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This paper investigates the dynamics of compact localized modes in one-dimensional flat-band elastic lattices. Flat dispersion arises from destructive interference between neighboring elements, resulting in a zero group velocity across all…

Applied Physics · Physics 2024-12-10 Emanuele Riva , Jacopo Marconi , Francesco Braghin

We extend density matrix embedding theory to periodic systems, resulting in an electronic band structure method for solid-state materials. The electron correlation can be captured by means of a local impurity model using various choices of…

Strongly Correlated Electrons · Physics 2019-09-27 Hung Q. Pham , Matthew R. Hermes , Laura Gagliardi

The possibility of shifting sound energy from lower to higher frequency bands is investigated. The system configuration considered is a segmented structure having non-linear stiffness characteristics. It is proposed here that such a…

Classical Physics · Physics 2021-02-10 Srinivas Varanasi , Thomas Siegmund , J. Stuart Bolton

Metadynamics is an established sampling method aimed at reconstructing the free-energy surface relative to a set of appropriately chosen collective variables. In standard metadynamics the free-energy surface is filled by the addition of…

Statistical Mechanics · Physics 2012-07-11 Davide Branduardi , Giovanni Bussi , Michele Parrinello

The paper deals with the passive control of resonant systems using nonlinear energy sink (NES). The objective is to highlight the benefits of adding nonlinear geometrical damping in addition to the cubic stiffness nonlinearity. The…

Classical Physics · Physics 2025-04-28 Etienne Gourc , Pierre-Olivier Mattei , Renaud Côte , Matteo Capaldo

Periodic structures are a type of metamaterial in which the physical properties depend not only on the details of the unit cell but also on how unit cells are arranged and interact with each other. In conventional engineering structures,…

Applied Physics · Physics 2022-05-27 Sudesh Pathak , Gagan Dangi , Farhad Farzbod

Self-shaping of curved structures, especially those involving flexible thin layers, has attracted increasing attention because of their broad potential applications in e.g. nanoelectromechanical/micro-electromechanical systems (NEMS/MEMS),…

Soft Condensed Matter · Physics 2015-12-17 Zi Chen , Gaoshan Huang , Ian Trase , Xiaomin Han , Yongfeng Mei

Reciprocity is a fundamental principle governing various physical systems, which ensures that the transfer function between any two points in space is identical, regardless of geometrical or material asymmetries. Breaking this transmission…

Classical Physics · Physics 2017-04-12 Corentin Coulais , Dimitrios Sounas , Andrea Alù

We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultrasound directed self-assembly, which allows fabricating…

Analysis of PDEs · Mathematics 2024-09-20 Elena Cherkaev , Fernando Guevara Vasquez , China Mauck

This paper aims at quantitatively understanding the elastic wave scattering due to negative metamaterial structures under wide-band signals in the time domain. Specifically, we establish the modal expansion for the time-dependent field…

Analysis of PDEs · Mathematics 2022-04-12 Bochao Chen , Yixian Gao , Hongyu Liu

Based on the physics of stochastic processes we present a new approach for structural health monitoring. We show that the new method allows for an in-situ analysis of the elastic features of a mechanical structure even for realistic…

Data Analysis, Statistics and Probability · Physics 2013-01-08 Philip Rinn , Hendrik Heißelmann , Matthias Wächter , Joachim Peinke

We numerically investigate sound damping in a model of granular materials in two dimensions. We simulate evolution of standing waves in disordered frictionless disks and analyze their damped oscillations by velocity autocorrelation…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Hideyuki Mizuno

In recent years there has been significant interest in the concepts of synthetic dimensions, where one couples the internal degrees of freedom of a particle to form higher-dimensional lattices in lower-dimensional physical structures. For…

Optics · Physics 2019-07-24 Avik Dutt , Momchil Minkov , Qian Lin , Luqi Yuan , David A. B. Miller , Shanhui Fan

Despite being governed by the familiar laws of Hookean mechanics, elastic shells patterned with an internal structure (i.e. metashells) exhibit a wealth of unusual mechanical properties with no counterparts in unstructured materials. Here I…

Soft Condensed Matter · Physics 2025-02-17 Luca Giomi

Metamaterials can enable unique mechanical properties based on their geometry rather than their chemical composition. Such properties can go beyond what is possible using conventional materials. Most of the existing literature consider…

Applied Physics · Physics 2025-02-04 Mohamed Roshdy , Osama R. Bilal

In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

Aperiodic metamaterials represent a class of structural systems that are composed of different building blocks (cells), instead of a self-repeating chain of the same unit cells. Optimizing aperiodic cellular structural systems thus presents…

Computational Engineering, Finance, and Science · Computer Science 2020-07-31 Amir Behjat , Manaswin Oddiraju , Mohammad Ali Attarzadeh , Mostafa Nouh , Souma Chowdhury

The introduction of structural defects in otherwise periodic media is well known to grant exceptional space control and localization of waves in various physical fields, including elasticity. Despite the variety of designs proposed so far,…

Applied Physics · Physics 2021-11-18 Marco Miniaci , Florian Allein , Raj Kumar Pal

The regularity of earthquakes, their destructive power, and the nuisance of ground vibration in urban environments, all motivate designs of defence structures to lessen the impact of seismic and ground vibration waves on buildings. Low…

Classical Physics · Physics 2017-08-02 Y. Achaoui , T. Antonakakis , S. Brule , R. V. Craster , S. Enoch , S. Guenneau

Fractal is an intriguing geometry with self-similarity and non-integer dimensions, the elastic-wave topological phase based on fractal structures has not been revealed up to now. In this work, elastic-wave higher-order topological states in…

Applied Physics · Physics 2024-10-08 Tingfeng Ma , Bowei Wu , Jiachao Xu , Hui Chen , Shuanghuizhi Li , Boyue Su , Pengfei Kang , Ji Wang