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The extended plane wave expansion (EPWE) formulation is derived to obtain the complex band structure of flexural waves in viscoelastic thin phononic crystal plates considering the Kirchhoff-Love plate theory. The presented formulation…

General Physics · Physics 2023-10-24 E. J. P. Miranda , V. F. Dal Poggetto , N. M. Pugno , J. M. C. Dos Santos

Mitigating low-frequency vibration or noise is of vital importance to both human health and mechanical engineering. Two-dimensional phononic crystal (PC) structures were proposed by attaching rubber and metallic cylinders on one or both…

Applied Physics · Physics 2025-06-26 Hao Zhu , Kai Zhao

Based on our previous work, we propose a homogenized model of acoustic waves propagating through periodically perforated elastic plates with metamaterial properties due to embedded arrays of soft elastic inclusions serving for resonators.…

Computational Physics · Physics 2022-08-03 Eduard Rohan , Vladimír Lukeš

Soft electroactive materials can undergo large deformation subjected to either mechanical or electrical stimulus, and hence they can be excellent candidates for designing extremely flexible and adaptive structures and devices. This paper…

Soft Condensed Matter · Physics 2021-07-26 Bin Wu , Weijian Zhou , Ronghao Bao , Weiqiu Chen

The band structure in phononic crystals (PCs) is usually affected by the deformations of their soft components. In this work, hyperelastic transformation media is proposed to be integrated in the PCs'design, to achieve stable elastic…

Materials Science · Physics 2016-10-14 Yan Liu , Zheng Chang , Xi-Qiao Feng

The operating frequency range of passive topological phononic crystals is generally fixed and narrow, limiting their practical applications. To overcome this difficulty, here we design and investigate a one-dimensional soft dielectric…

Soft Condensed Matter · Physics 2022-10-25 Yingjie Chen , Bin Wu , Michel Destrade , Weiqiu Chen

In this paper, we numerically and experimentally demonstrate negative refraction of flexural waves in phononic crystal(PC) plates which is employed for designing flat elastic lenses. We propose a thickness contrast-based plate design to…

Applied Physics · Physics 2021-12-08 Hrishikesh Danawe , Serife Tol

Platonic crystals (PCs) are the elastic plate analogue of the photonic crystals widely used in optics, and are thin structured elastic plates along which flexural waves cannot propagate within certain stop band frequency intervals. The…

Materials Science · Physics 2013-04-30 Tryfon Antonakakis , Richard Craster , Sébastien Guenneau

We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic crystals consisting of a background medium which is perforated…

Analysis of PDEs · Mathematics 2007-05-23 H. Ammari , H. Kang , H. Lee

Piezoelectric elastic metamaterials offer the ability to overcome the fixed, narrow bandwidth characteristics of passive elastic metamaterials. Interesting ultrasonic band gaps exist in piezoelectric plate metamaterials with periodic…

Applied Physics · Physics 2022-07-19 David R. Schipf , Matthew D. Guild , Caleb F. Sieck

The paper deals with modelling of acoustic waves which propagate in inviscid fluids interacting with perforated elastic plates. The plate can be replaced by an interface on which transmission conditions are derived by homogenization of a…

Computational Physics · Physics 2019-06-28 Eduard Rohan , Vladimír Lukeš

We present in this paper a theoretical and numerical analysis of bending waves localized on the boundary of a platonic crystal whose building blocks are split ring resonators (SRR). We first derive the homogenized parameters of the…

Materials Science · Physics 2018-12-27 M. Farhat , S. Enoch , S. Guenneau

Numerical simulations shed light on control of shear elastic wave propagation in plates structured with inertial resonators. The structural element is composed of a heavy core connected to the main freestanding plate through tiny ligaments.…

Materials Science · Physics 2015-07-21 Younes Achaoui , André Diatta , Sébastien Guenneau

Dense ceramics are irreplaceable in applications requiring high mechanical stiffness, chemical and temperature resistance and low weight. To improve their toughness, ceramics can be reinforced with elongated inclusions. Recent manufacturing…

Applied Physics · Physics 2019-06-07 Hortense Le Ferrand

The Mindlin plate equations with the consideration of thickness-shear deformation as an independent variable have been used for the analysis of vibrations of quartz crystal resonators of both rectangular and circular types. The Mindlin or…

Materials Science · Physics 2016-11-17 Ji Wang , Hui Chen , Tingfeng Ma , Jianke Du , Lijun Yi , Yook-Kong Yong

In this article we discuss the modelling of elastic and electromagnetic wave propagation through one- and two-dimensional structured piezoelectric solids. Dispersion and the effect of piezoelectricity on the group velocity and positions of…

Materials Science · Physics 2017-01-25 Domenico Tallarico , Natalia V. Movchan , Alexander B. Movchan , Michele Camposaragna

Subwavelength imaging of elastic/acoustic waves using phononic crystals (PCs) is limited to a narrow frequency range via the two existing mechanisms that utilize either the intense Bragg scattering in the first phonon band or negative…

Applied Physics · Physics 2023-03-13 Hrishikesh Danawe , Serife Tol

In this work, we present a computational analysis of the planar wave propagation behavior of a one-dimensional periodic multi-stable cellular material. Wave propagation in these materials is interesting because they combine the ability of…

Applied Physics · Physics 2019-11-19 Camilo Valencia , David Restrepo , Nilesh D. mankame , Pablo D. Zavattieri , Juan Gomez

Composites are ideally suited to achieve desirable multifunctional effective properties since the best properties of different materials can be judiciously combined with designed microstructures. Here we establish cross-property relations…

Soft Condensed Matter · Physics 2020-05-13 Jaeuk Kim , Salvatore Torquato

We show both experimentally and theoretically the evanescent behaviour of modes in the Band Gap (BG) of finite Phononic Crystal (PC). Based on experimental and numerical data we obtain the imaginary part of the wave vector in good agreement…

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