Assumed-strain solid-shell formulation for the six-node finite element SHB6: Evaluation on non-linear benchmark problems
Article dans une revue avec comité de lecture
Date
2012Journal
Revue Européenne de Mécanique Numérique/European Journal of Computational MechanicsAbstract
The current contribution proposes a six-node prismatic solid-shell denoted as (SHB6). The formulation is extended to geometric and material non-linearities, and focus will be placed on its validation on non-linear benchmark problems. The resulting derivation only involves displacement DOF, as it is based on a fully 3D approach. The motivation behind this is to allow a natural mesh connexion in problems where both structural and continuum elements need to be used. Another major interest is to complement meshes that use hexahedral finite element, especially when free mesh generation tools are employed. The assumed-strain method is combined with an in-plane one-point quadrature scheme in order to reduce both locking phenomena and computational cost. A careful analysis of possible stiffness matrix rank deficiencies shows that this reduced integration does not induce hourglass modes.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
New prismatic solid-shell element: Assumed strain formulation and evaluation on benchmark problems Conférence invitéeTRINH, Vuong-Dieu; ABED-MERAIM, Farid; COMBESCURE, Alain; TRINH, Vuong-Dieu (John F. ABEL and J. Robert COOKE / Internet-First University Press, 2008)This paper presents the development of a six-node solid-shell finite element called (SHB6) and based on the assumed strain method adopted by Belytschko et al. [2]. It is integrated with a set of five Gauss points along a ...
-
Communication avec acteTRINH, Vuong-Dieu; ABED-MERAIM, Farid; COMBESCURE, Alain (Hermès-Lavoisier, 2007)Cet article décrit le développement d’un nouvel élément fini prismatique SHB6 de type solide-coque, obtenu à partir d’une formulation purement tridimensionnelle. Cet élément possède six nœuds et cinq points d’intégration ...
-
Article dans une revue avec comité de lectureTRINH, Vuong-Dieu; ABED-MERAIM, Farid; COMBESCURE, Alain (Viện Hàn Lâm Khoa học và Công nghệ Việt Nam, 2009)In this paper, the formulation of a new six-node solid–shell element denoted (SHB6) is proposed. This prismatic element is based on a purely three-dimensional approach, and hence has displacements as the only degrees of ...
-
Communication avec acteTRINH, Vuong-Dieu; ABED-MERAIM, Farid; COMBESCURE, Alain (2009)Une nouvelle formulation de l'élément solide–coque SHB6 est décrite. Il s'agit d'un élément isoparamétrique prismatique à 6 noeuds, interpolation linéaire et intégration réduite dans le plan moyen. Les déplacements sont ...
-
Communication avec acteTRINH, Vuong-Dieu; ABED-MERAIM, Farid; COMBESCURE, Alain (2013)Dans cet article, la formulation de deux éléments finis de type coque volumique sera présentée. Il s’agit d’un hexaèdre à vingt nœuds et d’un prisme à quinze nœuds obtenus à partir d’une approche purement tridimensionnelle. ...