Some 30 years have passed since we learned that any velocity perturbation develops into a
propagating solitary wave in a granular chain, and over a decade has passed since we …

Mechanical impulse propagation in granular media depends strongly on the imposed
confinement conditions. In this work, the propagation of sound in a granular packing …

We examine the long-term behavior of nonintegrable, energy-conserved, one-dimensional
systems of macroscopic grains interacting via a contact-only generalized Hertz potential and …

We examine the long-term behaviour of non-integrable, energy-conserved, 1D systems of
macroscopic grains interacting via a contact-only generalized Hertz potential and held …

A highly nonlinear, fourth-order wave equation that models the continuum theory of long
wavelength pulses in weakly compressed, homogeneous, discrete chains with a general …

We develop a systematic methodology for classifying the periodic orbits of homogeneous
ordered granular chains with no dissipation, under the assumption that all granules oscillate …

Properties of solitary waves in precompressed Hertzian chains of particles are studied in the
long-wavelength limit using a well-known continuum model. Several main results are …

In this paper, we investigate head-on and overtaking collisions of two solitary waves
propagating in two-dimensional (2D) hexagonal packing confined in a rectangular region …

A momentary velocity perturbation at an edge of a granular chain with the grains barely
touching one another and held between fixed walls propagates as a solitary wave whereas …

Controlling mechanical wave propagation is crucial for addressing technological and
environmental challenges. These include preventing the vibration-induced structural failure …