Comptes Rendus
Efficient PGD-based dynamic calculation of non-linear soil behavior
Comptes Rendus. Mécanique, Volume 344 (2016) no. 1, pp. 24-41.

Non-linear behavior of soils during a seismic event has a predominant role in current site response analysis. Soil response analysis consistently indicates that the stress–strain relationship of soils is non-linear and shows hysteresis. When focusing on forced response simulations, time integrations based on modal analysis are widely considered; however, parametric analysis, non-linear behavior and complex damping functions make difficult the online use of standard discretization strategies, e.g., those based on the use of finite element. In this paper, we propose a new harmonic analysis formulation, able to address forced response simulation of soils exhibiting their characteristic non-linear behavior. The solution can be evaluated in real-time from the offline construction of a parametric solution to the associated linearized problem within the Proper Generalized Decomposition framework.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2015.09.002
Mots clés : Proper Generalized Decomposition, Non-linear soil behavior, Harmonic analysis, Dynamics
Claudia Germoso 1 ; Jose V. Aguado 2 ; Alberto Fraile 1 ; Enrique Alarcon 1 ; Francisco Chinesta 2

1 School of Industrial Engineering (ETSII), Universidad Politécnica de Madrid (UPM), José Gutiérrez Abascal, 28006 Madrid, Spain
2 Institut de recherche en génie civil et mécanique (GeM UMR CNRS 6183), Ecole centrale de Nantes, 1, rue de la Noe, BP 92101, 44321 Nantes cedex 3, France
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Claudia Germoso; Jose V. Aguado; Alberto Fraile; Enrique Alarcon; Francisco Chinesta. Efficient PGD-based dynamic calculation of non-linear soil behavior. Comptes Rendus. Mécanique, Volume 344 (2016) no. 1, pp. 24-41. doi : 10.1016/j.crme.2015.09.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.09.002/

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