Numerical analysis on mechanical behaviors of hierarchical cellular structures with negative Poisson's ratio
Numerical analysis on mechanical behaviors of hierarchical cellular structures with negative Poisson's ratio
复制标题
负泊松比分级细胞结构力学行为的数值分析
DOI：
10.1088/1361-665x/26/2/025014
复制
发表时间：
2017-02-01
影响因子：
4.1
通讯作者：
Lakes, Roderic S.
中科院分区：
文献类型：
--
作者：
Li, Dong;Yin, Jianhua;Lakes, Roderic S.
设计了二维分层凹进蜂窝结构，并采用有限元方法研究了其力学性能。通过用具有相同支柱纵横比的较小凹入六边形替换低阶（n - 1）层次凹入结构的每个顶点来构造n阶（n >= 1）层次凹入结构。研究了不同压缩速度下不同层次结构的泊松比和能量吸收能力。结果表明，在适当的长径比下，一级和二级分级结构的泊松比分别可达-1.36和-1.33，比零级分级结构的泊松比分别降低13.8%和12.1%。三种模型的能量吸收能力随着压缩速度的增加而增加;二阶分层结构的能量吸收能力随着压缩速度的增加而增加的速率最高。一级和二级分级结构的平台应力略低于零级分级结构，但二级分级结构在高压缩速度（60 m s（-1））下表现出最高的能量吸收能力。
Two-dimensional hierarchical re-entrant honeycomb structures were designed and the mechanical behaviors of the structures were studied using a finite element method. Hierarchical re-entrant structure of order n (n >= 1) was constructed by replacing each vertex of a lower order (n - 1) hierarchical re-entrant structure with a smaller re-entrant hexagon with identical strut aspect ratio. The Poisson's ratio and energy absorption capacity of re-entrant structures of different hierarchical orders were studied under different compression velocities. The results showed that the Poisson's ratio of the first and second order hierarchical structures can reach -1.36 and -1.33 with appropriate aspect ratio, 13.8% and 12.1% lower than that of the zeroth order hierarchical structure. The energy absorption capacity of the three models increased with an increasing compression velocity; the second order hierarchical structure exhibited the highest rate of increase in energy absorption capacity with an increasing compression velocity. The plateau stresses of the first and second order hierarchical structures were slightly lower than that of the zeroth order hierarchical structure; however the second order hierarchical structure exhibited the highest energy absorption capacity at high compression velocity (60 m s(-1)).