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Mise en oeuvre de la méthode des éléments naturels contrainte en 3D : application au cisaillage adiabatique

Abstract : This work deals with the implementation in 3D of the Constrained Natural Element Method CNEM in order to use it in the simulation of high speed shearing problems. The CNEM is a member of the large family of mesh-free methods, that is at the same time very close to the finite element method. The CNEM's shape function is built using the constraint Voronoï diagram (the dual of the constraint Delaunay tessellation) of a set of nodes defining both the whole domain and its boundaries. The implementation comprises three principal aspects :i) the built of the constrained Voronoï diagram, ii) the Sibson-type CNEM shape functions computation, iii) the discretization of a generic variational formulation by invoking an
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https://pastel.archives-ouvertes.fr/pastel-00004035
Contributor : Ecole Arts Et Métiers Paristech <>
Submitted on : Friday, December 5, 2008 - 8:00:00 AM
Last modification on : Monday, October 19, 2020 - 11:07:52 AM
Long-term archiving on: : Friday, September 10, 2010 - 12:47:37 PM

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Amran Lounès Illoul. Mise en oeuvre de la méthode des éléments naturels contrainte en 3D : application au cisaillage adiabatique. Sciences de l'ingénieur [physics]. Arts et Métiers ParisTech, 2008. Français. ⟨NNT : 2008ENAM0015⟩. ⟨pastel-00004035⟩

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