The aim of the paper is twofold. First, starting from the three-dimensional theory of linear elasticity, we give a simple justification of Saint-Venant theory for beams with multi-connected cross-section by means of Γ-convergence. Second, we estimate the error between the three-dimensional problem and the limit problem. © 2010 - IOS Press and the authors. All rights reserved.

Saint-Venant's theory for beams with multi-connected cross-section: Justification and error estimate

Paroni, Roberto
2010-01-01

Abstract

The aim of the paper is twofold. First, starting from the three-dimensional theory of linear elasticity, we give a simple justification of Saint-Venant theory for beams with multi-connected cross-section by means of Γ-convergence. Second, we estimate the error between the three-dimensional problem and the limit problem. © 2010 - IOS Press and the authors. All rights reserved.
2010
Freddi, Lorenzo; Murat, Francois; Paroni, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/885776
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