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Approximate criteria for ductile porous materials having a Green type matrix: Application to double porous media

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2012
auteur(s) Shen Wan Qing; Shao Jian-Fu; Dormieux Luc; Kondo Djimédo
journal (abréviation) Computational Materials Science (Comput Mater Sci)
volume (numéro) 62
  
pages 189 – 194
résumé In the framework of limit analysis theory, we derive closed-form expressions of approximate criteria for ductile porous materials whose plastically compressible matrix obeys to an elliptic criterion. The general methodology is based on limit analysis of a hollow sphere subjected to a uniform strain rate boundary conditions. We first consider a porous medium with a Green type matrix and establish the corresponding macroscopic yield function. Then, the obtained results are used in order to investigate double porous materials whose solid phase at the microscale (the smallest scale) obeys a von Mises criterion. The results are assessed by comparing them with numerical data, and with recently published results.
mots clés Porous materials; Ductile; Macroscopic yield function; Plastic compressibility; Gurson-type models; Double porous media; Green materials
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