Méthode X-SFEM pour le calcul de structure à géométrie aléatoire : application au calcul d'un joint de soudure
Résumé
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 the use of the level set technique for the implicit description of the random geometry and the use of Galerkin approximation at deterministic and stochastic levels. Here, this method is applied to the analysis of a random welded joint.
Domaines
Mécanique [physics]
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