Two field multibody method for periodic homogenization in fracture mechanics of nonlinear heterogeneous materials

Frédéric Perales (1) , Stéphane Bourgeois (2) , André Chrysochoos (3, 4) , Yann Monerie (1)

1 IRSN - Institut de Radioprotection et de Sûreté Nucléaire
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
3 LMGC - Laboratoire de Mécanique et Génie Civil
4 ThM2 - ThermoMécanique des Matériaux

This paper presents a new computational approach dedicated to the fracture of nonlinear heterogeneous materials. This approach extends the standard periodic homogenization problem to a two field cohesive-volumetric finite element scheme. This two field finite element formulation is written as a generalization Non-Smooth Contact Dynamics framework involving Frictional Cohesive Zone Models. The associated numerical platform allows to simulate, at finite strain, the fracture of nonlinear composites from crack initiation to post-fracture behavior. The ability of this computational approach is illustrated by the fracture of the hydrided Zircaloy under transient loading.

Mots clés: Periodic homogenization; Frictional cohesive zone model; Dynamic fracture; Zircaloy-4

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

Frédéric Perales, Stéphane Bourgeois, André Chrysochoos, Yann Monerie. Two field multibody method for periodic homogenization in fracture mechanics of nonlinear heterogeneous materials. Engineering Fracture Mechanics, 2008, Local Approach to Fracture (1986–2006): Selected papers from the 9th European Mechanics of Materials Conference, 75 (11), pp.3378-3398. ⟨10.1016/j.engfracmech.2007.07.017⟩. ⟨hal-00572322⟩