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Dual finite-element analysis using second-order cone programming for structures including contact
Highlights A primal-dual interior point solver is developed for structures in contact. Dual displacement and equilibrium-based finite elements provide a bracketing of the exact solution. Remeshing uses the constitutive relation error estimator. Numerical results show efficiency and robust on complex 3D steel assemblies.
Abstract Computation of elastic structures in contact is performed by means of a dual analysis combining displacement-based and equilibrium-based finite elements. Contact conditions are formulated in the framework of second-order cone programming (SOCP) and an efficient interior point method (IPM) algorithm is presented for solving the associated optimization problems. The dual approach allows the user to assess the quality of convergence and to efficiently calculate a discretization error estimator which includes a contact error term. An efficient remeshing scheme, based on the local contributions of the elements to the global error, can then be used to efficiently improve the solution accuracy. The whole process is illustrated on some examples and applied to a typical steel assembly. Its efficiency, in particular concerning the IPM solver, is demonstrated in comparison with the industrial finite element code Abaqus.
Dual finite-element analysis using second-order cone programming for structures including contact
Highlights A primal-dual interior point solver is developed for structures in contact. Dual displacement and equilibrium-based finite elements provide a bracketing of the exact solution. Remeshing uses the constitutive relation error estimator. Numerical results show efficiency and robust on complex 3D steel assemblies.
Abstract Computation of elastic structures in contact is performed by means of a dual analysis combining displacement-based and equilibrium-based finite elements. Contact conditions are formulated in the framework of second-order cone programming (SOCP) and an efficient interior point method (IPM) algorithm is presented for solving the associated optimization problems. The dual approach allows the user to assess the quality of convergence and to efficiently calculate a discretization error estimator which includes a contact error term. An efficient remeshing scheme, based on the local contributions of the elements to the global error, can then be used to efficiently improve the solution accuracy. The whole process is illustrated on some examples and applied to a typical steel assembly. Its efficiency, in particular concerning the IPM solver, is demonstrated in comparison with the industrial finite element code Abaqus.
Dual finite-element analysis using second-order cone programming for structures including contact
El Boustani, Chadi (author) / Bleyer, Jeremy (author) / Arquier, Mathieu (author) / Ferradi, Mohammed-Khalil (author) / Sab, Karam (author)
Engineering Structures ; 208
2019-11-04
Article (Journal)
Electronic Resource
English
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