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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.

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