A new assumed strain solid-shell formulation "SHB6" for the six-node prismatic finite element
Article dans une revue avec comité de lecture
Date
2011Journal
Journal of Mechanical Science and TechnologyRésumé
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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New prismatic solid-shell element: Assumed strain formulation and evaluation on benchmark problems Conférence invitéeTRINH, Vuong-Dieu; COMBESCURE, Alain; TRINH, Vuong-Dieu; ABED-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 ...
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Formulation of new quadratic solid-shell elements and their evaluation on popular benchmark problems Communication sans acteOver the last decade, considerable progress has been made in the development of three-dimensional finite elements capable of modeling thin structures. The coupling between solid and shell formulations has proven to be an ...
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Conférence invitéeBecause accuracy and efficiency are the main features expected within the finite element (FE) method, the current contribution proposes a six-node prismatic solid–shell, denoted (SHB6). The formulation is extended here to ...
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Article dans une revue avec comité de lectureThis paper is concerned with the development of a new family of solid- shell finite elements. This concept of solid-shell elements is shown to have a number of attractive computational properties as compared to conventional ...
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Communication avec acteCe travail concerne le développement d’une nouvelle famille d’éléments finis (EF) de type coques volumiques quadratiques. Deux éléments seront présentés, un hexaèdre à vingt nœuds et un prisme à quinze nœuds, qui sont ...