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arXiv · 2303.14984

Orthogonal modes of a fully anisotropic and heterogeneous elastic medium

Laurent Seppecher
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Abstract

The aim of this short note is to give a synthetic presentation of the mathematical elements that are used to solve the elastic wave system of equations in a bounded anisotropic elastic body, in a general framework. In particular, the proof of existence of a basis of orthogonal modes is given. We explain how these modes can by used to efficiently approach dynamic problems in time or harmonic regimes.

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Laurent Seppecher. 2023-03-27. Orthogonal modes of a fully anisotropic and heterogeneous elastic medium. https://arxiv.org/abs/2303.14984

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