Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses

GU Patil, KH Matlack - Acta Mechanica, 2022 - Springer
Phononic materials are periodically arranged building blocks in the form of material
properties, geometries, and/or boundary conditions. This synthetic architecture makes …

Nonlinear coherent structures in granular crystals

C Chong, MA Porter, PG Kevrekidis… - Journal of Physics …, 2017 - iopscience.iop.org
The study of granular crystals, which are nonlinear metamaterials that consist of closely
packed arrays of particles that interact elastically, is a vibrant area of research that combines …

Phonon Engineering of Micro‐and Nanophononic Crystals and Acoustic Metamaterials: A Review

J Ma - Small Science, 2023 - Wiley Online Library
Phononic crystals (PnCs) and acoustic metamaterials (AMMs) are artificially architected
materials endowed with the capabilities of wave manipulation. This review specifically …

Broadband and tunable one-dimensional strongly nonlinear acoustic metamaterials: theoretical study

X Fang, J Wen, J Yin, D Yu, Y **ao - Physical Review E, 2016 - APS
This paper focuses on the dispersion properties and mechanism of the one-dimensional
strongly nonlinear acoustic metamaterials (NAMMs) based on the homotopy method. The …

Advances in nonlinear acoustic/elastic metamaterials and metastructures

X Fang, W Lacarbonara, L Cheng - Nonlinear Dynamics, 2024 - Springer
Acoustic/elastic metamaterials exhibit a wealth of unusual properties conducive to wave
manipulation. This review outlines state-of-the-art developments from FPUT chains, granular …

Nonlinear resonances and energy transfer in finite granular chains

J Lydon, G Theocharis, C Daraio - Physical review E, 2015 - APS
In the present work we test experimentally and compute numerically the stability and
dynamics of harmonically driven monoatomic granular chains composed of an increasing …

Solitary waves in a chain of repelling magnets

M Molerón, A Leonard, C Daraio - Journal of Applied Physics, 2014 - pubs.aip.org
We study experimentally, numerically, and theoretically the dynamics of a one dimensional
array of repelling magnets. We demonstrate that such systems support solitary waves with a …

Damped-driven granular chains: An ideal playground for dark breathers and multibreathers

C Chong, F Li, J Yang, MO Williams, IG Kevrekidis… - Physical Review E, 2014 - APS
By applying an out-of-phase actuation at the boundaries of a uniform chain of granular
particles, we demonstrate experimentally that time-periodic and spatially localized structures …

Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices

C Chong, Y Wang, D Maréchal… - New Journal of …, 2021 - iopscience.iop.org
We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally
periodic and spatially localized structures, in a two-dimensional array of repelling magnets …

Linear and nonlinear elastic waves in magnetogranular chains

F Allein, V Tournat, V Gusev, G Theocharis - Physical Review Applied, 2020 - APS
We study a magnetogranular chain composed of stainless-steel beads which are placed
inside an appropriately designed periodic magnetic field. The latter provides attractive forces …