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An analysis of constrained deformation by slip and twinning in hexagonal close packed metals and alloys

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Abstract

A procedure for predicting the isostrain behavior of hcp metals and alloys which deform by basal, prism, and pyramidal slip as well as twinning is developed. This procedure assumes that deformation will occur on four slip systems and one or more twinning system(s). Stress states are derived for the simultaneous operation of all combinations of four slip systems for allc/a ratios as well as all values of the three critical-resolved shear stresses for slip. A numerical procedure for obtaining the remaining kinemati-cally required deformation by twinning is outlined for the case of impure titanium.

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References

  1. G. Y. Chin:Textures in Research and Practice, J. Grewen and G. Wassermann, eds., p. 51, Springer-Verlag, Berlin, 1969.

    Google Scholar 

  2. G. Sachs:Z. Ver. Deut. Ing., 1928, vol. 72, pp. 734–36.

    Google Scholar 

  3. G. I. Taylor:J. Inst. Metals, 1938, vol. 62, p. 307.

    Google Scholar 

  4. F.W. Bishop and R. Hill:Phil. Mag., 1951, vol. 42, pp. 414 and 1298.

    MATH  CAS  MathSciNet  Google Scholar 

  5. J. F. W. Bishop:Phil. Mag., 1953, vol. 44, p. 51.

    CAS  MathSciNet  Google Scholar 

  6. R. von Mises:Z. Angew Math. Mech., 1928, vol. 8, p. 161.

    Article  MATH  Google Scholar 

  7. U. F. Kocks:Met. Trans., 1970, vol. l,p. 1121.

    Google Scholar 

  8. E. A. Calnan and C.J.B. Clews:Phil. Mag., 1950, vol. 41, p. 1085.

    CAS  Google Scholar 

  9. E. A. Calnan and C. J. B. Clews:Phil. Mag., 1951, vol. 42, p. 616.

    CAS  Google Scholar 

  10. E. A. Calnan and C. J. B. Clews:Phil. Mag., 1951, vol. 42, p. 919.

    CAS  Google Scholar 

  11. E. A. Calnan and C. J. B. Clews:Phil. Mag., 1952, vol. 43, p. 93.

    Google Scholar 

  12. D. N. Williams and D. S. Epelsheimer:J. Inst. Metals, 1952-1953, vol. 81, p. 553.

    Google Scholar 

  13. D. O. Hobson:Trans. TMS-AIME, 1968, vol. 242, p. 1105.

    Google Scholar 

  14. W. F. Hosford:Textures in Research and Practice, J. Grewen and W. C. Wassermann, eds., p. 414, Springer-Verlag, Belin, 1969.

    Google Scholar 

  15. G. Dressier, K. H. Matucha, and P. Wincierz:Can. Met. Quart., 1972, vol. 11, p. 177.

    Google Scholar 

  16. P. G. Partridge:Met. Rev., 1967, vol. 12, no. 118, p. 169.

    CAS  Google Scholar 

  17. A. T. Churchman:Proc. Roy. Soc, 1954, vol. A226, p. 216.

    ADS  Google Scholar 

  18. R. W. K. Honeycombe:The Plastic Deformation of Metals, p. 226, St. Martin’s Press, New York, 1968.

    Google Scholar 

  19. G. Y. Chin and W. L. Mammel:Met. Trans., 1970, vol. 1, p. 357.

    Article  CAS  Google Scholar 

  20. G. W. Groves and A. Kelly:Phil. Mag., 1963, vol. 8, p. 877.

    Article  CAS  ADS  Google Scholar 

  21. E. Schmid:Proc. Int. Congr. Appl. Mech., p. 342, Delft., 1924.

  22. D. R. Thornburg and H. R. Piehler:Scientific Paper 73-1D5-OVHED-P1, Westinghouse Research Laboratories, Pittsburgh, Pa. 15235, August 1973.

    Google Scholar 

  23. D. R. Thornburg: Ph.D. Thesis, Carnegie-Mellon University, Pittsburgh, Pa., November 1971.

    Google Scholar 

  24. D. R. Thornburg and H. R. Piehler:Titanium Science and Technology, R. I. Jaffee and H. M. Burte, eds., vol. 2, p. 1187, Plenum Press, New York, 1973.

    Google Scholar 

  25. I. L. Dillamore and W. T. Roberts:Met. Rev., 1965, vol. 10, no. 39, p. 271.

    CAS  Google Scholar 

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Authors and Affiliations

  1. Westinghouse Research Laboratories, 15235, Pittsburgh, PA

    D. R. Thornburg (Fellow Engineer)

  2. Department of Metallurgy and Materials Science, Carnegie-Mellon University, 15213, Pittsburgh, PA

    H. R. Piehler (Associate Professor)

Authors
  1. D. R. Thornburg
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  2. H. R. Piehler
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Formerly a Graduate Student at Carnegie-Mellon University

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Thornburg, D.R., Piehler, H.R. An analysis of constrained deformation by slip and twinning in hexagonal close packed metals and alloys. Metall Trans A 6, 1511 (1975). https://doi.org/10.1007/BF02641962

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  • DOI: https://doi.org/10.1007/BF02641962

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