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Pentamodal behaviors and acoustic bandgaps of asymmetric pentamode elastic metamaterials

School of Science, Key Laboratory of Shaanxi for Advanced Materials and Mesoscopic Physics, State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, P. R. China

E-mail Address: huangyan0725@stu.xjtu.edu.cn

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Xuegang Lu

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Gongying Liang

E-mail Address: gyliang@mail.xjtu.edu.cn

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, and

Zhuo Xu

Electronic Materials Research Laboratory, Key Laboratory of the Ministry of Education & International Center for Dielectric Research, Xi’an Jiaotong University, Xi’an 710049, P. R. China

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https://doi.org/10.1142/S0217979216501186Cited by:4 (Source: Crossref)

Abstract

The asymmetric pentamode metamaterial structure which is built by connecting double-cones with different cross-section shapes (regular triangle, square, pentagon and hexagon) to form diamond lattice is proposed in this paper. Then its phonon band structure is calculated by finite-element method (FEM), and its pentamodal behaviors and acoustic bandgaps are studied in detail. Results show that in the process of adjusting geometrical parameters, the asymmetric case performs similar pentamodal behaviors [ratio of bulk modulus to shear modulus $B / G$ $B / G$ and single-mode bandgap (SBG)] with the symmetric cases. And the asymmetric case not only remains the intrinsic complete bandgap (CBG) of mode 12-13 like symmetric cases, but also opens new and wide CBG of mode 10-11 and mode 14-15 for appropriate parameters. Therefore, introducing structural asymmetry should be an effective way to open CBG in pentamode elastic metamaterials.

Keywords:

PACS: 62.20.de, 62.30.+d, 63.20.-D

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References

1. O. Sigmund, Mech. Mater. 20, 351 (1995). Web of Science, Google Scholar
2. G. W. Milton and A. Cherkaev, J. Eng. Mater. Technol. 117, 483 (1995). Web of Science, Google Scholar
3. M. Kadic et al., Rep. Prog. Phys. 76, 126501 (2013). Web of Science, ADS, Google Scholar
4. J. Christensen et al., MRS Commun. 5 453 (2015). Web of Science, Google Scholar
5. T. Bückmann et al., Nat. Commun. 5, 4130 (2014). Web of Science, ADS, Google Scholar
6. M. Kadic et al., Phil. Trans. R. Soc. A 373, 20140357 (2015). Web of Science, ADS, Google Scholar
7. M. Kadic et al., New J. Phys. 15, 023029 (2013). Web of Science, Google Scholar
8. G. W. Milton, M. Briane and J. R. Willis, New J. Phys. 8, 248 (2006). Web of Science, Google Scholar
9. M. Brun, S. Guenneau and A. B. Movchan, Appl. Phys. Lett. 94, 061903 (2009). Web of Science, Google Scholar
10. A. N. Norris, J. Acoust. Soc. Am. 125, 839 (2009). Web of Science, ADS, Google Scholar
11. M. Kadic et al., Appl. Phys. Lett. 100, 191901 (2012). Web of Science, ADS, Google Scholar
12. A. Martin et al., Phys. Rev. B 86, 155116 (2012). Web of Science, ADS, Google Scholar
13. R. Schittny et al., Appl. Phys. Lett. 103, 231905 (2013). Web of Science, ADS, Google Scholar
14. C. Cai et al., J. Phys. D: Appl. Phys. 48, 175103 (2015). Web of Science, ADS, Google Scholar
15. G. F. Méjica and A. D. Lantada, Smart Mater. Struct. 22, 115013 (2013). Web of Science, ADS, Google Scholar
16. N. Aravantinos-Zafiris, M. M. Sigalas and E. N. Economou, J. Appl. Phys. 116, 133503 (2014). Web of Science, ADS, Google Scholar
17. A. N. Norris, Proc. R. Soc. A 464, 2411 (2008). ADS, Google Scholar
18. N. H. Gokhale, J. L. Cipolla and A. N. Norris, J. Acoust. Soc. Am. 132, 2932 (2012). Web of Science, ADS, Google Scholar
19. Y. Chen, X. Liu and G. Hu, Sci. Rep. 5, 15745 (2015). Web of Science, ADS, Google Scholar
20. X. Zhang et al., Acta Phys. Sin. 64, 134303 (2015). Web of Science, Google Scholar
21. Y. Huang et al., Phys. Lett. A 380, 1334 (2016). Web of Science, ADS, Google Scholar
22. X. Li et al., J. Phys. D: Appl. Phys. 36, L15–L17 (2003). Web of Science, ADS, Google Scholar