Role of the matrix plastic flow on the mechanical response of porous solids

Abstract eng:
It is shown that the mechanical response of porous metallic materials is strongly influenced by the particularities of the plastic flow of the matrix. This is demonstrated by comparing the dilatational response of porous solids for which the matrix is described by Tresca, von Mises, and Cazacu et al. [1] yield criterion, respectively. The analytical plastic potentials of the respective porous solids are developed using rigorous limit analysis theorems and upscaling techniques. If the matrix plastic response is governed by Tresca’s yield criterion, the rate of void growth or collapse is much faster than in a porous von Mises solid. However, if the plastic flow of the matrix is described by an odd function that accounts for both slip and twinning at single crystal level, the yield locus of the porous solid does not display any symmetry, with dramatic consequences in terms of the rate of void evolution, and ductility.

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