Variational formulation of curved beams in global coordinates

DOI10.1007/s00466-013-0921-0zbMath1320.74069arXiv1305.1501OpenAlexW3101874721MaRDI QIDQ2512443

Mats G. Larson, Karl Larsson, Peter Hansbo

Publication date: 7 August 2014

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1501

zbMATH Keywords

linear elasticityfinite element methodvector distance functioncurvature-coupling effect

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (6)

On invariance of spatial isogeometric Timoshenko-Ehrenfest beam formulations for static analysis ⋮ A <scp>two‐dimensional</scp> corotational curved beam element for dynamic analysis of curved viscoelastic beams with large deformations and rotations ⋮ Finite element modeling of a linear membrane shell problem using tangential differential calculus ⋮ Reissner-Mindlin shell theory based on tangential differential calculus ⋮ Kirchhoff-Love shell theory based on tangential differential calculus ⋮ Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem

Uses Software

• FEAPpv

Cites Work

• A finite strain beam formulation. The three-dimensional dynamic problem. I
• Mixed finite element methods for elastic rods of arbitrary geometry
• A boundary differential equation for thin shells
• Tangential differential equations for dynamical thin/shallow shells
• On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory
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