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Preprints, Working Papers, ... (Working Paper) Year : 2023

Orthogonal modes of a fully anisotropic and heterogeneous elastic medium

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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Dates and versions

hal-04045491 , version 1 (24-03-2023)
hal-04045491 , version 2 (26-03-2023)
hal-04045491 , version 3 (28-03-2023)
hal-04045491 , version 4 (29-06-2023)

Identifiers

  • HAL Id : hal-04045491 , version 1

Cite

Laurent Seppecher. Orthogonal modes of a fully anisotropic and heterogeneous elastic medium. 2023. ⟨hal-04045491v1⟩
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