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On a kinematically exact rod model for thin-walled open section members

Grant number: 21/02042-9
Support type:Scholarships in Brazil - Master
Effective date (Start): June 01, 2021
Effective date (End): November 30, 2022
Field of knowledge:Engineering - Civil Engineering - Structural Engineering
Principal researcher:Eduardo de Morais Barreto Campello
Grantee:Marcos Pires Kassab
Home Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In the context of frame structures, kinematically exact rod models are pivotal to correctly describe critical loads and post-critical behaviour. For thin-walled open-section members, such formulations need to take cross-sectional warping into account, since it becomes a relevant load-carrying mechanism due to the very small torsion stiffness of such members. Most thin-walled rod models available in the literature consider only the so-called primary warping, which is the warping in the direction of the cross-section´s walls lengths. The walls´ thickness warping, or secondary warping, is typically neglected. Although primary warping generally suffices to properly capture the rod´s deformation, there are particular cases wherein secondary warping becomes relevant, and to which existing models often fail to perform. This research project aims to develop a kinematically exact rod model for thin-walled open section members taking into account both primary and secondary cross-sectional warpings. Advanced elastic constitutive equations will then be incorporated in order to enable full bending, compression and torsional strain couplings in the finite strain regime. The model will be implemented in a finite element program and its outcomes will be validated against reference solutions obtained using hierarchically higher order formulations, having as main reference both shell and 3D solid models. At last, the model´s applicability for the simulation of real engineering applications will be illustrated through a series of representative numerical examples. (AU)

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