A solid-like Fem for geometrically non-linear 3D frames

DOI10.1016/j.cma.2009.08.001zbMath1230.74174OpenAlexW2019117256MaRDI QIDQ660409

Humberto Breves Coda

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.08.001

zbMATH Keywords

finite elementframesnon-linearisoparametricsolid-likewarping mode

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

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• An alternative positional FEM formulation for geometrically nonlinear analysis of shells: Curved triangular isoparametric elements
• Large-deformation analysis of flexible beams
• Constrained dynamics of geometrically exact beams
• On the physical significance of higher-order kinematic and static variables in a three-dimensional shell formulation
• Finite element analysis of air-supported membrane structures
• On the role of frame invariance in structural mechanics models at finite rotations
• Large displacement analysis of three-dimensional beam structures
• Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
• An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics

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