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Robustly Tuning Bandgaps in Two-Dimensional Soft Phononic Crystals with Criss-Crossed Elliptical Holes

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A Publisher Correction to this article was published on 26 September 2018

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Abstract

Tuning band gaps in soft materials by post-buckling deformation is becoming an appealing means to manipulate elastic waves. As one of the most favorable topologies, two-dimensional soft structures with circular holes have been extensively studied. Based on the contrarian thinking, this paper starts from the two-dimensional soft structures with criss-crossed elliptical holes, which is close to the post-buckling configuration of soft structures with circular holes, and then proposes to tune the band gaps through elongating or stretching rather than compressing. Influences of the loading magnitude and loading pattern (i.e., uniaxial and biaxial elongations) on the band gaps are studied via the nonlinear finite element simulations. Effects of the geometric parameters (the major-to-minor half-axis ratio and the porosity of the structure) are also discussed. It is shown that, compared with the traditional circular hole case, the band gaps of the unloaded structure with criss-crossed elliptical holes are much richer, and they could be reversely and continuously tuned by tensile loadings. In particular, the deformation is very robust and is insensitive to small geometric imperfections, which is always necessary for triggering the post-buckling deformations. The present work provides a useful reference to the manipulation of elastic waves in periodic structures as well as the design of soft phononic crystals/acoustic devices.

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  • 26 September 2018

    The original version of this article unfortunately contained mistakes.

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (11532001, 11621062). Partial support from the Fundamental Research Funds for the Central Universities (No. 2016XZZX001-05) is also acknowledged. The work was also supported by the Shenzhen Scientific and Technological Fund for R & D (No. JCYJ20170816172316775).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China

    Nan Gao, Yi-lan Huang, Rong-hao Bao & Wei-qiu Chen

  2. State Key Lab of CAD & CG, Zhejiang University, Hangzhou, 310058, China

    Wei-qiu Chen

  3. Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou, 310027, China

    Rong-hao Bao & Wei-qiu Chen

  4. Soft Matter Research Center, Zhejiang University, Hangzhou, 310027, China

    Wei-qiu Chen

Authors
  1. Nan Gao
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  2. Yi-lan Huang
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  3. Rong-hao Bao
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  4. Wei-qiu Chen
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Corresponding authors

Correspondence to Rong-hao Bao or Wei-qiu Chen.

Additional information

The original version of this article was revised: The original version of this article unfortunately contained mistakes. Due to typesetting errors in Figure 5, figure parts (a) and (b) and parts (d) and (e) were in the wrong order. The same applies to Figure 12, parts (a) and (b).

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Gao, N., Huang, Yl., Bao, Rh. et al. Robustly Tuning Bandgaps in Two-Dimensional Soft Phononic Crystals with Criss-Crossed Elliptical Holes. Acta Mech. Solida Sin. 31, 573–588 (2018). https://doi.org/10.1007/s10338-018-0044-4

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  • DOI: https://doi.org/10.1007/s10338-018-0044-4

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