Mechanical metamaterials and phononic crystals enable localizing, focusing, and guiding of
elastic or acoustic waves in various ways. Here, we describe the physical mechanisms …

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 …

Linear acoustic metamaterials (LAMs) are widely used to manipulate sound; however, it is
challenging to obtain bandgaps with a generalized width (ratio of the bandgap width to its …

The prediction of extreme events, from avalanches and droughts to tsunamis and epidemics,
depends on the formulation and analysis of relevant, complex dynamical systems. Such …

Phononic materials are periodically arranged building blocks in the form of material
properties, geometries, and/or boundary conditions. This synthetic architecture makes …

In this paper, a tunable beam-type metamaterial composed of elastic base beams and
periodically arrayed active beam-type resonators is designed and analyzed theoretically …

Nonlinear waves on periodic backgrounds play an important role in physical systems. In this
study, nonlinear waves that include solitons, breathers, rogue waves, and semi‐rational …

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 …

The propagation of waves in nonlinear acoustic metamaterial (NAM) is fundamentally
different from that in conventional linear ones. In this article we consider two one …