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Published December 15, 2014 | Submitted
Journal Article Open

Wave mitigation in ordered networks of granular chains


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.

Additional Information

© 2014 Elsevier Ltd. Received 29 November 2012; Received in revised form 9 May 2014; Accepted 21 August 2014; Available online 29 August 2014. This work was supported in part by the Department of Energy Office of Science Graduate Fellowship Program (DOE SCGF), made possible in part by the American Recovery and Reinvestment Act of 2009, administrated by ORISE-ORAU under Contract DE-AC05-06OR23100. Laurent Ponson gratefully acknowledges the support of the European Union through the Marie Curie integration grant "ToughBridge" n° 294025.


The authors regret that an important funding acknowledgment was not included in the Acknowledgment section of their article. The authors wish to add: This work was supported by the Army Research Office MURI, Project no. W911NF0910436.

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