Published Paper
Inserted: 13 apr 2010
Last Updated: 13 jan 2011
Journal: Asymptotic Analysis
Volume: 70
Number: 3-4
Pages: 177-198
Year: 2010
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 $\Gamma$-convergence. Second, we estimate the error between the three-dimensional problem and the limit problem.
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