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Local plastic deformation in the vicinity of grain boundaries in Fe–3 mass% Si alloy bicrystals and tricrystal

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Abstract

Nanoindentation was used to study incipient plastic deformation in the vicinity of grain boundaries of different character in Fe–3 mass% Si alloy bicrystals and tricrystal. Pop-in events associated with the grain boundaries were observed in the load–displacement curves. From the pop-in hardness values, the critical stresses required to propagate the yield past the grain boundary were estimated to be in the range of approximately µ/400–µ/130 (where µ is the shear modulus) depending on the grain boundary character: the special boundaries usually had higher critical stresses than the general boundaries. A Hall–Petch (H–P) type relationship was found between the hardness and the distance of the indenter to the grain boundary. The H–P slopes obtained were approximately one order of magnitude lower than the macroscopic value of the H–P slope for the Fe–3 mass% Si alloy, and were generally lower for general grain boundaries than for special boundaries.

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References

  1. Hall EO (1951) The deformation and ageing of mild steel: III. Discussion of results. Proc Phys Soc B 64:747–753

    Article  Google Scholar 

  2. Petch NJ (1953) The cleavage strength of polycrystals. J Iron Steel Inst 174:25–28

    Google Scholar 

  3. Westbrook JH, Aust KT (1963) Solute hardening at interfaces in high-purity lead—1. Grain and twin boundaries. Acta Metall 11:1151–1163

    Article  Google Scholar 

  4. Aust KT, Hannemann RE, Niessen P, Westbrook JH (1968) Solute induced hardening near grain boundaries in zone refined metals. Acta Metall 16:291–302

    Article  Google Scholar 

  5. Watanabe T, Kitamura S, Karashima S (1980) Grain boundary hardening and segregation in alpha iron–tin alloy. Acta Metall 28:455–463

    Article  Google Scholar 

  6. Chou YT, Cai BC, Roming AD Jr, Lin LS (1983) Correlation between grain-boundary hardening and grain-boundary energy in niobium bicrystals. Philos Mag A 47:363–368

    Article  Google Scholar 

  7. Kobayashi S, Tsurekawa S, Watanabe T (2005) Grain boundary hardening and triple junction hardening in polycrystalline molybdenum. Acta Mater 53:1051–1057

    Article  Google Scholar 

  8. Kobayashi S, Tsurekawa S, Watanabe T (2005) Structure-dependent triple junction and intergranular fracture in molybdenum. Philos Mag 86:5419–5429

    Article  Google Scholar 

  9. Wang MG, Ngan AHW (2004) Indentation strain burst phenomenon induced by grain boundaries in niobium. J Mater Res 19:2478–2486

    Article  Google Scholar 

  10. Soer WA, Aifantis KE, De Hosson JThM (2005) Incipient plasticity during nanoindentation at grain boundaries in body-centered cubic metals. Acta Mater 53:4665–4676

    Article  Google Scholar 

  11. Ohmura T, Tsuzaki K, Fuxing Y (2005) Nanoindentation-induced deformation behavior in the vicinity of single grain boundary of interstitial-free steel. Mater Trans 46:2026–2029

    Article  Google Scholar 

  12. Yang B, Vehoff H (2007) Dependence of nanohardness upon indentation size and grain size—a local examination of the interaction between dislocations and grain boundaries. Acta Mater 55:849–856

    Article  Google Scholar 

  13. Eliash T, Kazakevich M, Semenov VN, Rabkin E (2008) Nanohardness of molybdenum in the vicinity of grain boundaries and triple junctions. Acta Mater 56:5640–5652

    Article  Google Scholar 

  14. Britton TB, Randman D, Wilkinson AJ (2009) Nanoindentation study of slip transfer phenomenon at grain boundaries. J Mater Res 24:607–615

    Article  Google Scholar 

  15. Pathak S, Michler J, Wasmer K, Kalidindi SR (2012) Studying grain boundary regions in polycrystalline materials using spherical nano-indentation and orientation imaging microscopy. J Mater Sci 47:815–823. doi:10.1007/s10853-011-5859-z

    Article  Google Scholar 

  16. Worthington PJ, Smith E (1964) The formation of slip bands in polycrystalline 3% silicon iron in the pre-yield microstrain region. Acta Metall 12:1277–1281

    Article  Google Scholar 

  17. Johnston TL, Tetelman AS, McEvily AJ Jr (1965) On lattice effects and the strength of alloys. In: Zackay VF (ed) High-strength materials. Wiley, New York, pp 363–372

    Google Scholar 

  18. Tangri K, Tandon KH (1975) On the behaviour of grain boundary slip sources in Fe-3%Si steel. In: Westbrook H, Woodford DA (eds) Grain boundaries in engineering materials, Proceedings of the 4th Bolton landing conference. Claitor’s Publishing Division, Baton Rouge, LA, pp 327–338

  19. Murr LE (1975) Some observations of grain boundary ledges and ledges as dislocation sources in metals and alloys. Met Trans 6A:505–513

    Article  Google Scholar 

  20. Grabski MW, Wyrzykowski JW (1980) The effect of the spreading of grain boundary dislocations on the tensile behaviour of a fine-grained austenitic steel at high temperatures. Mater Sci Eng 44:229–237

    Article  Google Scholar 

  21. Murr LE (1981) Strain-induced dislocation emission from grain boundaries in stainless steel. Mater Sci Eng 51:71–79

    Article  Google Scholar 

  22. Varin RA, Tangri K (1985) The effect of boron and thermomechanical treatment on the properties of ultrafine-grained Type 316 stainless steel. Mater Sci Eng 72:177–190

    Article  Google Scholar 

  23. Varin RA, Kurzydlowski KJ, Tangri K (1987) Analytical treatment of grain boundary sources for dislocations. Mater Sci Eng 85:115–126

    Article  Google Scholar 

  24. Tabor D (1970) The hardness of solids. Rev Phys Technol 1:145–179

    Article  Google Scholar 

  25. Hull D (1961) Effect of grain size and temperature on slip, twinning and fracture in 3% silicon iron. Acta Metall 9:191–204

    Article  Google Scholar 

  26. Suits JC, Chalmers B (1961) Plastic microstrain in silicon–iron. Acta Metall 9:854–860

    Article  Google Scholar 

  27. Eshelby JD, Frank FC, Nabarro FRN (1951) The equilibrium of linear arrays of dislocations. Philos Mag 42:351–364

    Google Scholar 

  28. Lejček P, Hofmann S, Paidar V (2003) Solute segregation and classification of [100] tilt grain boundaries in α-iron: consequences for grain boundary engineering. Acta Mater 51:3951–3963

    Article  Google Scholar 

  29. Aifantis KE, Soer WA, De Hosson JThM, Willis JR (2006) Interfaces within strain gradient plasticity: theory and experiments. Acta Mater 54:5077–5085

    Article  Google Scholar 

  30. Aifantis KE, Ngan AHW (2007) Modeling dislocation–grain boundary interactions through gradient plasticity and nanoindentation. Mater Sci Eng A 459:251–261

    Article  Google Scholar 

  31. Sekido K, Ohmura T, Sawaguchi T, Koyama M, Park HW, Tsuzaki K (2011) Nanoindentation/atomic force microscopy analyses of ε-martensitic transformation and shape memory effect in Fe–28Mn–6Si–5Cr alloy. Scripta Mater 65:942–945

    Article  Google Scholar 

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Acknowledgements

The authors gratefully acknowledge Prof. Y. Morizono (Kumamoto University) for useful discussions. This work was financially supported by a Grant-in-Aid for Scientific Research (A) (24246125) from the Japan Society for the Promotion of Science and by the Grant GAP108/12/G043 from the Czech Science Foundation.

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Correspondence to Sadahiro Tsurekawa.

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Tsurekawa, S., Chihara, Y., Tashima, K. et al. Local plastic deformation in the vicinity of grain boundaries in Fe–3 mass% Si alloy bicrystals and tricrystal. J Mater Sci 49, 4698–4704 (2014). https://doi.org/10.1007/s10853-014-8150-2

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  • DOI: https://doi.org/10.1007/s10853-014-8150-2

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