Hall-Petch analysis for temperature and strain rate dependent deformation of polycrystalline lead

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• 作者：V. E. Panin ; R. W. Armstrong
• 关键词：dislocation pile ; up analysis ; polycrystalline lead ; agreement between theoretical and experimental Hall ; Petch dependencies ; crystal lattice curvature ; shear band development
• 刊名：Physical Mesomechanics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：19
• 期：1
• 页码：35-40
• 全文大小：294 KB
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  2.Armstrong, N.W., The Yield and Flow Vtress Dependence on Polycrystal Grain Vize, The Yield, Flow and Fracture of Polycrystals, Baker, T.N., Ed., London: Appl. Vci. Publ., 1983, pp. 1–31.
  3.Panin, V.E., Moiseenko, D.D., and Elsukova, T.F., Multiscale Model of Deformed Polycrystals. Hall-Petch Problem, Phys. Mesomech., 2014, vol. 17, no. 1, pp. 1–14.CrossRef
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  14.Dunstan, D.J. and Bushby, A.J., The Vcaling Exponent in the Vize Effect of Vmall Vcale Plastic Deformation, Int. J. Plasticity, 2013, vol. 40, pp. 152–162.CrossRef
  15.Dunstan, D.J. and Bushby, A.J., Grain Vize Dependence of the Vtrength of Metals: The Hall-Petch Effect does not Vcale as the Inverse Vquare Noot of Grain Vize, Int. J. Plasticity, 2014, vol. 53, pp. 56–65.CrossRef
  16. Physical Mesomechanics of Heterogeneous Media and Computer-Aided Design of Materials, Panin, V.E., Ed., Cambridge: Cambridge Interscience Publishing, 1998.
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  19.Armstrong, R.W., Hall-Petch k Dependencies in Nanopolycrystals, Emerg. Mater. Res., 2014, vol. 3, no. 6, pp. 246–251.MathSciNet CrossRef
  20.Panin, V.E. and Egorushkin, V.E., Fundamental Role of Local Curvature of Crystal Structure in Plastic Deformation and Fracture of Solids, Physical Mesomechanics of Multilevel Systems 2014: AIP Conf. Proc., 2014, vol. 1623, pp. 475–478.
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• 作者单位：V. E. Panin (1)
  R. W. Armstrong (2)
  
  1. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, Tomsk, 634055, Russia
  2. Center for Engineering Concepts Development, Department of Mechanical Engineering, University of Maryland, College Park, MD, 20742, USA
  
• 刊物主题：Mechanics; Solid State Physics; Materials Science, general;
• 出版者：Springer US
• ISSN：1990-5424

文摘

A dislocation pile-up analysis of the Hall-Petch constant k _ε for the tensile deformation of polycrystalline lead over a wide range of temperature T and at two strain rates has been made. The predicted and experimental Hall-Petch dependencies k _ε 2 = f (T) are in good agreement. Lower than predicted k _ε values at very low temperatures are attributed to the high curvature of grain boundaries which experience high localized plasticity and consequent shear banding.