Co-rotational beam elements with warping effects in instability problems

From MaRDI portal
Publication:1348308

DOI10.1016/S0045-7825(01)00352-8zbMath1098.74680MaRDI QIDQ1348308

Jean-Marc Battini, Costin Pacoste

Publication date: 15 May 2002

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




Related Items (51)

Constitutive and geometric nonlinear models for the seismic analysis of RC structures with energy dissipatorsOn the choice of the linear element for corotational triangular shellsCo-rotational finite element formulation for thin-walled beams with generic open sectionGeometrically nonlinear analysis of shell structures using a flat triangular shell finite elementThree-dimensional finite rotations treatment based on a minimal set parameterization and vector space operations in beam elementsIdentifying critical loads of frame structures with equilibrium equations in rate formAn objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rodsA high-precision co-rotational formulation of 3D beam elements for dynamic analysis of flexible multibody systemsA consistent strain-based beam element with quaternion representation of rotationsA large rotation finite element analysis of 3D beams by incremental rotation vector and exact strain measure with all the desirable featuresGeneralized quasicontinuum modeling of metallic lattices with geometrical and material nonlinearity and variabilityA four-node corotational quadrilateral elastoplastic shell element using vectorial rotational variablesAnalysis of 2-D bimodular materials and wrinkled membranes based on the parametric variational principle and co-rotational approachAn equilibrium‐based formulation with nonlinear configuration dependent interpolation for geometrically exact 3D beamsCorotational force-based beam finite element with rigid joint offsets for 3D framed structuresA contact formulation using local frame of \(SE(3)\) group for corotational beam against rigid solid via moving signed distance fieldAN APPROACH TO STATICAL AND QUASI-STATICAL NONLINEAR ANALYSIS OF STRUCTURES IN SMALL STRAINS AND FINITE ROTATIONS HYPOTHESESImproved minimal augmentation procedure for the direct computation of critical points.Corotational mixed finite element formulation for thin-walled beams with generic cross-sectionFinite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures.A mixed hybrid finite beam element with an interface to arbitrary three-dimensional material modelsA consistent 3D corotational beam element for nonlinear dynamic analysis of flexible structuresA nonlinear hu-washizu variational formulation and related finite-element implementation for spatial beams with arbitrary moderate thick cross-sectionsNonlinear spatial bending of shear-deformable curvilinear rodsIncorporation of wall finite relative rotations in a geometrically exact thin-walled beam elementThe quaternion-based three-dimensional beam theoryA large displacement and finite rotation thin-walled beam formulation including cross-section deformationOn the choice of local element frame for corotational triangular shell elementsGeometrically exact thin-walled beam including warping formulated on the special Euclidean group \(SE(3)\)A geometrically exact beam finite element for curved thin-walled bars with deformable cross-sectionThe direct force correction based framework for general co-rotational analysisEfficient local formulation for elasto-plastic corotational thin-walled beamsA mixed 3D corotational beam with cross-section warping for the analysis of damaging structures under large displacementsA mixed finite element for three-dimensional nonlinear analysis of steel framesIsogeometric analysis of 3D beams for arbitrarily large rotations: locking-free and path-independent solution without displacement DOFs inside the patchAn implicit 3D corotational formulation for frictional contact dynamics of beams against rigid surfaces using discrete signed distance fieldsDynamics of 3D sliding beams undergoing large overall motionsThree-dimensional beam element for pre- and post-buckling analysis of thin-walled beams in multibody systemsFormulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approachGeometric Stiffness of Space Frames Using Symbolic AlgebraCombined co-rotational beam/shell elements for fluid-structure interaction analysis of insect-like flapping wingA co-rotational formulation for 3D beam element using vectorial rotational variablesGeometrically nonlinear dynamic formulation for three-dimensional co-rotational solid elementsVelocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibilityA modified corotational framework for triangular shell elementsRotation vector and its complement parameterization for singularity-free corotational shell element formulationsEquilibrium equations for nonlinear buckling analysis of drill-strings in 3D curved well-boresAn objective and path-independent 3D finite-strain beam with least-squares assumed-strain formulationA finite element formulation for a geometrically exact Kirchhoff-Love beam based on constrained translationPlastic instability of beam structures using co-rotational elements.A unified formulation of small-strain corotational finite elements. I: Theory



Cites Work


This page was built for publication: Co-rotational beam elements with warping effects in instability problems