Sat, 19 Jul 2008 04:42:27 BST CiteULike: norris's Leung http://www.citeulike.org/user/norris/author/Leung CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/2743201 <i></i> Eulerian Gaussian beams for high-frequency wave propagation Shingyu Leung Jianliang Qian Robert Burridge 2008-05-01T18:17:41-00:00 no-tag http://www.citeulike.org/user/norris/article/1172259 <i>Journal of Applied Physics, Vol. 99, No. 12. (2006)</i><br /><br />Locally resonant sonic materials exhibit strong sound attenuation bands in the audible frequency range due to resonance scattering of elastic waves. We compare the results of a finite element modal analysis of a single resonant unit with sound attenuation spectra obtained from wave propagation simulations based on the local interaction simulation approach. The modal analysis yields a complete prediction of all resonance modes including information on node locations, mode degeneration, and modes that do not attenuate sound due to geometrical symmetries. Elliptical instead of circular inclusions break the geometric symmetry of the resonators, splitting the attenuation peak of degenerate modes into separate peaks. A small frequency shift is observed between the resonance frequencies and the frequencies of maximum sound attenuation, due to the asymmetric shape of the attenuation peaks and interference between resonance scattering and free propagating waves. ©2006 American Institute of Physics Elastic wave propagation in locally resonant sonic material: Comparison between local interaction simulation approach and modal analysis Martin Hirsekorn Pier Delsanto Alan Leung Peter Matic doi:10.1063/1.2208528 Journal of Applied Physics, Vol. 99, No. 12. (2006) 2007-03-18T22:48:54-00:00 2006 Journal of Applied Physics 99 12 AIP phonons