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Homogenization method for strength and inelastic behavior of nanocrystalline materials. (English) Zbl 1112.74472
Summary: Homogenization techniques are used for modeling the so-called ”breakdown” of the Hall–Petch law in the case of nanocrystalline (NC) materials. In this paper, the NC material is modeled as a composite material composed of two phases: the grain core (inclusion) and the grain boundaries (matrix). The deformation of the inclusion phase has a viscoplastic component that takes into account the dislocation glide mechanism as well as Coble creep. The boundary phase is modeled as an amorphous material with a perfect elastic–plastic behavior. An application of the model is developed on pure copper under tensile load. The results are compared with various experimental data.

74Q99 Homogenization, determination of effective properties in solid mechanics
74E15 Crystalline structure
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