A WEAK-WEAK FORMULATION FOR LARGE DISPLACEMENTS BEAM STATICS: A FINITE VOLUMES APPROXIMATION

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1097-0207(19960229)39:4<585::AID-NME871>3.0.CO;2-F" /><585::AID-NME871>3.0.CO;2-F 10.1002/(SICI)1097-0207(19960229)39:4<585::AID-NME871>3.0.CO;2-FzbMath0845.73067OpenAlexW2006082990MaRDI QIDQ4871654

C. G. Franchi, Fabio Montelaghi

Publication date: 22 September 1996

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19960229)39:4<585::aid-nme871>3.0.co;2-f

zbMATH Keywords

interpolationstrain energyconstitutive lawkinematic analysisstrain parameterslinearized weak formbeam equilibriumbidiscontinuous finite element methodmixed form of principle of virtual work

Mathematics Subject Classification ID

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

Related Items (3)

Analysis of large displacements and large rotations of three-dimensional beams by using small strains and unit vectors ⋮ An efficient mixed interpolated curved beam element for geometrically nonlinear analysis ⋮ A mixed finite element for three-dimensional nonlinear analysis of steel frames

Cites Work

• A finite strain beam formulation. The three-dimensional dynamic problem. I
• A three-dimensional finite-strain rod model. II. Computational aspects
• On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams
• An excursion into large rotations
• A highly redundant coordinate formulation for constrained rigid bodies
• A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
• Large displacement analysis of naturally curved and twisted composite beams
• On a non-linear formulation for curved Timoshenko beam elements considering large displacement/rotation increments
• Nonlinear Composite Beam Theory
• A beam finite element non-linear theory with finite rotations
• Nonlinear strain-displacement relations and flexible multibody dynamics
• Dynamics of flexible multibody systems using cartesian co‐ordinates and large displacement theory
• Time finite element methods for structural dynamics
• Finite element formulations for large deformation dynamic analysis
• Geometrically nonlinear finite element analysis of beams, frames, arches and axisymmetric shells
• Large displacement analysis of three-dimensional beam structures
• A finite volume format for structural mechanics
• An intrinsic beam model based on a helicoidal approximation—Part I: Formulation

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