A geometrically exact beam finite element for curved thin-walled bars with deformable cross-section
DOI10.1016/j.cma.2021.113804OpenAlexW3154954643MaRDI QIDQ2236956
Dinar Camotim, Rodrigo Gonçalves, Nuno Peres
Publication date: 26 October 2021
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.2021.113804
cross-section deformationthin-walled membersgeneralised beam theory (GBT)curved barsgeometrically exact beam finite elementslarge displacements and finite rotations
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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- Corotational mixed finite element formulation for thin-walled beams with generic cross-section
- A nonlinear hu-washizu variational formulation and related finite-element implementation for spatial beams with arbitrary moderate thick cross-sections
- Incorporation of wall finite relative rotations in a geometrically exact thin-walled beam element
- A large displacement and finite rotation thin-walled beam formulation including cross-section deformation
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- Extension of non-linear beam models with deformable cross sections
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- Co-rotational beam elements with warping effects in instability problems
- Anisotropic bending-torsion coupling for warping in a nonlinear beam
- A geometrical nonlinear eccentric 3D-beam element with arbitrary cross-sections
- Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids. I: Beam concept and geometrically exact nonlinear formulation. II: Anisotropic and advanced beam models
- Plastic instability of beam structures using co-rotational elements.
- A new approach to the calculation of cross-section deformation modes in the framework of generalized beam theory
- A geometrically exact isogeometric beam for large displacements and contacts
- Isogeometric analysis of 3D beams for arbitrarily large rotations: locking-free and path-independent solution without displacement DOFs inside the patch
- Isogeometric collocation for implicit dynamics of three-dimensional beams undergoing finite motions
- A large rotation finite element analysis of 3D beams by incremental rotation vector and exact strain measure with all the desirable features
- Geometrically exact thin-walled beam including warping formulated on the special Euclidean group \(SE(3)\)
- Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature
- On one-dimensional finite-strain beam theory: the plane problem
- A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
- A beam finite element non-linear theory with finite rotations
- On the differentiation of the Rodrigues formula and its significance for the vector‐like parameterization of Reissner–Simo beam theory
- Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
- A consistent theory of finite stretches and finite rotations, in space-curved beams of arbitrary cross-section
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