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Méthodes isogéométrique multipatch pour des coques épaisses non linéaires avec contact

Abstract : The concept of isogeometric analysis generalizes the finite element method by the use of spline functions richer than the traditional Lagrange functions which impose an approximation of the considered geometry. Its main motivation is to link design with analysis by using the same geometrical models as supports for creation and numerical simulation. The isogeometric method have experimented these last years a very constant research activity and it is of interest to both the academic field and the industrial one. By construction of spline functions, the geometry created with a design software is necessarily composed of several domains (or patches). The majority of applications dealt with published work relates to simple parts, made of a few patches or even a single one, and are therefore not applicable to the industrial context. Some application fields still need to be developed, such as multipatch coupling and contact, in order to handle complex geometries in a robust and efficient way, combining accuracy and low computational cost. This thesis is strongly related to the automobile industry for which most of the geometries are thin structures and so can be modeled by thick shells. One of the main challenges will be to set up the multipatch isogeometric method, allowing the use of exact kinematic quantities, for Reissner-Mindlin shells requiring an efficient treatment of numerical locking. An original method concerning finite deformations, with large rotations of normal, will be proposed. The development of multipatch coupling and frictionless contact methods associated with a nonlinear thick shell model will allow the isogeometric method to be applied to a demanding industrial field.
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Submitted on : Wednesday, October 28, 2020 - 2:33:48 PM
Last modification on : Friday, October 30, 2020 - 3:10:15 AM

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  • HAL Id : tel-02982163, version 1

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Nicolas Adam. Méthodes isogéométrique multipatch pour des coques épaisses non linéaires avec contact. Mécanique des solides [physics.class-ph]. Institut Polytechnique de Paris, 2020. Français. ⟨NNT : 2020IPPAX039⟩. ⟨tel-02982163⟩

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