2026-09-21T22:44:53Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/87737 2023-07-11 col_2142_5131 col_2142_46414 com_2142_5130 com_2142_178 com_2142_234

Weaver, Richard L. Akolzin, Alexey Viktorovich 2015-09-28T16:23:45Z 2015-09-28T16:23:45Z 10000-01-01 2006 2006 Nonlinear coupling of elastodynamic waves within an elastic body leads to spectral energy redistribution. The coupling strength can exhibit a sharp increase as a function of frequency due to wavevector coincidences between constituent waves of different wave types. The phenomenon is investigated for an ensemble of weakly nonlinear elastodynamic billiards of a generic ray-chaotic shape, with wave fields inside the billiards being treated as fully diffuse and described by a universal statistical theory. A theoretical prediction of the average mode-coupling strength is obtained. Comparison is made between the theory and results of direct numerical simulations performed for an ensemble of two-dimensional rough-wall billiards. The frequency profile of the mode-coupling strength is verified. Made available in DSpace on 2015-09-28T16:23:45Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3250206.pdf: 2462866 bytes, checksum: cbdfd24292727c90796e445d4380b3f9 (MD5) Previous issue date: 2006 Embargo set by: Seth Robbins for item 89018 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 67 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006. http://hdl.handle.net/2142/87737 (MiAaPQ)AAI3250206 eng Physics, Condensed Matter Spectral Energy Dynamics and Wavevector Resonance in a Weakly Nonlinear Chaotic Elastodynamic Billiard text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.