Abstract
Crystal imperfections affect the stress-strain diagram in a number of ways, often increasing the tensile strength as the density of imperfections increase or their geometry creates partitioning of the crystal structure. Work hardening and strain hardening are also dependent upon imperfections. Hardness and yield stress for many metals and alloys are related by a simple relationship, σy = H/3, while the yield stress is often expressed by a Hall-Petch-type relationship, dependent upon the reciprocal square root of the grain size. These issues are presented in this chapter.
References
Armstrong RW (2014) Engineering science aspects of the Hall-Petch relation. Acta Mech 225(4):1013–1028
Armstrong RW (2017) Dislocation pile-ups, strength properties, and fracturing. Rev Adv Mater Sci 48:1–12
Campbell JD (1972) Dynamic plasticity of metals. Springer, Vienna
Hall EO (1951) The deformation and aging of mild steel: III discussion and results. Proc Roy Soc B64:474
Johnson KA, Murr LE, Staudhammer KP (1985) Comparison of residual microstructures for 304 stainless steel shock loaded in plane and cylindrical geometries: implications for dynamic compaction and forming. Acta Metall 33(4):677–684
Kato M (2014) Hall-Petch relationship and dislocation model for deformation of ultra-finegrained and nanocrystalline metals. Mater Trans 55(1):19–24
Kawasaki M, Lee H-J, Jang J-I, Langdon TG (2017) Strengthening of metals through severe plastic deformation. Rev Adv Mater Sci 48:13–24
Meyers MA, Chawla KK (1984) Mechanical metallurgy: principles and applications. Prentice-Hall, Englewood Cliffs
Muga CO, Zhang ZW (2016) Strengthening mechanisms of magnesium-lithium-based alloys and composites. Adv Mater Sci Engng:1078187. 16 pages
Murr LE (1975) Interfacial phenomena in metals and alloys. Addison-Wesley publishing co., reading. Crater-related microstructures in thick copper targets: part 2. J Mater Sci 32:3147–3156
Murr LE (2000) Industrial materials science and engineering, chap. 6.6. In: Shell RL, Hall EL (eds) Handbook and industrial automation. Marcel Dekker, New York, pp 529–566
Murr LE (2016) Dislocation ledge sources: dispelling the myth of Frank-Read source importance. Metall Mater Trans A 47(12):5811–5826
Murr LE, Niou CS, Ferreyra E, Garcia EP, Liu G, Horz F, Bernhard RP (1997) Effect of initial microstructure on high velocity and hypervelocity impact cratering and crater-related microstructures in thick copper targets: part 2. J Mater Sci 32:3147–3156
Petch NJ (1953) The cleavage strength of polycrystals. J Iron Steel Inst 174:25–28
Sanchez J, Murr LE, Staudhammer KP (1997) Effect of grain size and pressure on twinning and microbanding in oblique shock loading of copper rods. Acta Mater 45(8):3223–3235
Sansoz F, Lu K, Zhu T, Misra A (2016) Strengthening and plasticity in nanotwinned metals. MRS Bull 41(4):292–297
Yousef KM, Zaddach AJ, Niu C, Irving DL, Kock CC (2015) A novel low density, high hardness, high entropy alloy with close-packedsingle-phase nanocrystalline structure. Mater Res Lett 3(2):95–99
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Murr, L.E. (2017). Strengthening by Crystal Imperfections. In: Handbook of Materials Structures, Properties, Processing and Performance. Springer, Cham. https://doi.org/10.1007/978-3-319-01905-5_18-2
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DOI: https://doi.org/10.1007/978-3-319-01905-5_18-2
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Chapter history
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Latest
Strengthening by Crystal Imperfections- Published:
- 01 August 2017
DOI: https://doi.org/10.1007/978-3-319-01905-5_18-2
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Original
Strengthening by Crystal Imperfections- Published:
- 11 June 2014
DOI: https://doi.org/10.1007/978-3-319-01905-5_18-1