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 …

Pulse propagation in granular chains

A Rosas, K Lindenberg - Physics Reports, 2018 - Elsevier
In this comprehensive review we present, discuss, and compare a number of theoretical
approaches to the propagation of impulses in granular chains found in the literature …

Non-linear waves in lattices: past, present, future

PG Kevrekidis - IMA Journal of Applied Mathematics, 2011 - academic.oup.com
In the present work, we attempt a brief summary of various areas where non-linear waves
have been emerging in the phenomenology of lattice dynamical systems. These areas …

Impact and blast mitigation using locally resonant woodpile metamaterials

E Kim, J Yang, HY Hwang, CW Shul - International journal of impact …, 2017 - Elsevier
We numerically and experimentally investigate impact/blast-induced shock mitigation using
a quasi-1D woodpile mechanical metamaterial consisting of slender cylindrical rods. In this …

[图书][B] Topics on the nonlinear dynamics and acoustics of ordered granular media

Y Starosvetsky, KR Jayaprakash, MA Hasan… - 2017 - World Scientific
The study of mechanics of granular media dates back to the era of Coulomb. He was the first
to postulate the yield condition for homogeneous solids and also conditions for failure in …

Impulse mitigation in nonlinear composite-based woodpile phononic crystals

Y Jang, G Lee, E Kim, J Rho - Applied Physics Letters, 2022 - pubs.aip.org
In this work, we study the mitigation of stress waves in composite-based woodpile phononic
crystals composed of heterogeneous cylindrical rods, whose bending mode exhibits local …

Amplitude-dependent phononic processes in a diatomic granular chain in the weakly nonlinear regime

J Cabaret, V Tournat, P Béquin - … Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
Nonlinear acoustic processes of second harmonic generation and nonlinear resonances in
a diatomic granular chain (a granular phononic crystal) with static precompression are …

Geometry-controlled phase transition in vibrated granular media

R Zuñiga, G Varas, S Job - Scientific Reports, 2022 - nature.com
We report experiments on the dynamics of vibrated particles constrained in a two-
dimensional vertical container, motivated by the following question: how to get the most out …

Supratransmission in a disordered nonlinear periodic structure

B Yousefzadeh, AS Phani - Journal of Sound and Vibration, 2016 - Elsevier
We study the interaction among dispersion, nonlinearity, and disorder effects in the context
of wave transmission through a discrete periodic structure, subjected to continuous …

Superdiffusive transport and energy localization in disordered granular crystals

AJ Martínez, PG Kevrekidis, MA Porter - Physical Review E, 2016 - APS
We study the spreading of initially localized excitations in one-dimensional disordered
granular crystals. We thereby investigate localization phenomena in strongly nonlinear …