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Abstract
The paper addresses the issue of local buckling of compressed flanges of cold-formed thin-walled channel columns and beams with nonstandard flanges composed of aluminium alloys. The material behaviour follows the Ramberg–Osgood law. It should be noted that the proposed solution may be also applied for other materials, for example: stainless steel, carbon steel. The paper is motivated by an increasing interest in nonstandard cold-formed section shaping in local buckling analysis problems. Furthermore, attention is paid to the impact of material characteristics on buckling stresses in a nonlinear domain. The objective of the paper is to propose a finite element method (FEM) model and a relevant numerical procedure in ABAQUS, complemented by an analytical one. It should be noted that the proposed FEM energetic technique makes it possible to compute accurately the critical buckling stresses. The suggested numerical method is intended to accurately follow the entire structural equilibrium path under an active load in elastic and inelastic ranges. The paper is also focused on correct modelling of interactions between sheets of cross section of a possible contact during buckling analysis. Furthermore, the FEM results are compared with the analytical solution. Numerical examples confirm the validity of the proposed FEM procedures and the closed-form analytical solutions. Finally, a brief research summary is presented and the results are discussed further on.
Highlights
Cold-formed thin-walled aluminium alloy members are increasingly being applied in many engineering structures because of their low weight, relatively high mechanical strength and inherent corrosion resistance
This paper considers the local buckling of compressed flanges of cold-formed thin-walled channel columns and beams with nonstandard flanges composed of aluminium alloys [50]
The analytical solutions sufficiently coincide with the numerical ones (FSM, finite element method (FEM): linear stability analysis (LBA) or quasi-static) both in linear and nonlinear ranges, in the case of A-type cross section because the mean variations do not exceed 5%
Summary
Cold-formed thin-walled aluminium alloy members are increasingly being applied in many engineering structures because of their low weight, relatively high mechanical strength and inherent corrosion resistance. The major work that is closely related to the issues raised in this paper on elastic and inelastic buckling of members of cross sections with nonstandard flanges is the experimental and analytical research conducted by Magnucki and his colleagues [34,35,36,42,43,44]. The stability analysis of cold-formed cross-section members with nonstandard shapes showing normal and tangential interactions with friction between sheets of nonstandard flanges/walls is a current research issue. The original aspects of the paper are proposals of analytical approach and energetic numerical approach in system stability analysis, in linear and nonlinear range, focused on correct modelling of interactions between sheets of cross section with a possible contact during buckling
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