Wave mitigation in ordered networks of granular chains

Abstract

We study the propagation of stress waves through ordered 2D networks of granular chains. The quasi-particle continuum theory employed captures the acoustic pulse splitting, bending, and recombination through the network and is used to derive its effective acoustic properties. The strong wave mitigation properties of the network predicted theoretically are confirmed through both numerical simulations and experimental tests. In particular, the leading pulse amplitude propagating through the system is shown to decay exponentially with the propagation distance and the spatial structure of the transmitted wave shows an exponential localization along the direction of the incident wave. The length scales that characterized these exponential decays are studied and determined as a function of the geometrical properties of the network. These results open avenues for the design of efficient impact mitigating structures and provide new insights into the mechanisms of wave propagation in granular matter.

submitted to Journal of the Mechanics and Physics of Solids

References in corpus (4)

• How Hertzian solitary waves interact with boundaries in a 1-D granular medium
• Particle Scale Dynamics in Granular Impact
• Solitary wave trains in granular chains: Experiments, theory and simulations
• Sound propagation and force chains in granular materials

Cited by in corpus (5)

• Mechanical modeling of innovative metamaterials alternating pentamode lattices and confinement plates
• Topological and geometric measurements of force chain structure
• Extreme control of impulse transmission by cylinder-based nonlinear phononic crystals
• Dynamics of Dirac solitons in networks
• Evolution of Adaptive Force Chains in Reconfigurable Granular Metamaterials