Abstract
The aim of this work is to extend Gurson’s model for plastic porous materials by considering the effects of void shape and heterogeneous hardening, which are both important for cyclic ductile failure at low stress triaxiality. The derivation is based on a sequential limit-analysis of an ellipsoidal cell made of a rigid-hardenable material and containing an ellipsoidal confocal cavity. The heterogeneous distribution of hardening is accounted for by considering a finite number of ellipsoidal layers in which the parameters related to isotropic and kinematic hardening are considered as homogeneous. Several approximations of the macroscopic plastic dissipation lead to an approximate yield criterion based on Madou and Leblond (2012a) solution. Evolution equations of the internal parameters (hardening and geometric parameters) are then derived to complement the yield criterion. Finally, the yield locus is assessed using numerical limit-analysis in a typical case of an ellipsoidal cavity with several distributions of pre-hardening.
Published Version
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