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Scienza Delle Costruzioni 2014/2015
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21
Apr 15Bacheca » Seminario Prof. D. Kondo, 28 Aprile 2015, Ore 15.30, Aula Galileo
| Modificato il 21 Apr 2015, 12:31Si avvisa che il giorno martedì 28 Aprile 2015 alle ore 15:30, in Aula "Galileo" (Edificio Didattica), il professor Djimedo Kondo, dell'Università di Pierre et Marie Curie di Parigi, terrà un seminario dal titolo:
A bi-potential-based approach of ductile porous materials having a non-associated matrix: Theory and numerical assessment.
Si invitano gli interessati a partecipare.
A bi-potential-based approach of ductile porous materials having a non-associated matrix: Theory and numerical assessment.
Si invitano gli interessati a partecipare.
Abstract
The talk aims to present a recent extension of Gurson-type models of porous materials to the context of non-associated plasticity. This is the case of Drucker-Prager matrix with a dilatancy angle different from the friction one. For such materials, for which standard limit analysis cannot be implemented, a relevant modeling approach consists in the use of the concept of bipotential, that is a function of both dual variables consisting in the plastic strain rate and stress. In this framework, after recalling the basic elements of the Drucker-Prager model, the corresponding variational principles and the extended limit analysis theorems are discussed. Then, a new variational approach for the homogenization of porous materials with a non-associated matrix is presented. The latter is
implemented by considering the hollow sphere model with a nonassociated Drucker-Prager matrix. The proposed procedure delivers a closed-form expression of the macroscopic bi-functional. In such a way, the strength criterion and a non-associated flow rule are straight obtained for porous materials. These general results recover several available models as particular cases. Finally, the established formulation is assessed and validated by comparing its predictions to those obtained via Finite Element computations.