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Two-phase model of the polycrystalline aggregate with account for grain-boundary states under quasi-static deformation

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arxiv 1809.03628 v4 pith:ZOZOBKNN submitted 2018-09-10 cond-mat.mes-hall cond-mat.softcond-mat.stat-mech

Alexander A. Reshetnyak , Yurii P. Sharkeev This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.softcond-mat.stat-mech
keywords phasesamplessecondstrengthyieldarxivcond-matdeformation
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The statistical theory of flow stress, including yield strength, for polycrystalline materials under quasi-static plastic deformation suggested in [arxiv:1803.08247[cond-mat.mtr-sci], arxiv:1805.08623[cond-mat.mtr-sci]] is developed in the framework of a two-phase model. Analytic and graphic forms of the generalized Hall-Petch relations are obtained for samples with BCC (\alpha-phase Fe), FCC (Cu, Al, Ni) and HCP (\alpha-Ti, Zr) crystalline lattices at T=300K with different values of grain-boundary (second) phase. The maximum of yield strength and respective extremal grain size of the samples are shifted by changing of the second phase. Temperature dependence in the range 100-350K for yield strength (using the example of Al) revealed its increase for closely packed nano-crystalline samples with the growth of temperature. An enlargement of the second phase in a sample neutralizes this property.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On a joint quantized and mechanical description for the Chernov-L\"uders macroband of localized deformation

    cond-mat.mes-hall 2019-09 reject novelty 4.0 of 10

    A two-level quantum model of dislocon absorption and emission yields grain-size dependent dislocation density and flow stress formulas, and a three-level extension qualitatively explains Chernov-Lüders bands.

  2. Towards a theory of flow stress in multimodal polycrystalline aggregates. Effects of dispersion hardening

    cond-mat.mtrl-sci 2019-08 conditional novelty 4.0 of 10

    The authors extend their two-phase statistical model of polycrystal yield strength to include dispersion particles, computing generalized Hall-Petch curves and their extrema for Fe, Cu, Al, Ni, Ti, and Zr.

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