Abstract
Nonlinear coupling within an elastic body leads to spectral energy redistribution. The coupling strength can exhibit sharp discontinuities as a function of frequencies, due to wave vector coincidences between constituent waves of different wave speeds. The phenomenon is investigated for an ensemble of weakly nonlinear elastic bodies of a generic ray-chaotic shape, with the elastodynamic field inside being treated as diffuse and described in a statistical fashion. Comparison is made between theoretical estimates of the average mode coupling strength and results of direct numerical simulations performed for an ensemble of 2D plane-strain elastic squares with rough boundaries and a model quadratic nonlinearity representative of elastodynamic waves. Existence of the wave vector resonance and its dependence upon frequency ratios is verified.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
