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Formulation, développement et validation d'éléments finis de type coques volumiques sous-intégrés stabilisés utilisables pour des problemes a cinématique et comportement non linéaires

Abstract : The appeal to the software of simulation based on the finites elements method becoming more and more systematic in the various industrial sectors, the efficiency and the precision of these last ones become determining properties. In the most current situations, the thin structures require a precise and effective analysis, made possible by shell elements. In the presence of structures in which coexist thin parts and thicker zones, the use of these elements is even more crucial. This work is a contribution to the development and to the validation of finites elements solid-shells. The nodal displacements are the only degrees of freedom and they are provided of a set of integration's points distributed along a preferential direction called as “the thickness”. A reduced integration in the average plan is used. The 3D elastic behaviour is modified to approach the situation of shells and reduce the locking. Because of its particular formulations, these elements solid- shells connect naturally in the 3D elements and present a good performance in applications of thin structures and for problems dominated by the flexion. It is about three new elements iso-parametric SHB6, SHB15 and SHB20. The detailed analysis of potential deficiency of the kernel of the stiffness matrix revealed that these last ones don't have modes associated with a zero-energy and the stabilization is thus not necessary. Nevertheless, we propose modifications based on the method “Assumed Strain”, for the operator discretized gradient of the element SHB6, with the purpose to improve its speed of convergence. To illustrate the capacities of these elements, its performances are evaluated on varied patch-tests in linear or non-linear configurations, which are used in the literature to test the finites elements of type shells. In particular, it is shown that the new element SHB6 plays a very useful role as complement in the hexahedral element SHB8PS, what so allows us to mesh arbitrary geometries.
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https://pastel.archives-ouvertes.fr/pastel-00005082
Contributor : Ecole Arts Et Métiers Paristech <>
Submitted on : Tuesday, April 6, 2010 - 8:00:00 AM
Last modification on : Monday, April 16, 2018 - 10:41:41 AM
Long-term archiving on: : Friday, September 10, 2010 - 1:36:20 PM

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  • HAL Id : pastel-00005082, version 1

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Vuong-Dieu Trinh. Formulation, développement et validation d'éléments finis de type coques volumiques sous-intégrés stabilisés utilisables pour des problemes a cinématique et comportement non linéaires. Sciences de l'ingénieur [physics]. Arts et Métiers ParisTech, 2009. Français. ⟨NNT : 2009ENAM0008⟩. ⟨pastel-00005082⟩

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