A geometrically exact beam finite element for non-prismatic strip beams: the 2D case

DOI10.1142/s0219455423500372zbMATH Open1537.7433MaRDI QIDQ6538139

Rodrigo Gonçalves

Publication date: 14 May 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

large displacementswarpingfinite rotationsbeam finite elementsnon-prismatic beams

Mathematics Subject Classification ID

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

Cites Work

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• Incorporation of wall finite relative rotations in a geometrically exact thin-walled beam element
• A large displacement and finite rotation thin-walled beam formulation including cross-section deformation
• A geometrically-exact rod model incorporating shear and torsion-warping deformation
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• A three-dimensional finite-strain rod model. II. Computational aspects
• 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 geometrically exact beam finite element for curved thin-walled bars with deformable cross-section
• On one-dimensional finite-strain beam theory: the plane problem
• On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory

Related Items (2)

A geometrically exact beam finite element for non-prismatic strip beams: linearized lateral-torsional stability ⋮ A geometrically exact beam finite element for non-prismatic strip beams: the spatial case

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