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Homogenization of saturated double porous media with Eshelby-like velocity field

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2014
auteur(s) Shen Wan Qing; Lanoye Emma; Dormieux Luc; Kondo Djimédo
journal (abréviation) Acta Geophysica (Acta Geophysica)
volume (numéro) 62 (5)
  
pages 1146 – 1162
résumé In this paper, we focus on strength properties of double porous materials having a Drucker-Prager solid phase at microscale. The porosity consists in two populations of micropores and mesopores saturated with different pressures. To this end, we consider a hollow sphere subjected to a uniform strain rate boundary conditions. For the microscale to mesoscale transition, we take advantage of available results by Maghous et al. (2009), while the meso to macro upscaling is performed by implementing a kinematical limit analysis approach using Eshelby-like trial velocity fields. This two-step homogenization procedure delivers analytical expression of the macroscopic criterion for the considered class of saturated double porous media. This generalizes and improves previous results established by Shen et al. (2014). The results are discussed in terms of the existence or not of effective stresses. Some illustrations are provided.
mots clés Saturated double porous materials; Macroscopic strength; Plastic compressibility; Eshelby-like velocity fields; Drucker-Prager solids
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