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            <title xml:lang="fr">Algorithme "Temps-Fréquence" pour la dynamique non linéaire en interaction sol-structure</title>
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                <term xml:lang="en"> nonlinear FEM-BEM</term>
                <term xml:lang="en"> soil-structure interaction</term>
                <term xml:lang="en"> time domain</term>
                <term xml:lang="en">frequency domain</term>
                <term xml:lang="fr"> couplage non linéaire</term>
                <term xml:lang="fr"> FEM-BEM</term>
                <term xml:lang="fr"> interaction sol-structure</term>
                <term xml:lang="fr"> domaine temporel</term>
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              <p>Soil-structure interaction problems are modeled coupling finite elements and boundary elements, assuming linear interaction between the two domains. For nonlinear soil-structure interaction problems, a "Time-Frequency" algorithm is presented to solve the coupling problem of frequency dependant stiffness and nonlinear contact. Most of the time, these problems have to be analysed in the time domain while most effective linear models are in the frequency domain. In this paper, an approach to nonlinear interaction problems is elaborated coupling time and frequency domain. It allows the numerical computation of the soil stiffness in frequency domain and the residual term due to nonlinear forces in the time domain. The results given here validate the method and demonstrate its efficiency. Moreover, the importance of the partial uplift of foundation considering soil-structure interaction is illustrated.</p>
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              <p>En interaction dynamique sol-structure, les méthodes de couplage éléments finis-éléments de frontière sont généralement utilisées pour des modélisations de contact parfait entre les deux milieux. Pour les problèmes d'interaction sol-structure non-linéaires traités ici, une formulation "Temps-Fréquence" est présentée pour résoudre le couplage entre l'impédance dynamique du sol fréquentiellement dépendante et les phénomènes non linéaires provenant des décollements de la fondation pouvant apparaître lors d'épisodes sismiques de grande ampleur. Les décollements de fondation sont d'ordinaire pris en compte en simplifiant le domaine sol en simple ressorts non-linéaires ou en modélisant le domaine proche par éléments finis. Le schéma numérique utilisé est alors incrémental. Nous présentons une alternative intéressante à ce schéma pour supprimer cette approximation et approcher efficacement les non linéarités de contact entre le sol et la fondation.</p>
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