New prismatic solid-shell element: Assumed strain formulation and evaluation on benchmark problems

Vuong-Dieu Trinh (1, 2) , Farid Abed-Meraim (2) , Alain Combescure (3)

1 LAMSID - UMR 8193 - Laboratoire de Mécanique des Structures Industrielles Durables
2 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
3 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]

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 special direction, denoted “thickness”, and with only one point in the other in-plane directions. Its discrete gradient is modified in order to attenuate shear and membrane locking. A series of popular linear benchmark problems has been carried out with comparisons to geometrically similar, low-order three-dimensional elements.

Mots clés: Shell Finite Elements; Non-linear applications; Sold-Shell Elements; Geometry

Domaines: Génie des procédés; Matériaux; Mécanique [physics.med-ph]; Génie mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]

Vuong-Dieu Trinh, Farid Abed-Meraim, Alain Combescure. New prismatic solid-shell element: Assumed strain formulation and evaluation on benchmark problems. 6th International Conference on Computation of Shell and Spatial Structures IASS-IACM 2008, May 2008, Ithaca, United States. ⟨hal-01224492⟩