Article (Scientific journals)
Augmented Lagrangian procedure for implicit computation of contact-impact between deformable bodies.
Graillet, Denis; Ponthot, Jean-Philippe; Stainier, Laurent
2001In International Journal of Crashworthiness, 6 (2), p. 209-221
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Keywords :
Aircraft Design & Engineering
Abstract :
[en] This paper shows how efficiency can be improved by using an adequate Augmented Lagrangian procedure instead of the classical and well-known Penalty method for solving contact-impact problems between deformable bodies, including frictional contact, large deformations, dynamical effects and inelasticity phenomena The Augmented Lagrangian method has already enjoyed great success in solving constrained minimisation problems or incompressibility conditions. Alternatives to existing automation techniques for augmentations are presented. Starting from a Penalty method, it will be seen how the Augmented Lagrangian decreases ill-conditioning of governing equations and gives a more precise solution with a lower CPU-cost. Several original simultaneous criteria are proposed for optimising the number and the location of the augmentations in an incremental implicit resolution. Application of the method is done for two axisymmetric impact problems.
Disciplines :
Mechanical engineering
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Graillet, Denis
Ponthot, Jean-Philippe  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Stainier, Laurent ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique
Language :
English
Title :
Augmented Lagrangian procedure for implicit computation of contact-impact between deformable bodies.
Publication date :
2001
Journal title :
International Journal of Crashworthiness
ISSN :
1358-8265
eISSN :
1754-2111
Publisher :
Taylor & Francis Ltd, London, United Kingdom
Volume :
6
Issue :
2
Pages :
209-221
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 26 November 2009

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