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

Thank you for opening the third edition of this monograph. The first edition [202] was
published in 1996 in the Lecture Notes in Control and Information Sciences series (vol. 220) …

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 …

We investigate via a combination of experiments and numerical analyses the collision of
elastic vector solitons in a chain of rigid units connected by flexible hinges. Because of the …

We study solitary waves in a one-dimensional lattice of identical masses that are connected
in series by nonlinear springs. The potential of each spring is nonconvex, where two disjoint …

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 …

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 …

This chapter describes the dynamic behavior of nonlinear periodic phononic structures,
along with how such structures can be utilized to affect the propagation of mechanical …

In this work, solitary wave solutions of particle mechanical metamaterials are studied, in
which the mass-in-mass structure with local resonators is considered. The Hertzian contact …

The dynamic dashpot models are widely used in EDEM commercial software. However,
most dashpot models suffer from a serious numerical issue in calculating the granular chain …