Delayed Scattering of Solitary Waves from Interfaces in a Granular Container

Abstract

In granular media, the characterization of the behavior of solitary waves around interfaces is of importance in order to look for more applications of these systems. We study the behavior of solitary waves at both interfaces of a symmetric granular container, a class of systems that has received recent attention because it posses the feature of energy trapping. Hertzian contact is assumed. We have found that the scattering process is elastic at one interface, while at the other interface it is observed that the transmitted solitary wave has stopped its movement during a time that gets longer when the ratio between masses at the interfaces increases. The origin of this effect can be traced back to the phenomenon of gaps opening, recently observed experimentally.

arXiv commentTo appear in Physical Review E, vol 74

References in corpus (5)

• Energy trapping and shock disintegration in a composite granular medium
• Anomalous wave reflection from the interface of two strongly nonlinear granular media
• How Hertzian solitary waves interact with boundaries in a 1-D granular medium
• Pulse Velocity in a Granular Chain
• Scattering of solitary waves in granular media

Cited by in corpus (9)

• Dissipative Solitary Waves in Granular Crystals
• Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains
• Wave propagation and pattern formation in two-dimensional hexagonally-packed granular crystals under various configurations
• Localizing energy in granular materials
• The equilibrium phase in heterogeneous Hertzian chains
• Wave propagation across interfaces induced by different interaction exponents in ordered and disordered Hertz-like granular chains
• Nanoptera in nonlinear woodpile chains with zero precompression
• Long wavelength solitary waves in Hertzian chains and their properties in different nonlinearity regimes
• Nanoptera in weakly nonlinear woodpile and diatomic granular chains