Green-function method for nonlinear interactions of elastic waves
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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 quasi-monochromatic waves are emitted in a fluid by finite sources. The method is supported by both numerical and experimental results using immersion ultrasonic techniques.
Demčenko , A , Mazilu , M , Reboud , J & Cooper , J 2019 , Green-function method for nonlinear interactions of elastic waves . in Proceedings 2019 IEEE International Ultrasonics Symposium (IUS) . IEEE International Ultrasonics Symposium (IUS) , Institute of Electrical and Electronics Engineers Inc. , pp. 1859-1861 , 2019 IEEE International Ultrasonics Symposium (IUS) , Glasgow , United Kingdom , 6/10/19 . https://doi.org/10.1109/ULTSYM.2019.8926192conference
Proceedings 2019 IEEE International Ultrasonics Symposium (IUS)
Copyright © 2019 IEEE. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1109/ULTSYM.2019.8926192
DescriptionFunding: UK Engineering and Physical Sciences Research Council Fellowship under Grant EP/K027611/1 and in part by the European Research Council advanced investigator award under Grant 340117.
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