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 we review recent progress on the analysis, experimental exploration, and
application of elastic wave propagation in weakly nonlinear media and metamaterials. We …

In this paper, we report a new type of bandgap phenomenon called “amplitude-induced
bandgap”, which is induced by amplitude in nonlinear metamaterials. Generally, bandgap …

Wave propagation in metamaterial honeycombs endowed with periodically distributed
nonlinear resonators is addressed. The linear and nonlinear dispersion properties of the …

Inspired by the quantum spin Hall effect, we propose the first two-dimensional tunable
nonlinear topological insulator for acoustic waves that activates simply by inputting energy …

This book offers up novel research which uses analytical approaches to explore nonlinear
features exhibited by various dynamic processes. Relevant to disciplines across …

Including nonlinearity can lead to fascinating wave propagation behavior in phononic
crystals, broadening their possible applications in acoustic engineering. The current work …

Mode conversion of elastic waves is ubiquitous in solids and has various applications in
medical imaging, signal processing, vibration suppression, etc. Nonlinear harmonic …

This paper investigates evanescent waves in one-dimensional nonlinear monatomic chains
using a first-order Lindstedt-Poincaré approach. Perturbation approaches applied to …

We investigate the spectral properties of one-dimensional spatially modulated nonlinear
phononic lattices, and their evolution as a function of amplitude. In the linear regime, the …