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Perturbation series for shear stress in flexure of Saint-Venant Cylinders with Bredt-like sections

Abstract : We study flexure of a Saint-Venant cylinder whose sections are Bredt-like with constant thickness, as defined in [1], [2], [3]. We propose a perturbation series for the shear stress field in terms of a thickness parameter. In torsion, there is a unique stress flow function (named after Pradt) for any regular section ([3], [4], [6], [7]). On the contrary, in flexure of cylinders with bi-connected sections a flow function cannot be uniquely determined. To avoid a gauge choice, we use different perturbation methods for mono and bi-connected sections. In the last case we introduce a perturbation series directly for shear stress and Helmholtz differential operators.
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https://hal.archives-ouvertes.fr/hal-00502011
Contributor : Francesco Dell'Isola <>
Submitted on : Tuesday, July 13, 2010 - 9:42:04 AM
Last modification on : Saturday, July 17, 2010 - 11:26:31 AM
Long-term archiving on: : Thursday, October 14, 2010 - 3:37:50 PM

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  • HAL Id : hal-00502011, version 1

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Francesco Dell'Isola, Giuseppe C. Ruta. Perturbation series for shear stress in flexure of Saint-Venant Cylinders with Bredt-like sections. Mechanics Research Communications, Elsevier, 1996, pp.8. ⟨hal-00502011⟩

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