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Green-function Method for Nonlinear Interactions of Elastic Waves

Demcenko, A; Mazilu, M; Reboud, J; Cooper, JM; (2019) Green-function Method for Nonlinear Interactions of Elastic Waves. In: 2019 IEEE International Ultrasonics Symposium (IUS). (pp. pp. 1859-1861). IEEE: Glasgow, UK. Green open access

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Abstract

In the linear wave propagation regime, an analytical mesh-free Green-function decomposition has been shown as a viable alternative to FDTD and FEM. However, its expansion into nonlinear regimes has remained elusive due to the inherent linear properties of the Green-function approach. This work presents a novel frequency-domain Green function method to describe and model nonlinear wave interactions in isotropic hyperelastic media. As an example of the capabilities of the method, we detail the generation of sum frequency waves when initial quasimonochromatic waves are emitted in a fluid by finite sources. The method is supported by both numerical and experimental results using immersion ultrasonic techniques.

Type: Proceedings paper
Title: Green-function Method for Nonlinear Interactions of Elastic Waves
Event: 2019 IEEE International Ultrasonics Symposium (IUS)
ISBN-13: 9781728145969
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/ULTSYM.2019.8926192
Publisher version: https://doi.org/10.1109/ULTSYM.2019.8926192
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Green functions, nonlinear ultrasonics, wave mixing
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10114402
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