• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)
  • View Item
  • Home
  • Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

A new prismatic solid-shell element 'SHB6' : assumed-strain formulation and evaluation on benchmark problems

Article dans une revue avec comité de lecture
Author
TRINH, Vuong-Dieu
COMBESCURE, Alain
31214 Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] [LaMCoS]
ccABED-MERAIM, Farid 
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]

URI
http://vjs.ac.vn/index.php/vjmech/article/view/5654
http://hdl.handle.net/10985/10256
DOI
10.15625/0866-7136/3-4/5654
Date
2009
Journal
Vietnam Journal of Mechanics

Abstract

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 freedom. A reduced integration scheme is adopted consisting of one-point in-plane quadrature and an arbitrary number of integration points, with a minimum number of two, distributed along the ‘thickness’ direction. Moreover, in order to enhance its performance and to greatly reduce most locking effects, specific projections are introduced based on the assumed-strain method. The resulting derivation can then be used to model thin structural problems, while taking into account the various through-thickness phenomena. A careful analysis of potential stiffness matrix rank deficiencies reveals that no hourglass modes need to be controlled. However, without assumed-strain method, the element exhibits some shear and thickness-type locking, which is common in linear triangular elements associated with constant strain states. After the formulation of the element is detailed, its performance is assessed through a set of representative benchmark problems illustrating its capabilities in various situations. More specifically, this prismatic solid–shell element proves to be an essential complement to the SHB8PS hexahedral element in meshing arbitrarily complex geometries.

Files in this item

Name:
LEM3_VJM_2009_TRINH.PDF
Size:
517.3Kb
Format:
PDF
View/Open

Collections

  • Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)

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 invitée
    TRINH, Vuong-Dieu; COMBESCURE, Alain; TRINH, Vuong-Dieu; ccABED-MERAIM, Farid  (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 ...
  • Formulation d’éléments finis quadratiques de type solide-coque et leur évaluation sur des cas tests standards 
    Communication avec acte
    TRINH, Vuong-Dieu; COMBESCURE, Alain; ccABED-MERAIM, Farid  (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. ...
  • 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
    TRINH, Vuong-Dieu; COMBESCURE, Alain; ccABED-MERAIM, Farid  (Hermès / Paris : Lavoisier, 2012)
    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 ...
  • New quadratic solid-shell elements and their evaluation on popular benchmark problems 
    Communication sans acte
    TRINH, Vuong-Dieu; COMBESCURE, Alain; ccABED-MERAIM, Farid  (Pavel Solin, Pavel Karban, Jaroslav Kruis, 2012)
    In recent years, considerable effort has been devoted to the development of 3D finite elements able to model thin structures (Cho et al., 1998; Sze and Yao, 2000; Abed-Meraim and Combescure, 2002; Vu-Quoc and Tan, 2003; ...
  • Développement d’un nouvel élément fini prismatique « SHB6 » de type solide–coque : formulation et évaluation à travers des cas tests 
    Communication avec acte
    TRINH, Vuong-Dieu; COMBESCURE, Alain; ccABED-MERAIM, Farid  (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 ...

Browse

All SAMCommunities & CollectionsAuthorsIssue DateCenter / InstitutionThis CollectionAuthorsIssue DateCenter / Institution

Newsletter

Latest newsletterPrevious newsletters

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales