A three‐dimensional non‐linear Timoshenko beam based on the core‐congruential formulation
From MaRDI portal
Publication:4293190
DOI10.1002/nme.1620362106zbMath0817.73060OpenAlexW2106599528MaRDI QIDQ4293190
Luis A. Crivelli, Carlos A. Felippa
Publication date: 1 August 1995
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.1620362106
total Lagrangian descriptiontwelve degrees of freedomsecond Piola-Kirchhoff stressesGreen-Lagrange strainsinternal force vectorfinite rotation measure
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05)
Related Items
AN ENERGY-CONSERVING CO-ROTATIONAL PROCEDURE FOR THE DYNAMICS OF PLANAR BEAM STRUCTURES ⋮ A critical displacement approach for predicting structural instability ⋮ An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods ⋮ The finite deformation theory for beam, plate and shell. I: The two-dimensional beam theory ⋮ Non-linear spatial Timoshenko beam element with curvature interpolation ⋮ Nonlinear strain--displacement equations exactly representing large rigid-body motions. I: Timoshenko--Mindlin shell theory ⋮ Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures. ⋮ Partitioned formulation of internal and gravity waves interacting with flexible structures ⋮ The finite deformation theory for beam, plate and shell. IV: The FE formulation of Mindlin plate and shell based on Green-Lagrangian strain ⋮ The quaternion-based three-dimensional beam theory ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995) ⋮ Evaluation of simple bifurcation points and post-critical path in large finite rotation problems ⋮ Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation ⋮ The finite deformation theory for beam, plate and shell. III: The three-dimensional beam theory and the FE formulation ⋮ Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility ⋮ 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 ⋮ A finite element formulation for a geometrically exact Kirchhoff-Love beam based on constrained translation ⋮ Bifurcations and internal resonances in space-curved rods