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Computational Mechanics
Erschienen in: Computational Mechanics 4/2015

01.04.2015 | Original Paper

A modified perturbed Lagrangian formulation for contact problems

verfasst von: Manuel Tur, Jose Albelda, Jose Manuel Navarro-Jimenez, Juan Jose Rodenas

Erschienen in: Computational Mechanics | Ausgabe 4/2015

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Abstract

The aim of this work is to propose a formulation to solve both small and large deformation contact problems using the finite element method. We consider both standard finite elements and the so-called immersed boundary elements. The method is derived from a stabilized Nitsche formulation. After introduction of a suitable Lagrange multiplier discretization the method can be simplified to obtain a modified perturbed Lagrangian formulation. The stabilizing term is iteratively computed using a smooth stress field. The method is simple to implement and the numerical results show that it is robust. The optimal convergence rate of the finite element solution can be achieved for linear elements.
Vorheriger Artikel Finite rotation FE-simulation and active vibration control of smart composite laminated structures
Nächster Artikel A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing

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Metadaten
Titel
A modified perturbed Lagrangian formulation for contact problems
verfasst von
Manuel Tur
Jose Albelda
Jose Manuel Navarro-Jimenez
Juan Jose Rodenas
Publikationsdatum
01.04.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 4/2015
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-015-1133-6

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