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

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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Submitted on : Monday, June 29, 2020 - 3:56:24 PM
Last modification on : Tuesday, July 21, 2020 - 1:16:28 PM

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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, Elsevier, 2020, 221, pp.111041. ⟨10.1016/j.engstruct.2020.111041⟩. ⟨hal-02884021⟩

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