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

Philippe Bussetta (1) , Daniel Marceau (1) , Jean-Philippe Ponthot (2)

1 UQAC - Université du Québec à Chicoutimi
2 LTAS - Aerospace and Mechanical Engineering Department [Liège]

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-electro-mechanical problem.

Mots clés: Mechanical contact; Friction; Adapted augmented Lagrangian method; Penalty method; Adapted penalty method

Domaines: Mécanique [physics.med-ph]; Mécanique [physics]

Philippe Bussetta, Daniel Marceau, Jean-Philippe Ponthot. The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem. Computational Mechanics, 2012, 49 (2), pp.259-275. ⟨10.1007/s00466-011-0644-z⟩. ⟨hal-01310670⟩