Topological elastic interface states in hyperuniform pillared metabeams

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Runcheng Cai
  • Yan Pennec
  • Laurent Carpentier
  • Yabin Jin
  • Timon Rabczuk
  • Xiaoying Zhuang
  • Bahram Djafari-Rouhani

Research Organisations

External Research Organisations

  • Tongji University
  • Lille 1 University of Science and Technology
  • Bauhaus-Universität Weimar
View graph of relations

Details

Original languageEnglish
Article number011121
Number of pages11
JournalAPL materials
Volume12
Issue number1
Publication statusPublished - 23 Jan 2024

Abstract

Topological states have been receiving a great deal of interest in various wave problems, such as photonic, acoustic, and elastic waves. However, few studies of topological elastic waves in non-periodic systems have been reported. Recently, hyperuniform systems suppressing long-range order while partly maintaining short-range order have provided new opportunities to control waves. In this work, we study the elastic topological interface states appearing between two Su-Schrieffer-Heeger (SSH)-like pillared metabeams where each metabeam, is constituted by a mirror symmetric hyperuniform structure. The SSH-like model is constructed by combining two hyperuniform metabeams with inverted configurations. We demonstrate that this structure could open new bandgaps at low frequencies, of which some are nontrivial and can support topological interface modes. We further show that the number of low-frequency bandgaps supporting the topological modes increases with the level of randomness, hence providing a high number of interface modes in the same structure. The robustness of the topological interface states against random perturbations in the pillars’ positions is further verified. Our work offers a reliable platform for studying topological properties and hyperuniform metamaterials and designing wave control devices for low-frequency wave attenuation and robust energy localization.

Cite this

Topological elastic interface states in hyperuniform pillared metabeams. / Cai, Runcheng; Pennec, Yan; Carpentier, Laurent et al.
In: APL materials, Vol. 12, No. 1, 011121, 23.01.2024.

Research output: Contribution to journalArticleResearchpeer review

Cai, R, Pennec, Y, Carpentier, L, Jin, Y, Rabczuk, T, Zhuang, X & Djafari-Rouhani, B 2024, 'Topological elastic interface states in hyperuniform pillared metabeams', APL materials, vol. 12, no. 1, 011121. https://doi.org/10.1063/5.0184699
Cai, R., Pennec, Y., Carpentier, L., Jin, Y., Rabczuk, T., Zhuang, X., & Djafari-Rouhani, B. (2024). Topological elastic interface states in hyperuniform pillared metabeams. APL materials, 12(1), Article 011121. https://doi.org/10.1063/5.0184699
Cai R, Pennec Y, Carpentier L, Jin Y, Rabczuk T, Zhuang X et al. Topological elastic interface states in hyperuniform pillared metabeams. APL materials. 2024 Jan 23;12(1):011121. doi: 10.1063/5.0184699
Cai, Runcheng ; Pennec, Yan ; Carpentier, Laurent et al. / Topological elastic interface states in hyperuniform pillared metabeams. In: APL materials. 2024 ; Vol. 12, No. 1.
Download
@article{5db9f2a3e5034f42ac1e62592513dcaf,
title = "Topological elastic interface states in hyperuniform pillared metabeams",
abstract = "Topological states have been receiving a great deal of interest in various wave problems, such as photonic, acoustic, and elastic waves. However, few studies of topological elastic waves in non-periodic systems have been reported. Recently, hyperuniform systems suppressing long-range order while partly maintaining short-range order have provided new opportunities to control waves. In this work, we study the elastic topological interface states appearing between two Su-Schrieffer-Heeger (SSH)-like pillared metabeams where each metabeam, is constituted by a mirror symmetric hyperuniform structure. The SSH-like model is constructed by combining two hyperuniform metabeams with inverted configurations. We demonstrate that this structure could open new bandgaps at low frequencies, of which some are nontrivial and can support topological interface modes. We further show that the number of low-frequency bandgaps supporting the topological modes increases with the level of randomness, hence providing a high number of interface modes in the same structure. The robustness of the topological interface states against random perturbations in the pillars{\textquoteright} positions is further verified. Our work offers a reliable platform for studying topological properties and hyperuniform metamaterials and designing wave control devices for low-frequency wave attenuation and robust energy localization.",
author = "Runcheng Cai and Yan Pennec and Laurent Carpentier and Yabin Jin and Timon Rabczuk and Xiaoying Zhuang and Bahram Djafari-Rouhani",
note = "Funding Information: This work was supported by the National Natural Science Foundation of China (Grant Nos.12272267 and 52278411), the Young Elite Scientists Sponsorship Program by CAST (Grant No. 2021QNRC001), the Shanghai Science and Technology Commission (Grant Nos. 22JC1404100 and 21JC1405600), the Special Funds of the Tongji University for “Sino-German Cooperation 2.0 Strategy,” and the Fundamental Research Funds for the Central Universities. The first author is grateful for the support of the China Scholarship Council (Grant No. 202206260205). This work was part of the project MAGNIFIC, which has received funding from the European Union{\textquoteright}s Horizon Europe research and innovation program under Grant Agreement No. 101091968. The project is also supported by the French national research agency ANR under Grant Agreement No. ANR-19-CE24-0014. ",
year = "2024",
month = jan,
day = "23",
doi = "10.1063/5.0184699",
language = "English",
volume = "12",
journal = "APL materials",
issn = "2166-532X",
publisher = "American Institute of Physics",
number = "1",

}

Download

TY - JOUR

T1 - Topological elastic interface states in hyperuniform pillared metabeams

AU - Cai, Runcheng

AU - Pennec, Yan

AU - Carpentier, Laurent

AU - Jin, Yabin

AU - Rabczuk, Timon

AU - Zhuang, Xiaoying

AU - Djafari-Rouhani, Bahram

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (Grant Nos.12272267 and 52278411), the Young Elite Scientists Sponsorship Program by CAST (Grant No. 2021QNRC001), the Shanghai Science and Technology Commission (Grant Nos. 22JC1404100 and 21JC1405600), the Special Funds of the Tongji University for “Sino-German Cooperation 2.0 Strategy,” and the Fundamental Research Funds for the Central Universities. The first author is grateful for the support of the China Scholarship Council (Grant No. 202206260205). This work was part of the project MAGNIFIC, which has received funding from the European Union’s Horizon Europe research and innovation program under Grant Agreement No. 101091968. The project is also supported by the French national research agency ANR under Grant Agreement No. ANR-19-CE24-0014.

PY - 2024/1/23

Y1 - 2024/1/23

N2 - Topological states have been receiving a great deal of interest in various wave problems, such as photonic, acoustic, and elastic waves. However, few studies of topological elastic waves in non-periodic systems have been reported. Recently, hyperuniform systems suppressing long-range order while partly maintaining short-range order have provided new opportunities to control waves. In this work, we study the elastic topological interface states appearing between two Su-Schrieffer-Heeger (SSH)-like pillared metabeams where each metabeam, is constituted by a mirror symmetric hyperuniform structure. The SSH-like model is constructed by combining two hyperuniform metabeams with inverted configurations. We demonstrate that this structure could open new bandgaps at low frequencies, of which some are nontrivial and can support topological interface modes. We further show that the number of low-frequency bandgaps supporting the topological modes increases with the level of randomness, hence providing a high number of interface modes in the same structure. The robustness of the topological interface states against random perturbations in the pillars’ positions is further verified. Our work offers a reliable platform for studying topological properties and hyperuniform metamaterials and designing wave control devices for low-frequency wave attenuation and robust energy localization.

AB - Topological states have been receiving a great deal of interest in various wave problems, such as photonic, acoustic, and elastic waves. However, few studies of topological elastic waves in non-periodic systems have been reported. Recently, hyperuniform systems suppressing long-range order while partly maintaining short-range order have provided new opportunities to control waves. In this work, we study the elastic topological interface states appearing between two Su-Schrieffer-Heeger (SSH)-like pillared metabeams where each metabeam, is constituted by a mirror symmetric hyperuniform structure. The SSH-like model is constructed by combining two hyperuniform metabeams with inverted configurations. We demonstrate that this structure could open new bandgaps at low frequencies, of which some are nontrivial and can support topological interface modes. We further show that the number of low-frequency bandgaps supporting the topological modes increases with the level of randomness, hence providing a high number of interface modes in the same structure. The robustness of the topological interface states against random perturbations in the pillars’ positions is further verified. Our work offers a reliable platform for studying topological properties and hyperuniform metamaterials and designing wave control devices for low-frequency wave attenuation and robust energy localization.

UR - http://www.scopus.com/inward/record.url?scp=85183030436&partnerID=8YFLogxK

U2 - 10.1063/5.0184699

DO - 10.1063/5.0184699

M3 - Article

AN - SCOPUS:85183030436

VL - 12

JO - APL materials

JF - APL materials

SN - 2166-532X

IS - 1

M1 - 011121

ER -