Abstract
In this paper we study the Sain-Venant torsion problem for hollow homogeneous isotropic cylinders with thin doubly connected cross-section. By using the framework of the Г-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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Morassi, A. Torsion of thin tubes: A justification of some classical results. J Elasticity 39, 213–227 (1995). https://doi.org/10.1007/BF00041838
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DOI: https://doi.org/10.1007/BF00041838