A yield function for single crystals containing voids

Xu Han (1) , Jacques Besson (1) , Samuel Forest (1) , Benoit Tanguy (2) , Stéphane Bugat (3)

1 CDM - Centre des Matériaux
2 SEMI - Service d'Etudes des Matériaux Irradiés
3 EDF R&D MMC - Matériaux et Mécanique des Composants

A yield function for single crystals containing voids has been developed based on a variational approach. This first yield function is phenomenologically extended by modifying the dependence on the mean stress and introducing three adjustable parameters. Unit cell finite element calculations are performed for various stress triaxiality ratios, main loading directions and porosity levels in the case of a perfectly plastic FCC single crystal. The three model parameters are adjusted on the unit cell calculations so that a very good agreement between simulation results and the proposed model is obtained.

Mots clés: Porous media; Single crystal; Variational approach; Yield criterion; Unit cell model

Domaines: Matériaux

Xu Han, Jacques Besson, Samuel Forest, Benoit Tanguy, Stéphane Bugat. A yield function for single crystals containing voids. International Journal of Solids and Structures, 2013, 50 (14-15), pp.2115-2131. ⟨10.1016/j.ijsolstr.2013.02.005⟩. ⟨hal-00830364⟩