In this paper we study the Saint-Venant torsion problem for hollow homogeneousisotropic cylinders with thin doubly connected cross-section. By using the framework of the r-convergence of functionals, the classical theories of Bredt and of the sectorial areas are shown to be the variational limit of the torsion problem for cylinders with a hollow cross-section of vanishing thickness.
Torsion of thin tubes: a justification of some classical results
MORASSI, Antonino
1995-01-01
Abstract
In this paper we study the Saint-Venant torsion problem for hollow homogeneousisotropic cylinders with thin doubly connected cross-section. By using the framework of the r-convergence of functionals, the classical theories of Bredt and of the sectorial areas are shown to be the variational limit of the torsion problem for cylinders with a hollow cross-section of vanishing thickness.File in questo prodotto:
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