4/2010 - Saint-Venant's theory for beams with multi-connected cross-section: justification and error estimate

Lorenzo Freddi, Francois Murat, Roberto Paroni
Titolo Saint-Venant's theory for beams with multi-connected cross-section: justification and error estimate
Numero 4/2010
Sottomesso da Lorenzo Freddi
Sottomesso il 14/4/2010
Stato Submitted
Autori Lorenzo Freddi, Francois Murat, Roberto Paroni
Abstract The aim of the paper is twofold. First, starting from the three- dimensional theory of linear elasticity, we give a simple justi¯cation 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.
File 4-2010-freddi.pdf