PMID: 11909291Mar 23, 2002Paper

Trapping of vibrational energy in crumpled sheets

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ajay GopinathanS C Venkataramani

Abstract

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.

References

Jul 15, 1988·Physical Review A: General Physics·H S Seung, D R Nelson
Apr 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A E Lobkovsky
Nov 3, 2001·Physical Review Letters·B A DiDonna, T A Witten

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Citations

Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B A DiDonna
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tao Liang
Aug 6, 2013·Physical Review Letters·Arthur A Evans, Alex J Levine
Feb 1, 2008·Physical Review Letters·Arezki BoudaoudFrancisco Melo
Apr 7, 2010·Physical Review Letters·Marcel Filoche, Svitlana Mayboroda
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G SeizillesA Boudaoud
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander S BalankinMiguel Angel Martínez Cruz
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C C Donato, M A F Gomes

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