Mechanics of porous polycrystals: A fully anisotropic flow potential

S. Ahzi, S. E. Schoenfeld

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6 Citations (Scopus)


A model for the elastic-viscoplastic behavior of a polycrystal material containing a dilute number of voids is proposed. The model couples crystal plasticity with a macroscopic description for porosity via the modification of a matrix flow potential to account for the presence of voids. This modification is similar to those used with phenomenological models that preserve macroscopic homogeneity and account for the voids through their volume fraction only. However, unlike the Gurson-type models, our matrix flow potential is fully anisotropic. It is derived by averaging the viscoplastic behavior of constituent single crystals deforming by crystallographic slip. The flow potential is defined in an intermediate configuration that is obtained by elastic unloading without rotation. The developed macroscopic anisotropic flow potential requires numerical solutions but has the advantage of accounting for coupled texture evolution and porosity effects. This paper presents a theoretical framework for the proposed approach.

Original languageEnglish
Pages (from-to)829-839
Number of pages11
JournalInternational Journal of Plasticity
Issue number8
Publication statusPublished - 1 Jan 1998



  • B. Crystal plasticity

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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