Generalized Poynting Effects in Predeformed Prismatic Bars

Francesco Dell'Isola (1, 2) , Giuseppe C. Ruta (1) , Romesh C. Batra (3)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 Department of Engineering Science and Mechanics

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.

Domaines: Mécanique [physics.med-ph]

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