[en] This paper introduces an application of the eXtended Finite Element Method (XFEM)
to model metal forming processes. The X-FEM is used to account for material interfaces
and reduce the meshing constraints due to the shape of the tools and the evolving configuration
of the structures. Large deformations and non-linear behaviors are also accounted for, but this
contribution focuses in the modeling of frictional conditions on the interface. In X-FEM simulations,
the constraint of impenetrability is usually imposed using Lagrange multiplier methods.
For such strategies, stabilisation algorithms are needed to prevent the apparition of instabilities
due to the introduction of dual unknowns. The strategy presented here proposes to manage the
contact using the penalty approach. As it requires no additional variables, it is not submitted to
the same kind of instabilities. The contact problem is modeled using integration sub-elements,
defined on the boundary of the structure, on which the contact constraints have to be enforced.
Research Center/Unit :
LTAS
Disciplines :
Mechanical engineering
Author, co-author :
Biotteau, Ewen ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Language :
English
Title :
Modeling frictional contact conditions with the penalty method in the extended finite element framework
Alternative titles :
[en] Modélisation du contact frottant dans la méthode des élements finis étendus par la méthode de pénalité
