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The dispersive wave propagation in a periodic metamaterial with tetrachiral topology and inertial local resonators is investigated. The Floquet-Bloch spectrum of the metamaterial is compared with that of the tetrachiral beam lattice…

Materials Science · Physics 2016-05-24 Andrea Bacigalupo , Giorgio Gnecco , Marco Lepidi , Luigi Gambarotta

The study of topological states in electronic structures, which allows robust transport properties against impurities and defects, has been recently extended to the realm of elasticity. This work shows that nontrivial topological flexural…

Body-Centred Cubic (BCC) lattices with twinned meta-crystal architecture inspired by the strengthening of bulk metals have significantly improved mechanical performance; however, their deformation behaviour and underlying strengthening…

Materials Science · Physics 2025-03-06 David McArthur , PJ Tan , Chu Lun Alex Leung

We demonstrate experimentally the generation of square and hexagonal lattices of optical vortices and reveal their propagation in a saturable nonlinear medium. If the topological charges of the vortices are of the same sign the lattice…

Pattern Formation and Solitons · Physics 2009-11-07 Alexander Dreischuh , Sotir Chervenkov , Dragomir Neshev , Gerhard G. Paulus , Herbert Walther

The mechanics of lower dimensional elastic structures depends strongly on the geometry of their stress-free state. Elastic deformations separate into in-plane stretching and lower energy out-of-plane bending deformations. For elastic…

Soft Condensed Matter · Physics 2021-01-20 Jonathan Kernes , Alex J. Levine

We investigate a novel higher-order topological behavior in elastic lattices characterized by nonsymmorphic symmetries. In the theoretical spring-mass lattice, altering the vertex mass allows for fine-tuning of the topological features…

Applied Physics · Physics 2024-12-18 Yijie Liu , Yuyang Chen , Zhaoyang Guo , Zhi-Kang Lin , Di Zhou , Feng Li , Ying Wu

Metasurfaces with local phase tuning by subwavelength elements promise unprecedented possibilities for ultra-thin and multifunctional optical devices, in which geometric phase design is widely used due to its resonant-free and large…

Ultrasonic guided waves offer a convenient and practical approach to structural health monitoring and non-destructive evaluation. A key property of guided waves is the fully-defined relationship between central frequency and propagation…

We study the polarization properties of elliptical femtosecond-laser-written waveguides arrays. A new analytical model is presented to explain the asymmetry of the spatial transverse profiles of linearly polarized modes in these waveguides.…

Metamaterials are artificially structured media that can focus (lensing) or reroute (cloaking) waves, and typically this is developed for electromagnetic waves at millimetric down to nanometric scales or for acoustics or thin elastic plates…

Materials Science · Physics 2017-05-26 A. Colombi , S. Guenneau , P. Roux , C. Richard

We present a discrete model of resonant scattering of waves by an open periodic waveguide. The model elucidates a phenomenon common in electromagnetics, in which the interaction of plane waves with embedded guided modes of the waveguide…

Mathematical Physics · Physics 2011-01-04 Natalia Ptitsyna , Stephen P. Shipman

Within periodic materials and structures, wave scattering and dispersion occur across constituent material interfaces leading to a banded frequency response. In an earlier paper, the elastodynamics of one-dimensional periodic materials and…

Materials Science · Physics 2023-12-19 M. I. Hussein , G. M. Hulbert , R. A. Scott

Architecting mechanisms of damage in metamaterials by leveraging lattice topology and geometry poses a vital yet complex challenge, essential for engineering desirable mechanical responses. Of these metamaterials, Maxwell lattices, which…

Soft Condensed Matter · Physics 2025-08-26 Leo de Waal , Matthaios Chouzouris , Marcelo A. Dias

Metasurfaces (MSs) have been utilized to manipulate different properties of electromagnetic waves. By combining local control over the wave amplitude, phase, and polarization into a single tunable structure, a multi-functional and…

Metamaterials with the transformation method has greatly promoted the development in achieving invisibility and illusion for various classical waves. However, the requirement of tailor-made bulk materials and extreme constitutive parameters…

Classical Physics · Physics 2017-07-26 Yongquan Liu , Zixian Liang , Fu Liu , Owen Diba , Alistair Lamb , Jensen Li

We study lightweight, elastic metamaterials consisting of tensegrity-inspired prisms, which present wide, low-frequency band gaps. For their realization, we alternate tensegrity elements with solid discs in periodic arrangements that we…

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…

Materials Science · Physics 2021-09-01 M. I. Hussein , R. Khajehtourian , M. H. Abedinnasab

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

Studying wave propagation in nonlinear discrete systems is essential for understanding energy transfer in lattices. While linear systems prohibit wave propagation within the natural band gap, nonlinear systems exhibit {supratransmission},…

Pattern Formation and Solitons · Physics 2025-09-18 R. Kusdiantara , M. Wijaya , M. F. Adhari , H. Susanto

In this work, the author developed a multiple scattering model for heterogeneous elastic continua with strong property fluctuation and obtained the exact solution to the dispersion equation derived from the Dyson equation under the…

Geophysics · Physics 2017-06-29 Huijing He