An analysis of composite beams by means of hierarchical finite elements and a variables separation method. (1st October 2015)

• Record Type: Journal Article
• Authors: Polit, O.; Gallimard, L.; Vidal, P.; D'Ottavio, M.; Giunta, G.; Belouettar, S.
• Is Part Of: Computers & structures. Volume 158(2015)
• Page Start: 15
• Page End: 29
• Publication Date: 2015-10-01
• Subjects: Three-dimensional beam structures -- One-dimensional hierarchical modelling -- Finite element modelling -- Proper Generalised Decomposition -- Composite materials; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2015.05.033
• Languages: English
• ISSNs: 0045-7949

Abstract

Abstract: Laminated composite three-dimensional beams are investigated by means of hierarchical one-dimensional finite elements and a space decomposition approach. The global three-dimensional problem is separated by a Proper Generalised Decomposition into two coupled ones over the cross-section approximation space and on the beam axis approximation space. The size of the resulting problem is smaller than that of a classical equivalent finite element solution. The approximation of the displacements versus the cross-section and along the axis are general regardless the kinematic expansion order and the number of nodes per element thanks to a Unified Formulation. Accurate yet computationally affordable solutions are obtained.