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 …

Highly nonlinear solitary waves in chains of cylindrical particles

D Khatri, D Ngo, C Daraio - Granular Matter, 2012 - Springer
We study the dynamic response of uniform granular chains composed of short cylindrical
particles excited by an impulse. The particles in the chains are arranged with their axes …

[HTML][HTML] Traveling waves in 2D hexagonal granular crystal lattices

A Leonard, C Chong, PG Kevrekidis, C Daraio - Granular Matter, 2014 - Springer
This study describes the dynamic response of a two-dimensional hexagonal packing of
uncompressed stainless steel spheres excited by localized impulsive loadings. The …

[图书][B] Multiple impacts in dissipative granular chains

NS Nguyen, B Brogliato - 2013 - books.google.com
The extension of collision models for single impacts between two bodies, to the case of
multiple impacts (which take place when several collisions occur at the same time in a …

Nonlinear waves in disordered diatomic granular chains

L Ponson, N Boechler, YM Lai, MA Porter… - Physical Review E …, 2010 - APS
We investigate the propagation and scattering of highly nonlinear waves in disordered
granular chains composed of diatomic (two-mass) units of spheres that interact via Hertzian …

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 …

Experimental evidence of solitary wave interaction in Hertzian chains

F Santibanez, R Munoz, A Caussarieu, S Job… - Physical Review E …, 2011 - APS
We study experimentally the interaction between two solitary waves that approach one
another in a linear chain of spheres interacting via the Hertz potential. When these …

Frequency filtering in disordered granular chains

BP Lawney, S Luding - Acta mechanica, 2014 - Springer
The study of disorder-induced frequency filtering is presented for one-dimensional systems
composed of random, pre-stressed masses interacting through both linear and nonlinear …

Nonlinear low-to-high-frequency energy cascades in diatomic granular crystals

E Kim, R Chaunsali, H Xu, J Jaworski, J Yang… - Physical Review E, 2015 - APS
We study wave propagation in strongly nonlinear one-dimensional diatomic granular
crystals under an impact load. Depending on the mass ratio of the “light” to “heavy” beads …