On a non-linear formulation for curved Timoshenko beam elements considering large displacement/rotation increments
From MaRDI portal
Publication:3776768
DOI10.1002/nme.1620260710zbMath0636.73059OpenAlexW2044601069WikidataQ59487039 ScholiaQ59487039MaRDI QIDQ3776768
E. N. Dvorkin, Eugenio Oñate, Javier Oliver
Publication date: 1988
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.1620260710
curved beam elementsincremental total Lagrangian formulationcomplete and symmetric tangent stiffness matrixlarge rotation increments
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05)
Related Items
On the differentiation of the Rodrigues formula and its significance for the vector‐like parameterization of Reissner–Simo beam theory, Modelling of damage accumulation and failure of structural members subjected to strong seismic actions, A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements, The finite deformation theory for beam, plate and shell. I: The two-dimensional beam theory, Nonlinear performance of continuum mechanics based beam elements focusing on large twisting behaviors, Non-linear spatial Timoshenko beam element with curvature interpolation, Immersogeometric fluid-structure interaction modeling and simulation of transcatheter aortic valve replacement, Nonlinear isogeometric spatial Bernoulli beam, A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors, An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams, A solid-beam finite element and non-linear constitutive modelling, LLM and X-FEM based interface modeling of fluid-thin structure interactions on a non-interface-fitted mesh, Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics, On the parametrization of finite rotations in computational mechanics. A classification of concepts with application to smooth shells, An efficient mixed interpolated curved beam element for geometrically nonlinear analysis, Unnamed Item, A shell element for finite strain analyses: hyperelastic material models, Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach, Static and dynamic FE analysis of piezolaminated composite shells considering electric field nonlinearity under thermo-electro-mechanical loads, The finite deformation theory for beam, plate and shell. III: The three-dimensional beam theory and the FE formulation, Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature, 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, Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam, A finite element formulation for a geometrically exact Kirchhoff-Love beam based on constrained translation, A WEAK-WEAK FORMULATION FOR LARGE DISPLACEMENTS BEAM STATICS: A FINITE VOLUMES APPROXIMATION, SPATIAL STABILITY ANALYSIS OF THIN-WALLED SPACE FRAMES