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Outlooks in Saint Venant theory I. Formal expansions for torsion of Bredt-like sections

Abstract : Starting from a regular curve (middle line), we define a section of a Saint Venant cylinder transporting the curve along its normal; this we call a Bredt-like section. A formal series expansion for Prandtl stress flow function valid for these sections is given. Starting from it, and using standard relationships, formal expansions for warping, shear stress vector field and torsional stiffness are obtained. Although the expansions are affected by degenaration in regularity, at least where curvature of the middle line is not smooth or at its ends, we obtain all traditional results of the theory of strengh of materials and are able to give an estimate of the error associated with them. Moreover, some interesting open problems are formulated, concerning both the problems of regularizing the expansions and of generalizing them for sections with variable thickness.
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https://hal.archives-ouvertes.fr/hal-00502394
Contributor : Francesco Dell'Isola <>
Submitted on : Wednesday, July 14, 2010 - 9:52:02 AM
Last modification on : Wednesday, July 21, 2010 - 1:54:51 PM
Long-term archiving on: : Friday, December 2, 2016 - 12:21:03 AM

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  • HAL Id : hal-00502394, version 1

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Francesco Dell'Isola, Giuseppe C. Ruta. Outlooks in Saint Venant theory I. Formal expansions for torsion of Bredt-like sections. Archives of Mechanics, 1994, pp.23. ⟨hal-00502394⟩

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