DECOMPOSITION OF DEFORMATIONS OF THIN RODS: APPLICATION TO NONLINEAR ELASTICITY

DOI10.1142/S021953050900130XzbMath1165.74027arXiv1109.2394MaRDI QIDQ3621439

Georges Griso, Dominique Blanchard

Publication date: 21 April 2009

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2394

zbMATH Keywords

asymptotic solutiongamma convergenceSt. Venant-Kirchhoff materialrescaled elastic energy

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (13)

Decomposition of shell deformations - asymptotic behavior of the Green-St Venant strain tensor ⋮ Junction between a plate and a rod of comparable thickness in nonlinear elasticity ⋮ Asymptotic behavior of a structure made by a plate and a straight rod ⋮ Modeling of rod-structures in nonlinear elasticity ⋮ Korn inequalities for a reinforced plate ⋮ Asymptotic behavior of structures made of straight rods ⋮ A Decomposition Result for the Pressure of a Fluid in a Thin Domain and Extensions to Elasticity Problems ⋮ Decomposition of plate displacements via Kirchhoff–Love displacements ⋮ Homogenization of perforated elastic structures ⋮ A model of joined beams as limit of a 2D plate ⋮ Asymptotic behavior for textiles in von-Kármán regime ⋮ Decomposition of the deformations of a thin shell. Asymptotic behavior of the Green-St Venant's strain tensor ⋮ Asymptotic analysis for periodic perforated shells

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