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A mortar method combined with an augmented Lagrangian approach for treatment of mechanical contact problems
Cavalieri, Federico J.; Bruls, Olivier; Cardona, Alberto
2015In Terze, Zdravko (Ed.) Multibody Dynamics: Computational Methods and Applications
Peer reviewed
 

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Keywords :
Augmented Lagrangian; Contact problems
Abstract :
[en] This work presents a mixed penalty-duality formulation from an augmented Lagrangian approach for treating the contact inequality constraints. The augmented Lagrangian approach allows to regularize the non differentiable contact terms and gives a C1 differentiable saddle-point functional. The relative displacement of two contacting bodies is described in the framework of the Finite Element Method (FEM) using the mortar method, which gives a smooth representation of the contact forces across the bodies interface. To study the robustness and performance of the proposed algorithm, validation numerical examples with finite deformations and large slip motion are presented.
Disciplines :
Mechanical engineering
Author, co-author :
Cavalieri, Federico J.
Bruls, Olivier  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Cardona, Alberto
Language :
English
Title :
A mortar method combined with an augmented Lagrangian approach for treatment of mechanical contact problems
Publication date :
2015
Main work title :
Multibody Dynamics: Computational Methods and Applications
Editor :
Terze, Zdravko
Publisher :
Springer
ISBN/EAN :
978-3-319-07260-9
Collection name :
Computational Methods in Applied Sciences; 35
Peer reviewed :
Peer reviewed
Available on ORBi :
since 18 May 2014

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