Journal ArticleDOI
Flexure and torsion locking phenomena in out-of-plane deformation of Timoshenko curved beam element
TLDR
In this paper, a study on performance sensitivity of straight and curved Timoshenko beam finite elements to flexure-to-shear (EI/GA) stiffness ratios is carried out.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2012-04-01. It has received 30 citations till now. The article focuses on the topics: Timoshenko beam theory & Torsion (mechanics).read more
Citations
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Journal ArticleDOI
B-Spline interpolation of Kirchhoff-Love space rods
Leopoldo Greco,Massimo Cuomo +1 more
TL;DR: In this article, an isogeometric analysis via B-splines of space rods under Kirchhoff-love hypotheses is presented for 3D exact curve elements with geometric torsion.
Journal ArticleDOI
Locking free isogeometric formulations of curved thick beams
TL;DR: In this article, the authors investigated the use of higher order NURBS to address static straight and curved Timoshenko beam with several approaches usually used in standard locking free finite elements.
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An isogeometric implicit G1 mixed finite element for Kirchhoff space rods
Leopoldo Greco,Massimo Cuomo +1 more
TL;DR: In this paper, a multi patch isogeometric mixed element with implicit geometric continuity at the ends is presented for the analysis of non polar Kirchhoff space rods, where the internal forces are interpolated by means of an L 2 projection leading to a B formulation.
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Efficient isogeometric NURBS-based solid-shell elements: Mixed formulation and B¯-method
TL;DR: In this paper, solid-shell NURBS elements are developed in order to address static problems of slender structures under small perturbations, where a single layer of elements is considered through the thickness of the shell, and the degree of approximation in that direction is chosen to be equal to two.
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An efficient blended mixed B-spline formulation for removing membrane locking in plane curved Kirchhoff rods
Leopoldo Greco,Massimo Cuomo,Massimo Cuomo,Loredana Contrafatto,Loredana Contrafatto,Salvatore Gazzo,Salvatore Gazzo +6 more
TL;DR: In this paper, an efficient spline reconstruction of the assumed axial strains obtained by means of a local projection at the element level is performed using the method proposed by Thomas et al. (2015).
References
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Book
Energy principles and variational methods in applied mechanics
TL;DR: In this paper, the authors present a review of the work, energy, and variational calculus of solid mechanics and their application in the analysis of plate models. But their focus is on the theory and analysis of plates.
Journal ArticleDOI
Reduced and selective integration techniques in the finite element analysis of plates
TL;DR: In this paper, the authors developed a thin plate theory in which transverse shear strains are accounted for, and the variables in the theory are all kinematic, namely, displacements and independent rotations.
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On locking-free shear deformable beam finite elements
TL;DR: In this article, a locking-free finite element model using the form of the exact solution of the Timoshenko beam theory is developed, which yields exact nodal values for the generalized displacements for constant material and geometric properties of beams.
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Membrane Locking and Reduced Integration for Curved Elements
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Shear and membrane locking in curved C0 elements
TL;DR: In this article, the locking phenomena in C 0 curved finite elements are studied for displacement, hybrid-stress and mixed formulations, and it is shown that for a curved beam element, locking is interrelated and either shear or membrane underintegration can alleviate it.