Dual finite-element analysis using second-order cone programming for structures including contact - École des Ponts ParisTech Access content directly
Journal Articles Engineering Structures Year : 2020

Dual finite-element analysis using second-order cone programming for structures including contact

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

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 programmaing (SOCP) and an efficient interior point method (IPM) algorithm is presented for the resolution of 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.
Fichier principal
Vignette du fichier
ARTICLE_1.pdf (3.18 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02428540 , version 1 (06-01-2020)

Identifiers

Cite

Chadi El Boustani, Jérémy Bleyer, Mathieu Arquier, Mohammed-Khalil Ferradi, Karam Sab. Dual finite-element analysis using second-order cone programming for structures including contact. Engineering Structures, 2020, 208, 20 p. ⟨10.1016/j.engstruct.2019.109892⟩. ⟨hal-02428540⟩
107 View
489 Download

Altmetric

Share

Gmail Facebook X LinkedIn More