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An asymptotic approach to the torsion problem in thin rectangular domains
Authors:Cesare Davini  Roberto Paroni  Eric Puntel
Affiliation:(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 on a thin rectangle as the thickness goes to zero is obtained. The limit stresses are evaluated and the distributional nature of one of the stress components is clarified.
Keywords:Thin structures  Torsion  Linear elasticity  Asymptotic methods  Mechanics of solids and structures
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