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Dislocation mobility in lead and Pb-In alloy single crystals

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Abstract

Dislocation velocities were determined from the length of slip bands produced on the surface of single crystals of lead and Pb-In alloys by the application of stress pulses of a few microseconds duration. Experiments were conducted at temperatures varying between 4.2° and 298°K in both the normal and the superconducting states of the metals. The velocities studied were in the range 103 to 105 cm per sec. At each temperature studied, the dislocation velocity in lead was found to vary linearly with applied stress in the early stages. At higher stresses the velocity tends to approach some limiting velocity equal to the shear sound velocity in the metal. The damping coefficientsB were calculated from the slopes of the linear portion of the dislocation velocity-stress curves. The value ofB at 77°K was smaller than that at 298‡K. Tests carried out in the normal lead at temperatures between 10° and 30°K showed thatB increases with decreasing temperature. The value ofB at 4.2°K in the superconducting lead was smaller than the values ofB in the normal lead at higher temperatures. Qualitative comparison of these results with existing theories indicates that the dislocation mobility in lead, within the velocity range studied, is controlled by interaction of the moving dislocation with thermal vibrations and the viscosity of the conduction electrons in the lattice. The damping coefficients in the alloy are higher than those in the pure metal.

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References

  1. W. G. Johnston and J. J. Gilman:J. Appl. Phys., 1959, vol. 30, p. 129.

    Article  CAS  Google Scholar 

  2. E. Y. Gutmanas, E. M. Nadgomyi, and A. V. Stepanov:Soviet Phys. Solid State, 1963, vol. 5, p. 743.

    Google Scholar 

  3. G. A. Keig and R. L. Coble:J. Appl. Phys., 1968, vol. 39, p. 6090.

    Article  CAS  Google Scholar 

  4. A. R. Chaudhuri, J. R. Patel, and L. F. Rubin:J. Appl. PHys., 1962, vol. 33, p. 2736.

    Article  CAS  Google Scholar 

  5. D. F. Stein and J. R. Low:J. Appl. Phys., 1960, vol. 31, p. 362.

    Article  CAS  Google Scholar 

  6. J. Cotner and J. Weertman:Discussions Farad. Soc, 1964, vol. 38, p. 225.

    Article  Google Scholar 

  7. H. L. Prekel and H. Conrad:Acta Met., 1967, vol. 15, p. 955.

    Article  CAS  Google Scholar 

  8. H. D. Guberman:Acta Met., 1968, vol. 16, p. 713.

    Article  CAS  Google Scholar 

  9. R. W. Rhode and C. H. Pitt:J. Appl. Phys., 1967, vol. 38, p. 876.

    Article  Google Scholar 

  10. W. F. Greenman, T. Vteeland, Jr., and D. S. Wood:J. Appl. Phys., 1967, vol. 38, p. 3595.

    Article  CAS  Google Scholar 

  11. D. P. Pope, T. Vreeland, Jr., and D. S. Wood:J. Appl. Phys., 1967, vol. 38, p. 4011.

    Article  CAS  Google Scholar 

  12. R. C. Blish II and T. Vreeland, Jr.:J. Appl. Phys., 1969, vol. 40, p. 884.

    Article  Google Scholar 

  13. J. A. Gorman, D. S. Wood, and T. Vreeland, Jr.:J. Appl. Phys., 1969, vol. 40, p. 833.

    Article  CAS  Google Scholar 

  14. J. A. Gorman, D. S. Wood, and T. Vreeland, Jr.:J. Appl. Phys., 1969, vol. 40, p. 903.

    Article  CAS  Google Scholar 

  15. Dislocation Dynamics, Rosenfieldet. al, eds., p. 572, McGraw-Hill, New York, 1968.

    Google Scholar 

  16. O. E. Jones and J. D. Mote:J. Appl. Phys., 1969, vol. 40, p. 4920.

    Article  CAS  Google Scholar 

  17. J. Weertman:Response of Metals to High Velocity Deformation, Shewmon and Zackay, eds., p. 205, Interscience, New York, 1961.

    Google Scholar 

  18. J. Weertman:J. Appl. Phys., 1962, vol. 33, p. 1631.

    Article  CAS  Google Scholar 

  19. A. Van Hull and J. Weertman:J. Appl. Phys., 1962, vol. 33, p. 1636.

    Article  Google Scholar 

  20. J. Weertman:Phys. Rev., 1960, vol. 119, p. 1871.

    Article  CAS  Google Scholar 

  21. J. Weertman:J. Appl. Phys., 1966, vol. 37, p. 4925.

    Article  CAS  Google Scholar 

  22. J. Weertman:J. Appl. Phys., 1967, vol. 38, p. 5293.

    Article  Google Scholar 

  23. J. Weertman:J. Appl. Phys., 1967, vol. 38, p. 2612.

    Article  CAS  Google Scholar 

  24. J. Weertman:Phil. Mag., 1968, vol. 18, p. 959.

    Article  Google Scholar 

  25. J. Weertman:Mathematical Theory of Dislocations, T. Mura, ed., pp. 178–202, ASME, New York, 1968.

    Google Scholar 

  26. D. W. Moon and T. Vreeland, Jr.:J. Appl. Phys., 1968, vol. 39, p. 1766.

    Article  CAS  Google Scholar 

  27. D. A. Waldorf and G. A. Alers:J. Appl. Phys., 1962, vol. 33, p. 3266.

    Article  CAS  Google Scholar 

  28. W. P. Mason:Phys. Rev., 1966, vol. 143, p. 229.

    Article  CAS  Google Scholar 

  29. W. P. Mason and A. Rosenberg:J. Appl. Phys., 1967, vol. 38, p. 1929.

    Article  CAS  Google Scholar 

  30. B. R. Tittman and H. E. Bommel:Phys. Rev., 1966, vol. 151, p. 178.

    Article  Google Scholar 

  31. A. Hikata and C. Elbaum:Phys. Rev. Lett, 1968, vol. 18, p. 750.

    Article  Google Scholar 

  32. V. R. Parameswaran and J. Weertman:Scripta Met., 1969, vol. 3, p. 477.

    Article  CAS  Google Scholar 

  33. K. Marukawa:J. Phys. Soc. Japan, 1967, vol. 22, p. 499.

    Article  CAS  Google Scholar 

  34. T. Imura and S. Takeda:J. Phys. Soc. Japan, 1969, vol. 26, p. 1326.

    Article  CAS  Google Scholar 

  35. T. Suzuki, A. Ikushima, and M. Aoki:Acta Met., 1964, vol. 12, p. 1231.

    Article  Google Scholar 

  36. O. M. Mitchell:J. Appl. Phys., 1965, vol. 36, p. 2083.

    Article  CAS  Google Scholar 

  37. W.P. Mason and A. Rosenberg:Phys. Rev., 1966, vol. 151, p. 434.

    Article  CAS  Google Scholar 

  38. G. A. Alers and D. O. Thompson:J. Appl. Phys., 1961, vol. 32, p. 283.

    Article  CAS  Google Scholar 

  39. W. P. Mason:J. Acoust Soc. Am., 1960, vol. 32, p. 458.

    Article  Google Scholar 

  40. V. B. Pariiskii, S. V. Lubenets, and V. I. Startsev:Soviet Phys. Solid State, 1966, vol. 8, p. 976.

    Google Scholar 

  41. T. Suzuki:Dislocation Dynamics, Proc. Battelle Conf., Rosenfieldet. al., eds., McGraw-Hill, New York, 1969.

    Google Scholar 

  42. L. D. Landau and E. Lifshitz:The Classical Theory of Fields, Addison-Wesley Publishing Co., Reading, Mass., 1962.

    Google Scholar 

  43. J. J. Gilman:Mechanical Behavior of Materials Under Dynamic Loads, U. D. Lindholm, ed., Springer-Verlag, New York, 1968.

    Google Scholar 

  44. J. Weertman:Physics of Strength and Plasticity, Ali S. Argon, ed., The MIT Press, Cambridge, Mass., 1969.

    Google Scholar 

  45. A. V. Granato and K. Lucke:Physical Acoustics, vol. IV, Part A, W. P. Mason, ed., Academic Press, New York and London, 1966.

    Google Scholar 

  46. F. R. N. Nabarro:Theory of Crystal Dislocations, Clarendon Press, Oxford, 1967.

    Google Scholar 

  47. J. D. Eshelby:Proc. Roy. Soc. London, 1957, vol. A197, p. 396.

    Google Scholar 

  48. W. P. Mason:Appl Phys. Lett, 1965, vol. 6, p. 111.

    Article  CAS  Google Scholar 

  49. J. Lothe:J. Appl. Phys., 1962, vol. 33, p. 2116.

    Article  Google Scholar 

  50. C. Elbaum and A. Hikata:Phys. Rev. Lett, 1968, vol. 20, p. 264.

    Article  CAS  Google Scholar 

  51. A. Hikata and C. Elbaum:Proc. Int. Conf. Strength of Metals and Alloys, Suppl. to the Trans. Jap. Inst. Metals, 1968, vol. 9, p. 46.

    CAS  Google Scholar 

  52. G. Leibfried:Z. Physik, 1950, vol. 127, p. 344.

    Article  CAS  Google Scholar 

  53. V. I. Startsev, V. V. Pustovalov, and V. S. Fomenko:Proc. Int. Conf. Strength of Metals and Alloys, Tokyo, l967; Suppl. to Trans. Jap. Inst. of Metals, 1968, vol. 9, p. 843; also, Acad. of Sci. of the Ukr. SSR Physico-Tech. Inst. Low Temp. Rept., April 1969.

    CAS  Google Scholar 

  54. H. Kojim and T. Suzuki:Phys. Rev. Lett., 1968, vol. 21, p. 896.

    Article  Google Scholar 

  55. R. Kishore and K. N. Pathak:Phys. Rev., 1969, vol. 183, p. 672.

    Article  Google Scholar 

  56. J.Van Der Planken and A. Deruyttere:J. Mater. Sci., 1969, vol. 4, p. 499.

    Article  Google Scholar 

  57. F. R. N. Nabarro:Proc. Phys. Soc, 1946, vol. 58, p. 669.

    Article  CAS  Google Scholar 

  58. N. F. Mott:Imperfections in Nearly Perfect Crystal, W. Shockleyet al, eds., p. 173, John Wiley & Sons, New York, 1952.

    Google Scholar 

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Authors and Affiliations

  1. Department of Materials Science, Northwestern University, Evanston, Ill

    V. R. Parameswaran (Research Associate) & J. Weertman (Professor)

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  1. V. R. Parameswaran
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  2. J. Weertman
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This paper is based upon a thesis submitted by V. R. PARAMESWARAN in partial fulfillment of the requirements of the degree of Doctor of Philosophy at Northwestern University.

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Parameswaran, V.R., Weertman, J. Dislocation mobility in lead and Pb-In alloy single crystals. Metall Trans 2, 1233–1243 (1971). https://doi.org/10.1007/BF02664257

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  • DOI: https://doi.org/10.1007/BF02664257

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