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. 2018 Jan 11;8:483. doi: 10.1038/s41598-017-18864-z

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Numerical simulations of the directional wave propagation in kirigami EMM plate. (a) Isotropic flexural wave propagation in a pure Al thin plate. (b) Directional flexural wave propagation in an Al thin plate with the attached kirigami EMM array. The images in the left part of (a) and (b) illustrate geometric configurations, while the right parts show the out-of-plane displacements of the substrate represented in colors. (c) Flexural wave propagations in EMM plate at 2 kHz and 8 kHz.