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Steel and Composite Structures
  Volume 35, Number 6, June25 2020, pages 717-727

Distortional effect on global buckling and post-buckling behaviour of steel box beams
Noureddine Benmohammed, Noureddine Ziane, Sid Ahmed Meftah and Giuseppe Ruta

    The homotopy perturbation method (HPM) to predict the pre- and post-buckling behaviour of simply supported steel beams with rectangular hollow section (RHS) is presented in this paper. The non-linear differential equations solved by HPM derive from a kinematics where large twist and cross-sections distortions are considered. The results (linear and non-linear paths) given by the present HPM are compared to those provided by the Newton–Raphson algorithm with arc length and by the commercial FEM code Abaqus. To investigate the effect of cross-sectional distortion of beams, some numerical examples are presented.
Key Words
    post-buckling; homotopy; RHS; distortion; Newton–Raphson
Noureddine Benmohammed, Noureddine Ziane and Sid Ahmed Meftah: Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics,
Université de Djillali Liabes, Sidi Bel Abbes, Algeria
Giuseppe Ruta: Department of Structural & Geotechnical Engineering, University \'La Sapienza\',
Rome, and National Group for Mathematical Physics, Italy


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