Magnetically tunable bandgaps in phononic crystal nanobeams incorporating microstructure and flexoelectric effects

Zhang, Gongye; He, Zhuangzhuang; Qin, Jingwen; Hong, Jun Hwa

doi:10.1016/j.apm.2022.07.005

Cited by 31 publications

(4 citation statements)

References 60 publications

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“…Phononic crystal (PC) [1][2][3][4] is an artificial composite structure characterized by periodic variations in material parameters or geometric shapes. One significant attribute of PC is the ability to create band gaps in the propagation of elastic waves, which means that elastic waves in certain or all directions within a specified frequency range cannot freely propagate in the structure [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Size and Temperature Effects on Band Gap Analysis of a Defective Phononic Crystal Beam

Yao,

Wang,

Hong

et al. 2024

Crystals

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In this paper, a new defective phononic crystal (PC) microbeam model in a thermal environment is developed with the application of modified couple stress theory (MCST). By using Hamilton’s principle, the wave equation and complete boundary conditions of a heated Bernoulli–Euler microbeam are obtained. The band structures of the perfect and defective heated PC microbeams are solved by employing the transfer matrix method and supercell technology. The accuracy of the new model is validated using the finite element model, and the parametric analysis is conducted to examine the influences of size and temperature effects, as well as defect segment length, on the band structures of current microbeams. The results indicate that the size effect induces microstructure hardening, while the increase in temperature has a softening impact, decreasing the band gap frequencies. The inclusion of defect cells leads to the localization of elastic waves. These findings have significant implications for the design of microdevices, including applications in micro-energy harvesters, energy absorbers, and micro-electro-mechanical systems (MEMS).

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Section: Introductionmentioning

confidence: 99%

Size and Temperature Effects on Band Gap Analysis of a Defective Phononic Crystal Beam

Yao,

Wang,

Hong

et al. 2024

Crystals

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“…The phononic crystal (PnC) defect results in a high degree of elastic wave localization and provides an efficient way of energy collection in piezoelectric energy harvesting (PEH) devices, which has attracted much attention [1][2][3][4][5][6]. Bandgap is an extraordinary property of PnCs, and elastic waves in the bandgap frequency range decay rapidly and cannot propagate through the PnCs [7][8][9][10][11]. Furthermore, by changing a single unit cell structure to destroy the periodicity of the PnCs (i.e., a defect), flat passbands (i.e., defect bands) usually appear in the bandgap [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Elastic wave harvesting in piezoelectric-defect-introduced phononic crystal microplates

Zhang

Chen

et al. 2023

International Journal of Mechanical Sciences

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“…Metamaterials are artificial composite materials with rationally designed microstructures that can achieve effective material performance beyond that of their constituents. In this study, we focus on mechanical metamaterials, such as artificial periodic structures [1][2][3], phononic crystals [4][5][6], and acoustic metamaterials [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

A one-dimensional model for mechanical coupling metamaterials using couple stress theory

Guo

et al. 2023

Mathematics and Mechanics of Solids

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A new model for a one-dimensional (1D) metamaterial model is formulated based on the couple stress theory. Different point groups of crystal will affect the mechanical couplings in the 1D metamaterial model. We find that when the material belongs to D2 point group, an unusual set of equations is decoupled from governing equations: axial force–torsion–warping (FTW) metamaterial model, which describes an unusual mechanical coupling that cannot occur in traditional materials. The deformation behaviors of the current model under a different axial force are analyzed by using the FTW metamaterial model. The numerical results show that the middle part of the current model has maximum torsional deformation when subjected to sine-type axial force. Since the end of the current model is fixed, the current model does not have compressional deformation globally. Moreover, when the current model is subjected to cosine-type axial force, the FTW coupling is successfully achieved. Then, we study a rod-like metamaterial model under an axial end force. The results show that the compressional deformation occurs at the free end, with a counterclockwise torsion. The current work provides guidance for the structural design and theoretical analysis of the rod-like metamaterial when using the couple stress theory.

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Magnetically tunable bandgaps in phononic crystal nanobeams incorporating microstructure and flexoelectric effects

Cited by 31 publications

References 60 publications

Size and Temperature Effects on Band Gap Analysis of a Defective Phononic Crystal Beam

Size and Temperature Effects on Band Gap Analysis of a Defective Phononic Crystal Beam

Elastic wave harvesting in piezoelectric-defect-introduced phononic crystal microplates

A one-dimensional model for mechanical coupling metamaterials using couple stress theory

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