Affiliations: Dipartimento di Matematica e Informatica, Università di Udine, via delle Scienze 206, 33100 Udine, Italy. E-mail: freddi@dimi.uniud.it | Laboratoire Jacques-Louis Lions, Université Paris VI, Boîte courrier 187, 75252 Paris Cedex 05, France. E-mail: murat@ann.jussieu.fr | Dipartimento di Architettura e Pianificazione, Università degli Studi di Sassari, Palazzo del Pou Salit, Piazza Duomo, 07041 Alghero, Italy. E-mail: paroni@uniss.it
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.
