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Generalized Poynting Effects in Predeformed Prismatic Bars

Abstract : We use the Signorini expansion method to determine the second-order Saint-Venant solution for an infinitesimally bent and stretched bar. The bar in the unstressed reference configuration is straight, prismatic, isotropic, homogeneous and made of a second-order elastic material. These solutions and those found earlier for a pretwisted bar give generalized Poynting effects. A bar when bent stretches and the elongation is determined by the first and second-order elasticities, area of crosssection, torsional rigidity, bending vector and the inertia tensor. When an infinitesimally twisted bar is deformed, there is a second-order bending deformation even when there is no resultant bending moment applied on the end faces.
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https://hal.archives-ouvertes.fr/hal-00503134
Contributor : Francesco Dell'Isola <>
Submitted on : Friday, July 16, 2010 - 4:18:51 PM
Last modification on : Friday, September 4, 2020 - 1:25:07 PM
Long-term archiving on: : Thursday, December 1, 2016 - 9:14:04 AM

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Francesco Dell'Isola, Giuseppe C. Ruta, Romesh C. Batra. Generalized Poynting Effects in Predeformed Prismatic Bars. Journal of Elasticity, Springer Verlag, 1998, pp.16. ⟨hal-00503134⟩

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