A new macroscopic criterion of porous materials with a Mises-Schleicher compressible matrix

Numerical modeling of the effective ductile damage of macroporous alumina

“…As already obtained on a hollow sphere by analytical approach (Thoré et al, 2009) or by limit analysis in FEM (Pastor et al, 2013), we observe that the yield surface of a porous Drucker-Prager matrix with branched and non-convex pores is closed by a cap. The overall yield surface is qualitatively the same cap-form as those obtained in literature for isotropic porous media containing spherical voids (e;g; Shen et al, 2015), which seems to show that the pore shape does not strongly affect this cap-form since the overall isotropy is respected.…”

“…Numerous types of pressure sensitive behavior of the matrix can be taken into account, e.g. (Shen et al, 2015). Moreover some studies combine classical fracture mechanisms approach or limit analysis of hollow sphere obeying a plastic criterion with FE simulation to search for macroscopic criterion, e.g.…”

A micromechanics-based enhanced plastic damage model including localization analysis for heterogeneous geomaterials

“…For example, some authors have considered effects of pore size and spatial distribution at different scales [25,12,7,29,58,59,47,44,51,43]; others have studied the void shape effects [14,15,22,26,27,46]. Different matrix properties have been investigated: Mises-Schleicher type matrix [23,11,28,56,54], Green type one [47,48,52,51,55,53] and Drucker-Prager type one [21,4,16,24,57,44,11,49] have also been investigated. On the other hand, some studies have focused on the effects of mineral grains in heterogeneous materials.…”

A damage model of mechanical behavior of porous materials: Application to sandstone

“…This most widely used criterion takes into account the porosity f of a porous material and improves significantly the phenomenological ones. Based on this pioneering work, a huge number of extensions have been proposed: introducing heuristic parameters to improve the Gurson’s criterion (Leblond et al., 1994; Tvergaard, 1981, 1982); changing the incompressible von Mises type matrix to a compressible one (Drucker–Prager type matrix (Guo et al., 2008; Jeong, 2002; Maghous et al., 2009), Mises–Schleicher type matrix (Durban et al., 2010; Lee and Oung, 2000; Monchiet and Kondo, 2012; Shen et al., 2015b), Green type matrix (Shen et al., 2014a,b, 2013, 2012)); considering the void shape from sphere to spheroid (Garajeu and Suquet, 1997; Gologanu et al., 1993, 1994, 1997; Keralavarma and Benzerga, 2010; Monchiet et al., 2014; Pardoen and Hutchinson, 2003; Shen et al., 2011); taking into account the tension–compression asymmetry and the anisotropy of the matrix (Benzerga et al., 1999; Cazacu and Stewart, 2009; Monchiet et al., 2008). On the other hand, some criteria have been established for a porous material with a von Mises type matrix by using variational techniques (Michel and Suquet, 1992; Ponte Castaneda, 1991; Sun and Wang, 1989, etc.).…”