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Mechanical and phononic metamaterials exhibiting negative elastic moduli, gapped vibrational spectra, or topologically protected modes enable precise control of structural and acoustic functionalities. While much progress has been made in…

Materials Science · Physics 2019-09-25 Henrik Ronellenfitsch , Norbert Stoop , Josephine Yu , Aden Forrow , Jörn Dunkel

The review is devoted to the theory of collective and it local pinning effects in various disordered non-linear driven systems. Although the emphasis is put on charge and spin density waves and magnetic domain walls, the theory has also…

Statistical Mechanics · Physics 2009-11-10 Serguei Brazovskii , Thomas Nattermann

Local resonance band gaps in acoustic metamaterials are widely known for their strong attenuation yet narrow frequency span. The latter limits the practical ability to implement subwavelength band gaps for broadband attenuation and has…

Applied Physics · Physics 2022-01-12 A. Stein , M. Nouh , T. Singh

Although metamaterials have been widely used for controlling elastic waves through bandgap engineering, the directed guidance of stress waves in non-periodic structures has remained a challenge. This work demonstrates that spatially graded…

Applied Physics · Physics 2023-10-20 Charles Dorn , Dennis M. Kochmann

We develop a continuum theory of linear viscoelastic response in oriented monodomain nematic elastomers. The expression for dissipation function is analogous to the Leslie-Ericksen version of anisotropic nematic viscosity; we propose the…

Soft Condensed Matter · Physics 2009-11-07 E. M. Terentjev , M. Warner

We study a class of temporal metamaterials characterized by time-varying dielectric permittivity waveforms of duration much smaller than the characteristic wave-dynamical timescale. In the analogy between spatial and temporal metamaterials,…

Optics · Physics 2022-07-13 Carlo Rizza , Giuseppe Castaldi , Vincenzo Galdi

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

We design, simulate and experimentally characterise a reconfigurable elastic metamaterial with beyond-nearest-neighbour (BNN) coupling. The structure is composed from the popular British model construction system, Meccano$^{\text{TM}}$. The…

Applied Physics · Physics 2022-06-22 G. J. Chaplain , I. R. Hooper , A. P. Hibbins , T. A. Starkey

Metamaterials are arrangement of basic building blocks that repeat in space, time, or both. These material systems serve as an excellent platform for controlling waves, such as engineering wavenumber band gaps, flat bands, and…

Applied Physics · Physics 2026-01-13 Mohamed A. Elgamal , Osama R. Bilal

A self-consistent computational scheme is presented for one dimensional (1D) and two dimensional (2D) metamaterial systems with gain incorporated into the nanostructures. The gain is described by a generic four-level system. The loss…

Optics · Physics 2010-08-03 Anan Fang , Thomas Koschny , Costas M Soukoulis

While elastic metasurfaces offer a remarkable and very effective approach to the subwalength control of stress waves, their use in practical applications is severely hindered by intrinsically narrow band performance. This work introduces…

Applied Physics · Physics 2022-06-01 Hongfei Zhu , Timothy F. Walsh , Bradley H. Jared , Fabio Semperlotti

Layered metal-dielectric metamaterials have filtering properties both in the frequency domain and in the spatial frequency domain. Engineering their spatial filtering response is a way of designing structures with specific diffraction…

Optics · Physics 2014-08-28 Anna Pastuszczak , Marcin Stolarek , Rafal Kotynski

This work develops a dynamic homogenization approach for metamaterials. It finds an approximate macroscopic homogenized equation with constant coefficients posed in space and time; however, the resulting homogenized equation is higher order…

Analysis of PDEs · Mathematics 2022-06-23 Kshiteej Deshmukh , Timothy Breitzman , Kaushik Dayal

In this paper, we present the realization of an elastic metamaterial allowing independent tuning of negative density and stiffness for elastic waves propagating along a designated direction. In electromagnetic (or acoustic) metamaterials,…

Other Condensed Matter · Physics 2016-01-14 Joo Hwan Oh , Young Eui Kwon , Hyung Jin Lee , Yoon Young Kim

Elastic wave propagation provides a noninvasive way to probe granular materials. The discrete element method using particle configuration as input, allows a micromechanical interpretation on the acoustic response of a given granular system.…

Geophysics · Physics 2018-08-28 Hongyang Cheng , Stefan Luding , Kuniyasu Saitoh , Vanessa Magnanimo

Dynamic substructuring (DS) methods encompass a range of techniques to decompose large structural systems into multiple coupled subsystems. This decomposition has the principle benefit of reducing computational time for dynamic simulation…

Computational Engineering, Finance, and Science · Computer Science 2020-07-01 Thomas Simpson , Dimitrios Giagopoulos , Vasilis Dertimanis , Eleni Chatzi

This paper develops a quantitatively accurate first-principles description for the frequency and the linewidth of collective electronic excitations in inhomogeneous weakly disordered systems. A finite linewidth in general has intrinsic and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. A. Ullrich , G. Vignale

The structural description for the intriguing link between the fast vibrational dynamics and slow diffusive dynamics in glass-forming systems is one of the most challenging issues in physical science. Here, in a model of metallic…

Disordered Systems and Neural Networks · Physics 2017-08-09 Z. W. Wu , W. H. Wang , Limei Xu

The presence of multiple stable states and associated nonlinear phenomena, such as hysteresis, in multistable mechanical metamaterials enables frequency-independent energy harvesting and shock absorption. This study focuses on shock…

Pattern Formation and Solitons · Physics 2026-03-16 Sneha Srikanth , Andres F. Arrieta

Damping mechanical resonances is a formidable challenge in an increasing number of applications. Many of the passive damping methods rely on using low stiffness dissipative elements, complex mechanical structures or electrical systems,…

Soft Condensed Matter · Physics 2023-02-24 David M. J. Dykstra , Coen Lenting , Alexandre Masurier , Corentin Coulais