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A new assumed strain solid-shell formulation "SHB6" for the six-node prismatic finite element

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

URI
http://hdl.handle.net/10985/10193
DOI
10.1007/s12206-011-0710-7
Date
2011
Journal
Journal of Mechanical Science and Technology

Abstract

This paper presents the development of a new prismatic solid-shell finite element, denoted SHB6, obtained using a purely three-dimensional approach. This element has six nodes with displacements as the only degrees of freedom, and only requires two integration points distributed along a preferential direction, designated as the "thickness". Although geometrically three-dimensional, this element can be conveniently used to model thin structures while taking into account the various phenomena occurring across the thickness. A reduced integration scheme and specific projections of the strains are introduced, based on the assumed-strain method, in order to improve performance and to eliminate most locking effects. It is first shown that the adopted in-plane reduced integration does not generate "hourglass" modes, but the resulting SHB6 element exhibits some shear and thickness-type locking. This is common in linear triangular elements, in which the strain is constant. The paper details the formulation of this element and illustrates its capabilities through a set of various benchmark problems commonly used in the literature. In particular, it is shown that this new element plays a useful role as a complement to the SHB8PS hexahedral element, which enables one to mesh arbitrary geometries. Examples using both SHB6 and SHB8PS elements demonstrate the advantage of mixing these two solid-shell elements.

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