Méthode des éléments finis stochastiques étendus pour le calcul de structure à géométrie aléatoire

Abstract : In structural analysis, stochastic finite element methods offer a robust tool to deal with randomness on material properties or loadings. Unfortunately, there is still no available efficient strategy to deal with uncertainties on the geometry. Here, we bring an answer to this problem by proposing a new method based on an extension to the stochastic framework of the eXtended Finite Element Method (X-FEM). This method lies on three major points : the implicit description of geometry by the level-set technique, the use of Galerkin approximation at space and stochastic levels and the use of the partition of unity method for the enrichment of the finite element approximation space.
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Alexandre Clément, Anthony Nouy, Franck Schoefs, Nicolas Moës. Méthode des éléments finis stochastiques étendus pour le calcul de structure à géométrie aléatoire. 8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France. ⟨hal-01495586⟩

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