A quasi lower bound model for porous materials with incompressible plastic matrix
Résumé
The aim of this work is to obtain by homogenization techniques a macroscopic plastic model for porous materials with von Mises matrix using the hollow sphere model and a trial stress field in internal equilibrium, which is composed of the exact solution for the pure hydrostatic loading and a uniform deviatoric field. Considering Hill's variational principle for rigid plastic materials and relaxing the stress condition on the void boundary, simultaneously using a lagrangean multiplier, we satisfy the plastic criterion on average. On this ground, We obtain a closed form yield function, which could be seemed as a quasi lower macroscopic criterion against the Gurson's upper one. The theoretical result is confirmed by numerical simulations.
Domaines
Mécanique [physics]
Origine : Fichiers produits par l'(les) auteur(s)
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