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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/674371
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