Phys. Rev. E 65, 036613 (2002) [11 pages]Trapping of vibrational energy in crumpled sheetsReceived 3 September 2001; published 21 February 2002 We investigate the propagation of transverse elastic waves in crumpled media. We set up the wave equation for transverse waves on a generic curved, strained surface via a Langrangian formalism and use this to study the scaling behavior of the dispersion curves near the ridges and on the flat facets. This analysis suggests that ridges act as barriers to wave propagation and that modes in a certain frequency regime could be trapped in the facets. A simulation study of the wave propagation qualitatively supported our analysis and showed interesting effects of the ridges on wave propagation. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.036613
DOI:
10.1103/PhysRevE.65.036613
PACS:
03.50.-z, 46.40.-f, 68.55.Jk
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