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L. Cheng¹, Y. Jia¹, W. Shen¹, A. Oueslati¹, D. Kondo² and G. de Saxcé¹

¹Laboratoire de Mécanique de Lille, University Lille 1, France
²Institut Jean Le Rond d'Alembert, University Pierre and Marie Curie, Paris, France

Keywords: homogenization, limit analysis, porous materials, von Mises model, non associated Drucker-Prager model, bipotential..

Summary

In Gurson's footstep, many works were devoted to the kinematical approach of limit analysis coupled with the hollow sphere model to propose macrostress yield criteria of the ductile porous materials. Recently, the authors proposed a stress variational homogeneization based on the dual statical approach, starting from Hill's variational principle for the associated plasticity. Relaxing the stress equilibrium condition on the void boundary, we deduce for a matrix having von Mises matrix a first criterion depending not only on the first and second invariant of the macroscopic stress tensor but also on the sign of the third invariant of the stress deviator and the triaxiality. Two more accurate criteria are also proposed, the first one depending on the third invariant, and the second one based on a fully statically admissible trial stress field. Also we extended the previous model to the non associated case with the aid of a variational method based on the bipotential approach which permits the generalization the classical limit analysis to the non-associated ductile porous media.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 86 Variational Methods to Model Porous Materials with Non-Associated Flow Rules L. Cheng¹, Y. Jia¹, W. Shen¹, A. Oueslati¹, D. Kondo² and G. de Saxcé¹ ¹Laboratoire de Mécanique de Lille, University Lille 1, France ²Institut Jean Le Rond d'Alembert, University Pierre and Marie Curie, Paris, France doi:10.4203/ccp.106.86 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Variational Methods to Model Porous Materials with Non-Associated Flow Rules", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 86, 2014. doi:10.4203/ccp.106.86 Keywords: homogenization, limit analysis, porous materials, von Mises model, non associated Drucker-Prager model, bipotential.. Summary In Gurson's footstep, many works were devoted to the kinematical approach of limit analysis coupled with the hollow sphere model to propose macrostress yield criteria of the ductile porous materials. Recently, the authors proposed a stress variational homogeneization based on the dual statical approach, starting from Hill's variational principle for the associated plasticity. Relaxing the stress equilibrium condition on the void boundary, we deduce for a matrix having von Mises matrix a first criterion depending not only on the first and second invariant of the macroscopic stress tensor but also on the sign of the third invariant of the stress deviator and the triaxiality. Two more accurate criteria are also proposed, the first one depending on the third invariant, and the second one based on a fully statically admissible trial stress field. Also we extended the previous model to the non associated case with the aid of a variational method based on the bipotential approach which permits the generalization the classical limit analysis to the non-associated ductile porous media. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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