Intégration d'un modèle de comportement élastoplastique à transitions d'échelles dans un code de calcul de structures par éléments finis

Abstract : To predict the response of polycrystalline materials, under any loading path, for instance during a complex sheet metal drawing processes, a self-consistent approach of the anisotropic elastoplastic behaviour of materials is implemented in a large deformation finite element formulation. Each integration point of the finite element mesh is materialized with a set of single crystals (grains). The macroscopic behaviour at these particular material points is then deduced from the mechanical properties of the grains using self-consistent concentration tensor and Hill-Mandel's average relations. The Newton-Raphson method is used to solve the incremental form of the principle of virtual work which is expressed in a convected coordinate system. The term of the tangent stiffness matrix describing the elastoplastic behaviour is deduced from microscopic variables. Various simulations, performed with a two-dimensionnal finite element analysis code, illustrate the capabilities of this approach
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Eric Scacciatella. Intégration d'un modèle de comportement élastoplastique à transitions d'échelles dans un code de calcul de structures par éléments finis. Autre [cond-mat.other]. Université Paul Verlaine - Metz, 1994. Français. ⟨NNT : 1994METZ010S⟩. ⟨tel-01776040⟩

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