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Couches absorbantes pour la propagation d'ondes dans les sols non bornés à l’aide de la décomposition en sous-domaines et l'intégration temporelle hybride asynchrone

Abstract : The purpose of this thesis is to propose novel designs and formulations of different absorbing layers at the boundaries of finite element meshes for the numerical simulation of wave propagation in unbounded 2D and 3D media, in order to deal with complex soil-structure interaction problems in transient dynamics. Three absorbing layers are developed: Rayleigh Absorbing Layer, Kosloff Absorbing Layer and Perfectly Matched Layer (PML). By studying analytically the strong form of elastic wave propagation in each medium, the frequency-independent absorbing ability of Kosloff damping and PML is derived, whereas the attenuation due to Rayleigh damping turns out be frequency-dependent. The interface problem between a non-dissipative elastic medium and a dissipative medium has been investigated by considering the wave propagation in the continuous setting, in order to establish optimal conditions to further reduce the spurious waves reflected at the interface. The three absorbing layers are discretized in space by the finite element method, while the time discretization is based on the powerful and flexible HATI framework (Heterogeneous Asynchronous Time Integrator), enabling adopt the most suitable time integration schemes and time steps, depending on the characteristics and physical phenomena occurring in the different subdomains. The efficiency of three asynchronous hybrid absorbing layers for modeling unbounded domains has been illustrated in various 2D and 3D numerical applications, such as Lamb’s test in stratified heterogeneous media or soil-structure interaction problems involving wave barriers. Finally, implicit and explicit versions of asynchronous PML are implemented and tested in problems with a large number of degrees of freedom. It is proved to be more accurate and efficient than the absorbing layers based on Rayleigh and Kosloff damping.
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Sijia Li. Couches absorbantes pour la propagation d'ondes dans les sols non bornés à l’aide de la décomposition en sous-domaines et l'intégration temporelle hybride asynchrone. Génie civil. Université de Lyon, 2019. Français. ⟨NNT : 2019LYSEI042⟩. ⟨tel-02900509⟩

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