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Elastoplastic and limit analysis of 3D steel assemblies using second-order cone programming and dual finite-elements
Highlights Variational conic programming formulations are considered for elastoplastic 3D structures. Limit analysis formulations are also available in a similar fashion. A primal-dual interior point solver is developed for solving the corresponding problems. Dual displacement and equilibrium-based finite elements provide a bracketing of the exact solution. Numerical results show efficiency and robustness on complex 3D steel assemblies and validation against Eurocode formulas.
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.
Elastoplastic and limit analysis of 3D steel assemblies using second-order cone programming and dual finite-elements
Highlights Variational conic programming formulations are considered for elastoplastic 3D structures. Limit analysis formulations are also available in a similar fashion. A primal-dual interior point solver is developed for solving the corresponding problems. Dual displacement and equilibrium-based finite elements provide a bracketing of the exact solution. Numerical results show efficiency and robustness on complex 3D steel assemblies and validation against Eurocode formulas.
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.
Elastoplastic and limit analysis of 3D steel assemblies using second-order cone programming and dual finite-elements
Boustani, Chadi El (author) / Bleyer, Jeremy (author) / Arquier, Mathieu (author) / Ferradi, Mohammed-Khalil (author) / Sab, Karam (author)
Engineering Structures ; 221
2020-06-29
Article (Journal)
Electronic Resource
English
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