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 …

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 …

Lattice solitary traveling waves are nonlinear coherent structures that describe fundamental
mechanisms of energy transport and signal transmission in many physical settings. This …

In the present work, we experimentally implement, numerically compute with, and
theoretically analyze a configuration in the form of a single column woodpile periodic …

Acoustic metamaterials that allow low-frequency band gaps are interesting for many
practical engineering applications, where vibration control and sound insulation are …

The development of engineering technology puts forward more demanding requirements for
the performance of materials, many of which cannot be met by the existing natural materials …

The paper presents the main steps in the development of the strongly nonlinear wave
dynamics of discrete systems. The initial motivation was prompted by the challenges in the …

In this work, we study the wave propagation in a recently proposed acoustic structure, the
locally resonant granular crystal. This structure is composed of a one-dimensional granular …

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 …

Ordered granular structures have garnered considerable attention across various fields due
to their capacity to manipulate the transmission of mechanical energy and mitigate the …