A new approach of Timoshenko's beam theory by asymptotic expansion method

DOI10.1051/m2an/1990240506511zbMath0777.73028OpenAlexW2488611851MaRDI QIDQ4713171

L. Trabucho, Juan M. Viaño

Publication date: 25 June 1992

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193609

zbMATH Keywords

perturbation methodmixed variational formulationthree-dimensional linearized elasticityTimoshenko's constants

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

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Cites Work

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• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Construction d'un modèle d'évolution de plaques avec terme d'inerte de rotation
• A course in elasticity. Translated by F. A. Ficken, with the editorial assistance of D. A. Simons
• A justification of the von Kármán equations
• A justification of a nonlinear model in plate theory
• 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
• A derivation of generalized saint venant’s torsion theory from three-dimensional elasticity by asymptotic expansion methods
• The effect of a thin inclusion of high rigidity in an elastic body
• A new approach of Timoshenko's beam theory by asymptotic expansion method
• Solid Mechanics