000021659 001__ 21659
000021659 005__ 20170622131258.0
000021659 04107 $$aeng
000021659 046__ $$k2017-06-15
000021659 100__ $$aChabot, Simon
000021659 24500 $$aA HIGH-ORDER DISCONTINUOUS GALERKIN METHOD FOR 1D WAVE PROPAGATION IN NON-LINEAR HETEROGENEOUS MEDIA

000021659 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021659 260__ $$bNational Technical University of Athens, 2017
000021659 506__ $$arestricted
000021659 520__ $$2eng$$aDuring strong earthquakes, non-linear behaviour of soils is observed when the strain goes beyond the elasticity limit. In particular, this behaviour results in a shift of amplification peaks towards lower frequencies, the generation of high frequency harmonics, and the increase of hysteretic attenuation.These phenomena can have serious impacts on engineering structures at the surface. Therefore, it needs to be better understood and this understanding goes, for instance, through numerical simulations. Recent advances in computing power has led to the development of modern and efficient numerical methods for modelling seismic wave propagation in complex media. Among them, the discontinuous Galerkin finite element method (DG-FEM) constitutes one of the most interesting methodologies as it merges both the flexibility of finite element methods, the accuracy of high-order methods and the computational efficiency of fully local discretization of the wave equation. In this paper, we present a high-order discontinuous Galerkin method for 1D wave propagation in non-linear media. We propose a numerical upwind flux established for heterogeneous media, including the non-linear constitutive relationship between stress and strain. The proposed flux is quite general and can be extended as long as an explicit relationship between stress and strain is available. In the non-linear homogeneous context, the accuracy and the numerical convergence are studied by comparing numerical results with an analytical solution derived for this study. The expected theoretical convergence order is obtained, proving the good properties of the numerical method. Two applications are studied, first, the 1D wave propagation in non-linear elastic heterogeneous media and then, the 1D wave propagation in non-linear elastoplastic media including hysteresis. Both applications are compared to the linear elastic case considering the time history solutions and its frequency content. In particular, we discuss the impact of the non-linear model on the shift of the amplification peaks towards lower frequencies and the high frequency generation phenomena.

000021659 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021659 653__ $$a

000021659 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021659 720__ $$aChabot, Simon$$iBonilla, Fabian$$iMercerat, Diego$$iGlinsky, Nathalie
000021659 8560_ $$ffischerc@itam.cas.cz
000021659 8564_ $$s117439$$uhttps://invenio.itam.cas.cz/record/21659/files/17409.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS10] Advances in Numerical Methods for Linear and Non-Linear Dynamics and Wave Propagation
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000021659 962__ $$r21500
000021659 980__ $$aPAPER