The influence of the type of loading on the asymptotic behavior of slender elastic rings

DOI10.1007/s10659-005-3397-0zbMath1058.74048OpenAlexW2062223965MaRDI QIDQ1768301

Kamyar Madani, Jean-Jacques Marigo

Publication date: 15 March 2005

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-005-3397-0

zbMATH Keywords

elasticityasymptotic expansionsvariational methodcurved rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods applied to PDEs (35A15) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (2)

On the asymptotic derivation of Winkler-type energies from 3D elasticity ⋮ Hierarchy of one-dimensional models in nonlinear elasticity

Cites Work

• A variational definition of the strain energy for an elastic string
• Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
• Statics of curved rods on account of torsion and flexion
• Etude des structures élastiques élancées à rayon de courbure faiblement variable : une classification de modèles asymptotiques
• Des poutres flexibles aux fils extensibles: une hiérarchie de modèles asymptotiques
• Comportement asymptotique des solutions du système de l'élasticité linéarisée anisotrope hétérogène dans des cylindres minces
• Quelques modèles d'anneaux élastiques suivant les types de chargement
• Nonlinear problems of elasticity
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