Nonlinear spatial bending of shear-deformable curvilinear rods

DOI10.1134/S0021894412020149zbMath1298.74138MaRDI QIDQ468878

S. V. Levyakov

Publication date: 10 November 2014

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

zbMATH Keywords

finite elementgeometric nonlinearitythree-dimensional rodtransverse shear strain

Mathematics Subject Classification ID

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

Cites Work

• Elliptic integral solutions of plane elastica with axial and shear deformations
• A three-dimensional finite-strain rod model. II. Computational aspects
• On the lateral buckling of uniform slender cantilever beams
• Co-rotational beam elements with warping effects in instability problems
• Large-deformation analysis of flexible beams
• Large deformation tests and total Lagrangian finite element analyses of flexible beams
• On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements
• A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
• Lateral buckling of beam
• Large displacement formulation of a three-dimensional beam element with cross-sectional warping
• Large displacement analysis of three-dimensional beam structures
• Nonlinear problems of elasticity
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