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Strong re-entrant cellular structures with negative Poisson’s ratio

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Abstract

In this paper, two new 2D re-entrant topologies with negative Poisson’s ratio are presented and their mechanical properties (Poisson’s ratio and energy absorption capacity) are studied using finite element method as a function of geometric parameters. The first topology (model 1) was constructed by adding two sinusoidal-shaped ribs into the classical re-entrant topology, while the second topology (model 2) was made by introducing extra vertical ribs to reinforce the sinusoidal-shaped ribs. Simulation results show that model 1 and model 2 topologies can reach a minimum value in Poisson’s ratio of − 1.12 and − 0.58 with an appropriate geometric aspect ratio, respectively. The energy absorption capacities of model 1, model 2 and classical re-entrant model were studied at various compression velocities. Enhanced energy absorption capacities were observed in the two new re-entrant topologies compared with the classical re-entrant topology. Model 2 exhibited the highest energy absorption capacity and a highest plateau stress. The plateau stress of model 1 was about half that of model 2, and when the compression velocity is more than 20 m/s, the plateau stress of model 1 became lower than that of the classical re-entrant model.

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Acknowledgements

This work is supported by “The Fundamental Research Funds for the Central Universities (N150504006)”.

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Authors and Affiliations

  1. College of Sciences, Northeastern University, Shenyang, 110819, People’s Republic of China

    Dong Li

  2. Institute of Engineering Mechanics, China Earthquake Administration, Harbin, 150080, People’s Republic of China

    Jianhua Yin

  3. Materials Science and Engineering, University of Virginia, Charlottesville, VA, 22904, USA

    Liang Dong

  4. Department of Engineering Physics, University of Wisconsin, Madison, WI, 53706-1687, USA

    Roderic S. Lakes

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  1. Dong Li
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  2. Jianhua Yin
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  3. Liang Dong
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  4. Roderic S. Lakes
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Correspondence to Dong Li.

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Authors declare that no conflicting interests affected this research. Authors declare that no conflicting interests affected the objective presentation and description of results.

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Li, D., Yin, J., Dong, L. et al. Strong re-entrant cellular structures with negative Poisson’s ratio. J Mater Sci 53, 3493–3499 (2018). https://doi.org/10.1007/s10853-017-1809-8

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