Global/local buckling analysis of thin-walled I-section beams via hierarchical one-dimensional finite elements. (1st April 2023)

• Record Type: Journal Article
• Authors: Yang, Yichen; Hui, Yanchuan; Li, Ping; Yang, Jie; Huang, Qun; Giunta, Gaetano; Belouettar, Salim; Hu, Heng
• Is Part Of: Engineering structures. Volume 280(2023)
• Publication Date: 2023-04-01
• Subjects: I-section beam -- Buckling -- Global–local coupled buckling -- Carrera's Unified Formulation -- Asymptotic Numerical Method; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2023.115705
• Languages: English
• ISSNs: 0141-0296

Abstract

Abstract: Buckling instability is one of the factors that limit the ultimate load-carrying capacity of I-section beams, and the coupling of global buckling and local buckling makes it difficult to predict the mechanical behavior of I-section beams. Hierarchical one-dimensional finite elements for the global/local buckling analysis of I-section beams are presented in this paper. Within the framework of Carrera's Unified Formulation (CUF), a model is built by using Lagrange polynomials to describe the three-dimensional displacement field as an arbitrary order approximation by displacement variables over the beam cross-section. One-dimensional finite elements are obtained by discretizing the governing equation along the beam length. Due to its high efficiency and step length adaptability, the Asymptotic Numerical Method (ANM) is adopted to solve the nonlinear governing equations. Several typical buckling problems in I-section beams, including global buckling, local buckling and global–local coupled buckling, are investigated. The numerical results demonstrate the validity and efficiency of the proposed model. The critical buckling load and displacement field can be precisely predicted, and a good agreement is found in comparison with results obtained via three-dimensional finite element solutions. Highlights: A model for the global/local buckling analysis of I-section beams is established. Carrera's Unified Formulation and Asymptotic Numerical Method are used in this model. The degrees of freedom and Gauss points are reduced comparing with 3D FEM model.