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In this paper the relaxed micromorphic continuum model with weighted free and gradient micro-inertia is used to describe the dynamical behavior of a real two-dimensional phononic crystal for a wide range of wavelengths. In particular, a…

经典物理 · 物理学 2016-10-14 Angela Madeo , Manuel Collet , Marco Miniaci , Kévin Billon , Morvan Ouisse , Patrizio Neff

This work theoretically and experimentally reports the evanescent connections between propagating bands in periodic acoustic materials. The complex band structures obtained by solving for the $k(\omega)$ problem reveal a complete…

In this paper, we present numerical and experimental evidence of directional wave behavior, i.e. beaming and diffraction, along high-order rotational symmetries of quasicrystalline elastic metamaterial plates. These structures are obtained…

应用物理 · 物理学 2022-01-31 Danilo Beli , Matheus Inguaggiato Nora Rosa , Carlos De Marqui , Massimo Ruzzene

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

软凝聚态物质 · 物理学 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

The introduction of nonlinearity alters the dispersion of elastic waves in solid media. In this paper, we present an analytical formulation for the treatment of finite-strain Bloch waves in one-dimensional phononic crystals. Considering…

材料科学 · 物理学 2021-09-01 M. I. Hussein , R. Khajehtourian , M. H. Abedinnasab

In this work a continuum model for high frequency poroelastic longitudinal waves in hydrogels is presented. A viscoelastic force describing the interaction between the polymer network and the bounded water present in such materials is…

软凝聚态物质 · 物理学 2012-10-15 Piero Chiarelli , Antonio Lanatà , Claudio Domenici , Marina Carbone

The propagation of acoustic or elastic waves in artificial crystals, including the case of phononic and sonic crystals, is inherently anisotropic. As is known from the theory of periodic composites, anisotropy is directly dictated by the…

经典物理 · 物理学 2023-06-30 Vincent Laude , Julio Andres Iglesias Martinez , Yan-Feng Wang , Muamer Kadic

We propose a new type of platonic crystal. The proposed microstructured plate includes snail resonators with low-frequency resonant vibrations. The particular dynamic effect of the resonators are highlighted by a comparative analysis of…

经典物理 · 物理学 2018-09-26 M. Morvaridi , G. Carta , M. Brun

This research investigates dynamic response of tunable periodic structures and homogenization methods in magnetoelastic composites (MECs). The research on tunable periodic structures is focused on the design, modeling and understanding of…

应用物理 · 物理学 2018-10-16 Alireza Bayat

Structured metamaterials are at the core of extensive research, promising for acoustic and thermal engineering. Nevertheless, the computational cost required for correctly simulating large systems imposes to use a continuous model to…

软凝聚态物质 · 物理学 2022-03-14 Haoming Luo , Valentina M. Giordano , Anthony Gravouil , Anne Tanguy

The complex band structures calculated using the Extended Plane Wave Expansion (EPWE) reveal the presence of evanescent modes in periodic systems, never predicted by the classical \omega(\vec{k}) methods, providing novel interpretations of…

材料科学 · 物理学 2015-05-28 V. Romero-García , J. O. Vasseur , L. M. Garcia-Raffi , A. C. Hladky-Hennion

We investigate the prospects for micron-scale acoustic wave components and circuits on chip in solid planar structures that do not require suspension. We leverage evanescent guiding of acoustic waves by high slowness contrast materials…

应用物理 · 物理学 2017-07-21 Yangyang Liu , Nathan Dostart , Miloš A. Popović

We introduce the stochastic band structure, a method giving the dispersion relation for waves propagating in periodic media or along waveguides, and subject to material loss or radiation damping. Instead of considering an explicit or…

计算物理 · 物理学 2023-06-30 Vincent Laude , Maria E. Korotyaeva

Manipulating the dispersive characteristics of vibrational waves is beneficial for many applications, e.g., high-precision instruments. architected hierarchical phononic materials have sparked promise tunability of elastodynamic waves and…

The effective dynamic properties of specific periodic structures involving rubber-like materials can be adjusted by pre-strain, thus facilitating the design of custom acoustic filters. While nonlinear viscoelastic behaviour is one of the…

软凝聚态物质 · 物理学 2022-03-01 Harold Berjamin , Riccardo De Pascalis

We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. The response to a short mechanical excitation on one side of…

统计力学 · 物理学 2007-05-23 Ellak Somfai , Jean-Noel Roux , Jacco H. Snoeijer , Martin van Hecke , Wim van Saarloos

We develop a formalism for the calculation of the frequency band structure of a phononic crystal consisting of non-overlapping elastic spheres, characterized by Lam\'e coefficients which may be complex and frequency dependent, arranged…

材料科学 · 物理学 2009-10-31 I. E. Psarobas , N. Stefanou , A. Modinos

This work investigates the propagation of elastic waves in periodic Kelvin-cell chains, focusing on symmetry-breaking geometric modifications induced by twisting the cell's faces. By imposing such twists, the original lattice topology is…

The refraction properties of phononic crystals are revealed by examining the anti-plane shear waves in doubly periodic elastic composites with unit cells containing rectangular and/or elliptical inclusions. The band-structure, group…

材料科学 · 物理学 2014-12-15 Sia Nemat-Nasser

It is well known in metamaterials that local resonance and hybridization phenomena dramatically influence the shape of dispersion curves; the metasurface created by a cluster of resonators, subwavelength rods, atop an elastic surface being…