A quasi lower bound model for porous materials with incompressible plastic matrix - 11e COLLOQUE NATIONAL EN CALCUL DES STRUCTURES, CSMA 2013, Giens Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

A quasi lower bound model for porous materials with incompressible plastic matrix

Géry de Saxcé
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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.
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Dates et versions

hal-01722115 , version 1 (02-03-2018)

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Domaine public

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  • HAL Id : hal-01722115 , version 1

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Long Cheng, Djimedo Kondo, Géry de Saxcé. A quasi lower bound model for porous materials with incompressible plastic matrix. 11e colloque national en calcul des structures, CSMA, May 2013, Giens, France. ⟨hal-01722115⟩
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