Dynamic response characteristics of re-entrant circular honeycombs with negative Poisson&rsquo;s ratio

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (18) : 89-95.

Dynamic response characteristics of re-entrant circular honeycombs with negative Poisson’s ratio

SHEN Zhenfeng1，ZHANG Xinchun1，BAI Jiangpan1，WU Hexiang2

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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.

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

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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[J]. Journal of Vibration and Shock, 2020, 39(18): 89-95

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