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The topological mechanics is a perfect tool that can bridge the gap between the quantum and Newtonian physics and mechanics of materials. It requires discrete models of the material with analogies with the topological characteristics of…

Applied Physics · Physics 2020-06-02 Mohamed Shaat

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…

Classical Physics · Physics 2016-10-14 Angela Madeo , Manuel Collet , Marco Miniaci , Kévin Billon , Morvan Ouisse , Patrizio Neff

We present a novel approach to achieve adaptable band structures and non-reciprocal wave propagation by exploring and exploiting the concept of metastable modular metastructures. Through studying the dynamics of wave propagation in a chain…

Applied Physics · Physics 2018-02-14 Z. Wu , Y. Zheng , K. W. Wang

We investigate the nonlinear equations governing wave propagation across a metamaterial consisting of a cellular periodic structure hosting resonators with linear and cubic springs. The resulting system of two coupled equations with cubic…

Dynamical Systems · Mathematics 2025-03-18 Laura Di Gregorio , Walter Lacarbonara

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

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 elastic wave propagation is investigated in the beam lattice material characterized by a square periodic cell with anti-tetrachiral microstructure. With reference to the Floquet-Bloch spectrum, focus is made on the band structure…

Materials Science · Physics 2016-08-04 Andrea Bacigalupo , Giorgio Gnecco , Marco Lepidi , Luigi Gambarotta

Efficient transmission of elastic waves across interfaces is central to several applications, including medical imaging, seismic isolation, and transducer design. Interfaces with abrupt changes in the material properties significantly…

Optics · Physics 2026-02-25 Jagannadh Boddapati , Jihoon Ahn , Alexander C Ogren , Chiara Daraio

In civil, mechanical, and aerospace engineering, structural dynamics is commonly understood to be a discipline concerned with the analysis and characterization of the vibratory response of structures. Key elements of the response are the…

Applied Physics · Physics 2018-09-13 Clemence L. Bacquet , Mahmoud I. Hussein

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 experimentally implement a virtual geometric periodicity in an elastic metamaterial. First, unwanted boundary reflections at the domain ends are cancelled through the iterative injection of the polarity reversed, reflected wavefield. The…

Applied Physics · Physics 2023-01-18 Henrik R. Thomsen , Bao Zhao , Andrea Colombi

We rigorously determine the scale-independent short range elastic parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure. This is done using both classical periodic homogenization and a new…

Applied Physics · Physics 2019-10-01 Patrizio Neff , Bernhard Eidel , Marco Valerio d'Agostino , Angela Madeo

In contrary to elastic media, it is easy to attain one-way coupling feature among electrical elements, which enables unidirectional transmission of electrical wave. In this paper, we explore and exploit the interaction of a piezoelectric…

Applied Physics · Physics 2021-04-09 Yisheng Zheng , Junxian Zhang , Yegao Qu , Guang Meng

The modified Becke-Johnson meta-GGA potential of density functional theory has been shown to be the best exchange-correlation potential to determine band gaps of crystalline solids. However, it cannot be consistently used for the electronic…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Tomáš Rauch , Miguel A. L. Marques , Silvana Botti

Recently, an increasing research effort has been dedicated to analyse the transmission and dispersion properties of periodic acoustic metamaterials, characterized by the presence of local resonators. Within this context, particular…

Computational Physics · Physics 2019-08-29 Andrea Bacigalupo , Giorgio Gnecco , Marco Lepidi , Luigi Gambarotta

To date, the vast majority of architected materials have leveraged two physical principles to control wave behavior, namely Bragg interference and local resonances. Here, we describe a third path: structures that accommodate a finite number…

Applied Physics · Physics 2023-05-31 Aleksi Bossart , Romain Fleury

In this work, we develop a new systematic and self-consistent approach to homogenize arbitrary non-magnetic periodic metamaterials. The proposed method does not rely on the solution of an eigenvalue problem and can fully characterize the…

Materials Science · Physics 2015-06-25 Mario G. Silveirinha

We investigate a composite elastic meta-slab with exceptional transmission properties, particularly the presence of a W-shaped bandgap. A comprehensive study, utilizing experimental measurements, the finite element method, and an analytical…

Optics · Physics 2025-03-31 B. Lemkalli , K. K. Dudek , M. Kadic , Q. Ji , S. Guenneau , A. Mir , Y. Achaoui

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

We report on broadband-to-narrowband elastic wave filtering resulting from time-periodic modulation of the stiffness of a one-dimensional elastic waveguide. Time modulation produces flat dispersion bands at frequencies that are multiple…

Applied Physics · Physics 2019-04-03 Giuseppe Trainiti , Yiwei Xia , Jacopo Marconi , Alper Erturk , Massimo Ruzzene