Numerical implementation of a recent improved Gurson-type model and application to ductile fracture

Jiali Lin (1) , T. Kanit (1) , Vincent Monchiet (2) , J.-F. Shao (1) , D. Kondo (1)

1 LML - Laboratoire de Mécanique de Lille - FRE 3723
2 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

The present study is based on a recent work by Monchiet et al. [V. Monchiet, E. Charkaluk, D. Kondo, Comptes Rendus-Mecanique, 335 (2007) 32-41] (see also [V. Monchiet, Contributions à la modélisation micromécanique de l'endommagement et de la fatigue des métaux ductiles, PhD thesis, Université des sciences et Technologies de LILLE, France, 2006]) who formulated an improved Gurson-type approximate criterion of ductile porous media by considering trial velocity fields inspired from the solution of the Eshelby inhomogeneous inclusion problem. We first briefly present the methodology allowing to derive this new criterion and illustrate its advantages compare to existing criteria. Then we present the formulation of a constitutive plastic-damage model associated to this new criterion. Finally, this new model is implemented in a Finite Element software and applied to the study of a round tensile specimen and a notched sample. The obtained results are discussed by comparing them to those given by existing models.

Mots clés: Ductile damage; Gurson-type model; Numerical modeling; Notched structure; Homogenization; Micromechanics; Porous materials

Jiali Lin, T. Kanit, Vincent Monchiet, J.-F. Shao, D. Kondo. Numerical implementation of a recent improved Gurson-type model and application to ductile fracture. Computational Materials Science, 2010, 47 (4), pp.901-906. ⟨10.1016/j.commatsci.2009.11.021⟩. ⟨hal-00448769⟩