Tunable control of subwavelength topological interface modes in locally resonance piezoelectric metamaterials

Liu, Yijie; Wang, Hongfa; Fang, Wenbo; Han, Qiang; Liu, Dianzi; Liang, Yingjing

doi:10.1016/j.compstruct.2021.114541

Cited by 25 publications

(11 citation statements)

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“…Some researchers have employed the piezoelectric shunt method [39][40][41][42] to manipulate the frequency range of the valley TPES and further realize reconfigurable TIs. Zhou et al [43] developed a tunable QVHE membrane-type metamaterial.…”

Section: Introductionmentioning

confidence: 99%

Valley Hall Elastic Edge States in Locally Resonant Metamaterials

et al. 2022

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This paper presents a locally resonant metamaterial periodically rearranged as a local resonator, that is hexagonal holes arranged in a thin plate replace the elastic local resonator to achieve the quantum valley Hall effect. Due to the C3v symmetry in the primitive hexagonal lattice, one Dirac point emerges at high symmetry points in the Brillouin zone in the sub-wavelength area. Rotating the beam element of the resonator can break the spatial inversion symmetry to lift the Dirac degeneracy and form a new bandgap. Thus, the band inversion is discovered by computing the relationship between the associated bandgap and the rotational parameter. We also confirmed this result by analyzing the vortex chirality and calculating the Chern number. We can discover two kinds of edge states in the projected band obtained by computing the supercell composed of different topological microstructures. Finally, the propagation behavior in various heterostructures at low frequencies was analyzed. It is shown that these valley Hall elastic insulators can guide elastic waves along sharp interfaces and are immune to backscattering from defects or disorder. By utilizing elastic resonators, a simple reconfigurable topological elastic metamaterial is realized in the sub-wavelength area.

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Section: Introductionmentioning

confidence: 99%

Valley Hall Elastic Edge States in Locally Resonant Metamaterials

et al. 2022

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“…The x, y and z directions are denoted as 1, 2 and 3 respectively. Since the piezoelectric sheet is subjected to an electric field along the z-axis only, the intrinsic equation of the piezoelectric material in the plane stress state can be expressed as [47,53,54]…”

Section: Structural Design and Topological Energy Band Inversion Of T...mentioning

confidence: 99%

“…By using the piezoelectric control technique, Li et al controlled the appearance and disappearance of the double Dirac cone by adjusting negative capacitance circuits connected to piezoelectric sheets, and verified the strong robustness of the topological waveguide in the experiments [47]. Piezoelectric shunt technology was first proposed by Forward, as well as being well developed for active control in the field of sound and vibration [48][49][50][51][52][53][54]. By connecting a negative capacitance circuit to the piezoelectric sheet of the metamaterial plate, it can be regarded as an element of adjustable stiffness.…”

Section: Introductionmentioning

confidence: 99%

“…However, there lacks research on the tunable corner states of elastic-wave two-dimensional HOTIs. Thus, inspired by the structure of the onedimensional local resonance tunable topological states by Liu et al [53] we attached negative capacitance circuits to piezoelectric sheets on the inner or outer supports of the hexagonal lattice. In this way, the topological corner states of the elastic plate can be actively tuned.…”

Section: Introductionmentioning

confidence: 99%

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Active control of higher-order topological corner states in a piezoelectric elastic plate

Ma¹,

Liu²,

Xie³

et al. 2023

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Different from the traditional bulk-edge correspondence principle, the discovery of higher-order topological states has generated widespread interest. In a second-order, two-dimensional elastic wave topological insulator, the fluctuation information can be confined to the corners, with the state being topologically protected. In order to better apply topological corner states, this paper designs a two-dimensional elastic plate with adjustable topological corner states by means of piezoelectric control capability. By selectively connecting negative capacitance circuits to piezoelectric sheets on the honeycomb elastic plate, the energy band can be flipped. The topological corner states at the 2π/3 corner were observed at the boundary of two different topological phase structures in the finite lattice with finite element software. The strong robustness of the topological corner states was verified by setting up defective control groups at the corner. In addition, the topological corner states of this piezoelectric elastic plate are discussed accordingly in terms of their tunability in frequency and position. The piezoelectric elastic plate is expected to provide a reference for the design of elastic wave local control and energy harvesting devices due to its adjustable topological corner states, which facilitate the application of topological corner states in practice.

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“…Topological interface states are also realized in soft elastic metamaterials, which shown to be backscattering immune and robust to defects and changes in the environment [45]. However, as concluded in [46], due to their soft nature such metamaterials are having high damping ratio and propagation of elastic waves is possible only at short distances, which can also affect localized interface states. Therefore, consideration of damping can be crucial for reliable analysis of topological interface states in mechanical metamaterials and periodic structures.…”

Section: Introductionmentioning

confidence: 99%