Phononic crystals (PCs) and metamaterials (MMs) can exhibit abnormal properties, even far
beyond those found in nature, through artificial design of the topology or ordered structure of …

In this article, we review linear and nonlinear wave propagation in granular metamaterials
with local resonances. The granular structures having inherent nonlinearity in contact …

The proposed structure comprises an array of elastomeric helices that can be easily
stretched in the axial direction (see Figure 1). In the undeformed configuration the helices …

Nanoelectromechanical systems (NEMS) that operate in the megahertz (MHz) regime allow
energy transducibility between different physical domains. For example, they convert optical …

The combined characteristics of periodic and locally resonant features in metamaterial
structures, or meta-structures, give rise to unique wave propagation characteristics such as …

The propagation of acoustic and elastic waves in time-varying, spatially homogeneous
media can exhibit different phenomena when compared to traditional spatially varying …

We study wave propagation in a chain of spherical particles containing a local resonator.
The resonant particles are made of an aluminum outer spherical shell and a steel inner …

We study the formation of frequency band gaps in single column woodpile phononic crystals
composed of orthogonally stacked slender cylinders. We focus on investigating the effect of …

This paper theoretically and numerically investigates a topological interface state in a highly
tunable granular crystal. This system allows us to tune the contact stiffness in a controllable …

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 …