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Title:Spectral Energy Dynamics and Wavevector Resonance in a Weakly Nonlinear Chaotic Elastodynamic Billiard
Author(s):Akolzin, Alexey Viktorovich
Doctoral Committee Chair(s):Weaver, Richard L.
Department / Program:Theoretical and Applied Mechanics
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Physics, Condensed Matter
Abstract: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.
Issue Date:2006
Description:67 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
Other Identifier(s):(MiAaPQ)AAI3250206
Date Available in IDEALS:2015-09-28
Date Deposited:2006

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