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An Asymptotic Approach to the Torsion Problem in Thin Walled Beams
Authors:Cesare Davini  Roberto Paroni  Eric Puntel
Institution:(1) Dipartimento di Georisorse e Territorio, Università di Udine, via Cotonificio 114, 33100 Udine, Italy;(2) Dipartimento di Architettura e Pianificazione, Università degli Studi di Sassari, Palazzo del Pou Salit, Piazza Duomo, 07041 Alghero, Italy
Abstract:A rather straightforward derivation of the Γ-limit of the torsion problem as the thickness goes to zero is obtained for generic thin walled beams. The limit stresses are evaluated and the distributional nature of one of the stress components is clarified.
Keywords:Saint Venant torsion  Asymptotic approach  Gamma-convergence  Thin walled beams  Bredt’  s formulae
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