负泊松比内凹环形蜂窝结构的冲击响应特性研究

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摘要为了降低最大峰值应力和维持良好的冲击载荷一致性，在内凹六边形蜂窝(CHH)的基础上，基于机械超材料的设计理念，提出了一种新型负泊松比内凹环形蜂窝(RCH)结构模型。利用显式动力有限元方法，研究了面内冲击载荷作用下胞元微结构对该内凹环形蜂窝材料的变形行为、动态冲击应力和能量吸收特性的影响。研究结果表明，除了冲击速度和相对密度，内凹环形蜂窝结构的冲击动力学响应还依赖于胞元微结构。在中低速冲击作用下，内凹环形蜂窝亦表现出明显的负泊松比效应；与传统内凹六边形蜂窝不同，在相同冲击速度下，内凹环形蜂窝的最大峰值应力明显降低，并且具有良好的冲击载荷一致性。基于一维冲击波理论，还给出了内凹环形蜂窝材料的动态平台应力经验公式，理论计算结果和有限元结果吻合较好。

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	沈振峰1
	张新春1
	白江畔1
	吴鹤翔2

关键词 ：负泊松比, 内凹环形蜂窝, 冲击响应, 能量吸收, 微结构

Abstract：In order to reduce the maximum peak stress and maintain better load uniformity, a novel re-entrant circular honeycomb (RCH) model with negative Poisson's ratio (NPR) was proposed according to the concave hexagonal honeycomb (CHH) based on the design concept of mechanical metamaterials. Using explicit dynamic finite element analysis (DFEA), the influence of cell micro-structures on the deformation behaviors, dynamic impact strengths and energy absorption abilities of the re-entrant circular honeycombs was numerically studied under in-plane impact loading. Research results show that apart from the impact velocity and the relative density, the dynamic crushing properties of RCHs also depend upon the cell micro-structure parameters. Under low and moderate impact velocities, the RCHs show the remarkable negative Poisson's ratio effect of auxetic material. However, unlike the conventional concave hexagonal honeycombs, the maximum peak stresses of the RCHs decrease obviously at the same impact velocity. Moreover, it has good impact load uniformity. Based on the one-dimensional (1D) shock wave theory, the empirical formula of the dynamic plateau stress for RCH was given, and the theoretical results are in good agreement with the finite element (FE) model results.

Key words： negative Poisson's ratio (NPR) re-entrant circular honeycomb impact response energy absorption micro-structure

收稿日期: 2019-04-12 出版日期: 2020-09-15

引用本文:

沈振峰1，张新春1，白江畔1，吴鹤翔2. 负泊松比内凹环形蜂窝结构的冲击响应特性研究[J]. 振动与冲击, 2020, 39(18): 89-95.
SHEN Zhenfeng1，ZHANG Xinchun1，BAI Jiangpan1，WU Hexiang2. Dynamic response characteristics of re-entrant circular honeycombs with negative Poisson’s ratio. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(18): 89-95.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I18/89

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