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Journal Articles Engineering Structures Year : 2020

Elastoplastic and limit analysis of 3D steel assemblies using second-order cone programming and dual finite-elements

Chadi El Boustani
Jeremy Bleyer
Mathieu Arquier
  • Function : Author
  • PersonId : 1029626
Mohammed-Khalil Ferradi
  • Function : Author
Karam Sab

Abstract

We investigate the use of a second-order cone programming (SOCP) framework for computing complex 3D steel assemblies in the context of elastoplasticity and limit analysis. Displacement and stress-based variational formulations are considered and appropriate finite-element discretization strategies are chosen, yielding respectively an upper and lower bound estimate of the exact solution. An efficient interior-point algorithm is used to solve the associated optimization problems. The discrete solution convergence is estimated by comparing both static and kinematic solutions, offering a way to perform local mesh adaptation. The proposed framework is illustrated on the design of a moment-transmitting assembly, its performance is assessed by comparison with classical elastoplastic computations using Abaqus and, finally, T-stub resistance and failure mechanisms when assessing the strength of a column base plate are compared with the Eurocodes design rules.
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Dates and versions

hal-02884021 , version 1 (29-06-2020)

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Chadi El Boustani, Jeremy Bleyer, Mathieu Arquier, Mohammed-Khalil Ferradi, Karam Sab. Elastoplastic and limit analysis of 3D steel assemblies using second-order cone programming and dual finite-elements. Engineering Structures, 2020, 221, pp.111041. ⟨10.1016/j.engstruct.2020.111041⟩. ⟨hal-02884021⟩
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