The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem

Bussetta, Philippe; Daniel, Marceau; Ponthot, Jean-Philippe

doi:10.1007/s00466-011-0644-z

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The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem

Bussetta, Philippe; Daniel, Marceau; Ponthot, Jean-Philippe

2012 • In Computational Mechanics, 49 (2), p. 259-275

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https://hdl.handle.net/2268/110548

DOI
10.1007/s00466-011-0644-z

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Keywords :

Mechanical contact; Friction; Adapted augmented Lagrangian method; Penalty method; Adapted penalty method

Abstract :

[en] The aim of this work is to propose a new numerical method for solving the mechanical frictional contact problem in the general case of multi-bodies in a three dimensional space. This method is called adapted augmented Lagrangian method (AALM) and can be used in a multi-physical context (like thermo-electro-mechanical fields problems). This paper presents this new method and its advantages over other classical methods such as penalty method (PM), adapted penalty method (APM) and, augmented Lagrangian method (ALM). In addition, the efficiency and the reliability of the AALM are proved with some academic problems and an industrial thermo-electromechanical problem.

Disciplines :

Mechanical engineering

Author, co-author :

Bussetta, Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Daniel, Marceau; Université du Québec à Chicoutimi (Canada) > Département des sciences appliquées

Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Language :

English

Title :

The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem

Publication date :

January 2012

Journal title :

Computational Mechanics

ISSN :

0178-7675

eISSN :

1432-0924

Publisher :

Springer Science & Business Media B.V., New York, United States - New York

Volume :

Issue :

Pages :

259-275

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

FRQNT - Fonds de Recherche du Québec - Nature et Technologies

Available on ORBi :

since 30 January 2012

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