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Published December 12, 2012 | Published
Journal Article Open

Wave propagation in square granular crystals with spherical interstitial intruders


We investigate the propagation and scattering of highly nonlinear waves in granular systems composed of spheres in contact arranged in a square packing, and study how the presence of small and light spherical interstitial defects, also referred to as intruders, affects the wave propagation. The effects of a single defect are investigated experimentally and compared to numerical simulations, showing very good quantitative agreement. Transmitted and scattered waves are formed, whose characteristics depend on the material properties of the defect in relation to the properties of the particles in the lattice. Experiments and numerical simulations reveal that stiffer defects are more efficient at redistributing energy outside the impacted chain and soft defects induce a localization of the energy at the defect. Finally, the effects of the presence of two defects, placed diagonally or aligned in the square packing are also investigated, as well as how their interaction depends on their relative positions.

Additional Information

© 2012 American Physical Society. Received 21 June 2012; published 12 December 2012. This work was supported by MURI grant US ARO W911NF-09-1-0436 (Dr. David Stepp is the grant monitor), and by the National Science Foundation (award number NSF/CMMI-844540-CAREER). We thank F. Fraternali, D. Tortorelli, and M. Silva Sohn for useful discussions.

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Published - PhysRevE.86.061306.pdf


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