Resolution of linear viscoelastic equations in the frequency domain using real Helmholtz boundary integral equations |
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Authors: | St phanie Chaillat,Huy Duong Bui |
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Affiliation: | aLMS, CNRS UMR 7649, École polytechnique, 91128 Palaiseau cedex, France;bLCPC, 58, boulevard Lefebvre, 75732 Paris cedex 15, France;cLamsid/EDF/R&D, 1, avenue du Général de Gaulle, 92141 Clamart, France |
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Abstract: | Boundary integral equations are well suitable for the analysis of seismic waves propagation in unbounded domains. Formulations in elastodynamics are well developed. In contrast, for the dynamic analysis of viscoelastic media, there are very seldom formulations by boundary integral equations. In this Note, we propose a new and simple formulation of time harmonic viscoelasticity with the Zener model, which reduces to classical elastodynamics if a compatibility condition is satisfied by boundary conditions. Intermediate variables which satisfy the classical elastodynamic equations are introduced. It makes it possible to utilize existing numerical tools of time harmonic elastodynamics. To cite this article: S. Chaillat, H.D. Bui, C. R. Mecanique 335 (2007). |
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Keywords: | Computational solid mechanics Viscoelasticity Boundary integral equationsMots-clé s: Mé canique des solides numé rique Viscoé lasticité É quations inté grales de frontiè re |
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