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Effect of higher order constitutive terms on the elastic buckling of thin-walled rods
Abstract In this paper we revisit an elastic constitutive equation proposed in two previous works and extend it in order to include all higher-order terms on the deformations. Our purpose is to assess the influence of these terms on the elastic buckling of thin-walled rods. The resulting material model was incorporated into a geometrically exact rod formulation and implemented into a nonlinear finite element code. By means of simple numerical examples we show that the higher order terms may play a significant role on the values of the buckling loads and on the post-buckling behavior of thin-walled beams and columns.
Highlights Summarizes a geometrically exact 7-DOF rod model with cross-sectional warping. Develops an elastic constitutive equation with higher-order strain terms. Proposes a simple warping function for thin-walled cross-sections. Shows the effects on the buckling and post-buckling behavior of beams and columns.
Effect of higher order constitutive terms on the elastic buckling of thin-walled rods
Abstract In this paper we revisit an elastic constitutive equation proposed in two previous works and extend it in order to include all higher-order terms on the deformations. Our purpose is to assess the influence of these terms on the elastic buckling of thin-walled rods. The resulting material model was incorporated into a geometrically exact rod formulation and implemented into a nonlinear finite element code. By means of simple numerical examples we show that the higher order terms may play a significant role on the values of the buckling loads and on the post-buckling behavior of thin-walled beams and columns.
Highlights Summarizes a geometrically exact 7-DOF rod model with cross-sectional warping. Develops an elastic constitutive equation with higher-order strain terms. Proposes a simple warping function for thin-walled cross-sections. Shows the effects on the buckling and post-buckling behavior of beams and columns.
Effect of higher order constitutive terms on the elastic buckling of thin-walled rods
Campello, Eduardo M.B. (author) / Lago, Leonardo B. (author)
Thin-Walled Structures ; 77 ; 8-16
2013-11-02
9 pages
Article (Journal)
Electronic Resource
English
Effect of higher order constitutive terms on the elastic buckling of thin-walled rods
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