Connecting beams and continua: variational basis and mathematical analysis

DOI10.1007/s11012-023-01702-0arXiv1909.04025OpenAlexW2973066129MaRDI QIDQ6065334

Christina Schenk, Ignacio Romero

Publication date: 11 December 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04025

zbMATH Keywords

elasticityvariational principleswell-posednessbeams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) PDEs in connection with mechanics of deformable solids (35Q74) Junctions (74K30)

Cites Work

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• Transition finite elements for axisymmetric stress analysis
• Transition finite elements for three-dimensional stress analysis
• Mixed and Hybrid Finite Element Methods
• On the theory of rods. I. Derivations from the three-dimensional equations
• On the theory of rods II. Developments by direct approach
• Mixed Finite Element Methods and Applications
• Three‐dimensional solid‐to‐beam transition elements for structural dynamics analysis

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