with the geometric parameters. Further, an integrated experimental, simulation and theoretical approach is carried out to investigate its elastic properties and Poisson's ratios in a wide range. The comparison shows that the theoretical results are in good agreement with the experimental and simulation results, verifying the established analytical model. The results reveal that both the in-plane modulus and the Poisson's ratio of the proposed auxetic honeycomb are simultaneously improved compared to the typical double-arrowed and the re-entrant hexagonal designs, and show high and diverse dependencies on the geometric parameters. Additionally, the honeycomb features a stiffer modulus and stronger auxeticity along y direction than that along x direction when the arc angle of “bone”, ${\theta }_1$, not exceeding a “turning point”. The present design may provide an extensive reference for the design and application of mechanical meta-materials.

在本文中，提出了一种新的拉胀蜂窝设计，通过结合弧形壁和正常的双箭头拉胀配置来提高机械性能。在莫尔第二定理和卡斯蒂利亚诺第二定理的基础上，建立了一个考虑支柱弯曲和拉伸的分析模型，以利用几何参数调节所提出蜂窝的面内力学性能。此外，还进行了综合实验、模拟和理论方法，以研究其弹性特性和泊松比在广泛的范围内。对比表明，理论结果与实验和仿真结果吻合较好，验证了所建立的解析模型。结果表明，面内模量和与典型的双箭头和重入六边形设计相比，所提出的拉胀蜂窝的泊松比同时得到改善，并显示出对几何参数的高度多样的依赖性。此外，当“骨”的弧角时，蜂窝沿 y 方向比沿 x 方向具有更硬的模量和更强的拉胀性，${\theta }_1$，不超过“转折点”。本设计可为机械超材料的设计和应用提供广泛的参考。