Bending Wave Analysis of Porous Flexoelectric Metamaterial Plates

ZHAO Haoyang; HE Zhuangzhuang; ZHANG Chunli

doi:10.21656/1000-0887.450282

Volume 45 Issue 11

Nov. 2024

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ZHAO Haoyang, HE Zhuangzhuang, ZHANG Chunli. Bending Wave Analysis of Porous Flexoelectric Metamaterial Plates[J]. Applied Mathematics and Mechanics, 2024, 45(11): 1405-1415. doi: 10.21656/1000-0887.450282

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Bending Wave Analysis of Porous Flexoelectric Metamaterial Plates

doi: 10.21656/1000-0887.450282

1.
School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, P.R.China
2.
Huanjiang Laboratory, Zhuji, Zhejiang 311816, P.R.China

Received Date: 2024-10-21
Rev Recd Date: 2024-11-05
Publish Date: 2024-11-01

Abstract

Abstract

Porous dielectric metamaterials exhibit spatially non-uniform strain distribution due to internal pores with strain gradients particularly pronounced at the pore edges, leading to significant flexoelectric coupling effects. As a result, porous dielectric metamaterials represent a class of smart materials characterized by flexoelectric-type electromechanical coupling, showing great potential for various applications. A mixed finite element method (M-FEM) was employed to investigate the propagation characteristics of bending waves in porous flexoelectric metamaterial plates, aimed at the effects of pore sizes, pore numbers, and gradient distribution parameters of pore diameters within unit cells on the elastic wave bandgap structure. The results reveal that, the flexoelectric coupling effect enhances the effective stiffness of the structure, and thus increases the bending wave bandgap frequency; as the pore size increases, the bending wave bandgap frequency will decrease and the bandgap width will narrow; as the number of pores increases, the bandgap frequency will gradually decrease, and the bandgap will exhibit opening and closing phenomena; for porous dielectric metamaterial plates with gradient distributions of pore sizes, the larger the gradient index is, the wider the bending wave bandgap will be.
- flexoelectricity,
- flexural wave,
- band gap,
- porous,
- metamaterial

(Contributed by ZHANG Chunli, M.AMM Youth Editorial Board)

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References(37)

References

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