箭镞型负泊松比蜂窝结构力学性能分析

Mechanical property of an arrowhead-shaped honeycomb structures with negative Poisson's ratio

  • 摘要: 负泊松比蜂窝结构因其优异的能量吸收和抗凹陷性能受到广泛关注,然而,现有负泊松比蜂窝结构通常伴随较高的等效弹性模量,限制了其在需要高柔韧性和大变形场景的应用。本文提出一种箭镞型的新型负泊松比蜂窝结构,基于能量法推导了该结构的等效拉伸模量、泊松比和等效密度的理论模型,并探讨了不同几何参数对其等效力学性能的影响规律。通过系统的有限元分析和准静态拉伸试验对所建立的理论模型进行了严格验证,结果高度吻合。结果表明,同等相对等效密度下,该新型结构等效弹性模量仅为经典内凹六边形蜂窝结构的5.34%。这种独特的低模量-负泊松比特性组合,使该新型蜂窝结构在柔性电子与可穿戴设备、变体机翼、软体机器人以及需要低刚度生物力学匹配等领域具有突出的应用潜力。

     

    Abstract: Honeycombs with negative Poisson's ratio (NPR) have garnered significant attention due to their exceptional energy absorption and anti-indentation properties. However, existing NPR structures are typically characterized by high equivalent elastic moduli, limiting their applicability in scenarios demanding high flexibility and large deformations. This paper proposes a novel arrowhead-shaped NPR honeycomb structure. Utilizing the energy method, the theoretical expressions for its equivalent tensile modulus, Poisson's ratio, and equivalent density were derived. Furthermore, the influence of various geometric parameters on its equivalent mechanical properties is systematically investigated. The established theoretical model undergoes rigorous validation through systematic finite element analysis and quasi-static tensile testing, with results demonstrating highly consistent agreement. Results show that the equivalent elastic modulus of this novel structure is only 5.34% of that of the classic re-entrant hexagonal honeycomb structures. This unique combination of low modulus and negative Poisson's ratio properties endows the proposed honeycomb structure with outstanding application potential in fields such as flexible structure, deployable structures, and biomedical scaffolds.

     

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