负泊松比圆弧曲线蜂窝芯结构的力学分析

Mechanical analysis of the circular curve honeycomb core with negative Poisson’s ratio

负泊松比机械超材料独特的力学性能,使其在航空航天、医疗设备、国防工程等领域具有广泛应用前景.文章提出了一种具有负泊松比特性的弧角可变的圆弧曲线蜂窝芯结构,改进了传统内凹六边形蜂窝芯结构的胞元设计.运用能量法给出了不同弧角下圆弧曲线蜂窝芯结构在小形变范围内等效弹性模量和泊松比的理论公式,与有限元结果有较好的吻合度,验证了理论公式的正确性.同时,给出了圆弧曲线弧角,胞元长宽比和杆厚等结构参数对本结构等效弹性模量和泊松比的影响规律.研究结果可为新型负泊松比机械超材料的优化设计及应用提供新的思路.

Mechanical metamaterials with negative Poisson′s ratio have been widely application in the aerospace,armarium,national defence construction and other fields owing to its outstanding mechanical properties.This paper proposes an arc angle changeable circular curve honeycomb core.It optimized the traditional re-entrant auxetic cellular structures.We adopted energy method to figure out the theory formulas of effective elastics modulus and Poisson′s ratio in every feasible arc angle,results of theory formulas and results of finite element simulations are of quite consistent so it approves the correction of the theory formulas.Meanwhile,the effects of the arc angle,the length-width ratio of honeycomb core elements and the thickness of the rod on effective elastic modulus and Poisson ′s ratio are investigated.This paper may fulfill the great potential of mechanical metamaterials with negative Poisson′s ratio.