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arXiv · 1808.03133

Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective

Junjiang Lai·Hongyu Liu·Jingni Xiao·Yifeng Xu
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Abstract

Elastic scattering governed by the Lame system associated with the third-type or fourth-type boundary condition is considered. It was shown in [8] by two of the authors that under suitable geometric conditions on the boundary surface of the elastic inclusion, the longitudinal and shear waves can be decoupled. The decoupling result in [8] was derived based on analyzing the local boundary behaviours of the elastic fields. In this article, we provide a different argument from a variational perspective in proving the decoupling result.

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Junjiang Lai, Hongyu Liu, Jingni Xiao, Yifeng Xu. 2018-08-09. Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective. https://doi.org/10.4208/eajam.080818.121018

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