Modeling frictional contact conditions with the penalty method in the extended finite element framework

Ewen Biotteau (1) , Ponthot Jean-Philippe (2)

1 LTAS - Aerospace and Mechanical Engineering Department [Liège]
2 LTAS-MN2L

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.

Mots clés: extended finite element; extended finite element method; X-FEM; XFEM; frictional contact; penalty method; tangent stiffness

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Ewen Biotteau, Ponthot Jean-Philippe. Modeling frictional contact conditions with the penalty method in the extended finite element framework. ECCOMAS 2012, Sep 2012, Vienna, Austria. pp.MS119. ⟨hal-00731710⟩