Asymptotic derivation of a general linear model for thin-walled elastic rods

DOI10.1016/S0045-7825(97)00019-4zbMath0896.73030OpenAlexW1977250784MaRDI QIDQ1376109

José M. Rodríguez, Juan M. Viaño

Publication date: 21 January 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00019-4

zbMATH Keywords

extension of Vlasov's theorythree-dimensional linear model

Mathematics Subject Classification ID

Related Items (8)

Thin-walled beams: A derivation of Vlassov theory via \(\Gamma\)-convergence ⋮ Asymptotic derivation of a general linear model for thin-walled elastic rods ⋮ Mathematical justification of Kelvin-Voigt beam models by asymptotic methods ⋮ On the Variational Derivation of the Kinematics for Thin-Walled Closed Section Beams ⋮ Limit behavior of Koiter model for long cylindrical shells and Vlassov model ⋮ Validation of Bredt's formulas for beams with hollow cross sections by the method of asymptotic splitting for pure torsion and their extension to shear force bending ⋮ Genuinely clamped beams ⋮ A model for bending and stretching of piezoelectric rods obtained by asymptotic analysis

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Junctions between three-dimensional and two-dimensional linear elastic structures
• Asymptotic derivation of a general linear model for thin-walled elastic rods
• Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
• A justification of the one‐dimensional linear model of elastic beam
• Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes
• A new approach of Timoshenko's beam theory by asymptotic expansion method
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