Traveling waves in 2D hexagonal granular crystal lattices

Leonard, A.; Chong, C.; Kevrekidis, P. G.; Daraio, C.

doi:10.1007/s10035-014-0487-3

Title: Traveling waves in 2D hexagonal granular crystal lattices

Journal Article · Mon Apr 07 00:00:00 EDT 2014 · Granular Matter

DOI:https://doi.org/10.1007/s10035-014-0487-3· OSTI ID:1816270

Leonard, A. ^[1]; Chong, C. ^[2]; Kevrekidis, P. G. ^[2]; Daraio, C. ^[3]

California Institute of Technology (CalTech), Pasadena, CA (United States). Dept. of Civil and Mechanical Engineering
Univ. of Massachusetts, Amherst, MA (United States). Dept. of Mathematics and Statistics
California Institute of Technology (CalTech), Pasadena, CA (United States). Dept. of Aerospace Engineering (GALCIT)

This study describes the dynamic response of a two-dimensional hexagonal packing of uncompressed stainless steel spheres excited by localized impulsive loadings. The dynamics of the system are modeled using the Hertzian normal contact law. After the initial impact strikes the system, a characteristic wave structure emerges and continuously decays as it propagates through the lattice. Using an extension of the binary collision approximation for onedimensional chains, we predict its decay rate, which compares well with numerical simulations and experimental data. While the hexagonal lattice does not support constant speed traveling waves, we provide scaling relations that characterize the directional power law decay of the wave velocity for various angles of impact. Lastly, we discuss the effects of weak disorder on the directional amplitude decay rates.

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Research Organization:: Oak Ridge Associated Univ., Oak Ridge, TN (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-06OR23100

OSTI ID:: 1816270

Journal Information:: Granular Matter, Vol. 16, Issue 4; ISSN 1434-5021

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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