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

• A new criterion is established for porous material with a Mises-Schleicher matrix.
• This criterion considers effects of the porosity and the matrix compressibility.
• The new criterion is assessed and validated by comparing with numerical results.
• The new result improves the existing ones in literature.

This study aims at determining the macroscopic strength of ductile porous materials with a Mises-Schleicher type compressible matrix. According to (Pastor et al., 2013b), there is no available criterion at the moment for this studied material. To this end, a new macroscopic criterion will be established in this paper by considering some special conditions. The newly derived criterion is then assessed and validated by comparing their predictions with numerical bounds (lower and upper bounds) proposed by (Pastor et al., 2013b). A good agreement is found not only for a Mises-Schleicher type matrix with weak asymmetry between tensile and compressive yield stresses, but also for a strongly asymmetric matrix with low and high porosities. The new macroscopic criterion improves the existing ones proposed by (Lee and Oung, 2000) and (Durban et al., 2010).