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Taylor Theory with Microscopic Slip Transfer Conditions

  • B. L. Adams
  • B. S. El-Dasher
  • R. Merrill
  • J. Basinger
  • D. S. Li
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 114)

Abstract

The main focus of the paper is an extension of the classical Taylor theory of plasticity to include the microscopic conditions for slip transfer at grain boundaries. It is demonstrated that such leads to consideration of the grain boundary character distribution function, in concert with the usual local state distribution function. The primary result is an expression for the generalized Taylor Factor that includes an inverse grain size dependence (Hall-Petch).

Key words

crystal plasticity grain boundaries microscopic conditions 

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References

  1. 1.
    Taylor, G. I. Plastic strains in metals. Journal of the Institute of Metals 1938; 62:307–24.Google Scholar
  2. 2.
    Shen, Z., Wagoner, R. H. and Clark, W.A.T. Dislocation and Grain Boundary Interactions in Metals. Acta Metallurgica 1988; 36:3231–42.CrossRefGoogle Scholar
  3. 3.
    Jacques, A., Michaud, H.-M., Baillin, X. and George, A. New results on dislocation transmission by grain boundaries in elemental semiconductors. Journal de Physique 1990; 51:Colloq. C1, supple. au n°l, C1–531–6.Google Scholar
  4. 4.
    Lee, T. C., Robertson, I.M. and Birnbaum, H. K. An in-situ transmission electron microscope deformation study of the slip transfer mechanisms in metals. Metallurgical Transactions 1990; 21A:2437–47.CrossRefGoogle Scholar
  5. 5.
    Bunge, H.-J. Texture Analysis in Materials Science. London, Butterworths, 1982.Google Scholar
  6. 6.
    Park, N. J., Klein, H. and Dahlem-Klein, E. Physical Properties of Textured Materials. Gottingen, Cuvillier Verlag, 1993.Google Scholar
  7. 7.
    Sun, S., Adams, B. L. and King, W. E. Observations of lattice curvature near the interface of a deformed aluminum bicrystal. Philosophical Magazine A 2000; 80:9–25.CrossRefGoogle Scholar
  8. 8.
    Adams, B. L. and Field, D. P. Measurement and representation of grain boundary texture. Metallurgical Transactions 1992; 23A:2501–2513.CrossRefGoogle Scholar
  9. 9.
    Adams, B. L. and Olson, T. The mesostructure-properties linkage in polycrystals. Journal of Progress in Materials Science 1998; 43:1–88.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • B. L. Adams
    • 1
  • B. S. El-Dasher
    • 2
  • R. Merrill
    • 1
  • J. Basinger
    • 1
  • D. S. Li
  1. 1.Mechanical EngineeringBrigham Young UniversityProvoUSA
  2. 2.Materials Science and EngineeringCarnegie Mellon UniversityPittsburghUSA

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