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Deformation by moving interfaces

  • The 1981 Institute of Metals Lecture The Metallurgical Society of AIME
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Abstract

Quite large strains may be produced by the migration of glissile interfaces in processes such as deformation twinning, martensitic transformation, and variant conversion in a martensitic product. In the absence of appreciable dislocation glide, the atomic displacements associated with moving boundaries constitute highly ordered and reversible modes of either plastic or nonlinear pseudo-elastic deformation. Pure interface deformation is most readily obtained in specimens in which preexisting interfaces move under relatively small applied stresses and there are then well-defined limiting strains associated with a given distribution of interfaces, but in some alloys it is also possible both to nucleate and to grow reorientated or transformed regions at stresses lower than those at which dislocation deformation begins. Reversibility of interface-produced deformation leads to such phenomena as elastic twinning, thermoelastic martensite, superelasticity, shape memory and two-way (or reversible) shape memory effects, and rubber-like (or ferro-elastic) behavior. It now seems possible to provide a unified description of these effects and to include discussions of the strains which may be obtained from various interface configurations, the competition between dislocation and interface-produced deformation, the importance of elastic accommodation, geometrical and atomic models of coherent and semicoherent interfaces and of twinning and transformation dislocations, and the mechanisms of nucleation and growth.

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References

  1. F.C. Frank:Phil. Mag., 1951, vol. 42, pp. 809–19.

    CAS  Google Scholar 

  2. K. V. Vladimirskiy:Zh. Eksper. Teor. Fiz., 1947, vol. 17, p. 530.

    Google Scholar 

  3. F.C. Frank and J. H. van der Merwe:Proc. Roy. Soc. A, 1949, vol. 198, pp. 205–25.

    CAS  Google Scholar 

  4. F. Kroupa:Czech. J. Phys., 1959, vol. B9, pp. 488–94.

    Google Scholar 

  5. J. W. Christian and A. G. Crocker:Dislocations in Solids, F. R. N. Nabarro, ed., North-Holland, Amsterdam, 1980, vol. 3, pp. 165–250.

    Google Scholar 

  6. B.A. Bilby:Phil. Mag., 1953, vol. 44, pp. 782–85.

    CAS  Google Scholar 

  7. B.A. Bilby and J. W. Christian:The Mechanism of Phase Transformations in Solids, The Institute of Metals, London, 1956, pp. 121–72.

    Google Scholar 

  8. B.A. Bilby and E. Smith:Proc. Roy. Soc. A, 1956, vol. 236, pp. 481–505.

    Google Scholar 

  9. A.J. Bogers and W. G. Burgers:Acta Mét., 1964, vol. 12, pp. 255–61.

    CAS  Google Scholar 

  10. G.B. Olson and M. Cohen:Metall. Trans. A, 1976, vol. 7A, pp. 1897–1923.

    CAS  Google Scholar 

  11. R. Bullough and B.A. Bilby:Proc. Phys. Soc, 1956, vol. 69B, pp. 1276–86.

    CAS  Google Scholar 

  12. J. W. Christian:J. de Phys., 1974, Colloque C-7, suppl. to vol. 35, pp. C7–65-76.

    Google Scholar 

  13. J. W. Christian:The Theory of Transformations in Metals and Alloys, 2nd ed., Pergamon Press Ltd., Oxford, 1975, vol. 1.

    Google Scholar 

  14. J. W. Christian:Interfaces Conference, R. C. Gifkins, ed., The Australian Institute of Metals and Butterworths, Sydney and London, 1969, pp. 159–84.

    Google Scholar 

  15. E. Schmid and W. Boas:Kristallplastizitat, Springer, Berlin, 1936.

    Google Scholar 

  16. K. Otsuka, C. M. Wayman, K. Nakai, H. Sakamoto, and K. Simizu:Acta Met., 1976, vol. 24, pp. 207–26.

    CAS  Google Scholar 

  17. K. Otsuka and C. M. Wayman:Reviews on the Deformation Behavior of Materials, P. Feltham, ed., vol. II, Freund, Tel Aviv, 1977, pp. 81–172.

    Google Scholar 

  18. Z.S. Basinski and J.W. Christian:Acta Met., 1954, vol. 2,. pp. 101–16.

    CAS  Google Scholar 

  19. D. K. Bowen and J. W. Christian:Phil. Mag., 1965, vol. 12, pp. 369–78.

    Google Scholar 

  20. Z.S. Basinski and J.W. Christian:Acta Met., 1954, vol. 2, pp. 148–64.

    CAS  Google Scholar 

  21. J.F. Nye:Acta Met., 1953, vol. 1, pp. 153–62.

    CAS  Google Scholar 

  22. J.R. Patel and M. Cohen:Acta Met., 1953, vol. 1, pp. 531–38.

    CAS  Google Scholar 

  23. L. Delaey and H. Warlimont:Shape Memory Effeds in Alloys, J. Perkins, ed., TMS-AIME, Plenum Press, New York, NY, 1975, pp. 89–114.

    Google Scholar 

  24. K. Otsuka, H. Sakamoto, and K. Shimizu:Scripta Met. 1976, vol. 10, pp. 983–88.

    CAS  Google Scholar 

  25. S. Miura, M. Ito, F. Hori, and N. Nakanishi:Proc. 1st JIM Int. Symp. on New Aspects of Mart. Transf., Suppl. Trans. JIM, 1976, pp. 257-62.

  26. T.A. Schroeder and C. M. Wayman:Acta Met., 1978, vol. 26, pp. 1745–57.

    CAS  Google Scholar 

  27. K. Otsuka and K. Shimizu:Proc. Int. Conf. on Mart. Transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 607-18.

  28. L. Delaey, J. Janssen, J. Van Humbeeck, J. Luyten, and A. Deruyttere:Proc. Int. Conf. on Mart. Transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 645–48.

    Google Scholar 

  29. G. Stone and G. Thomas:Metall. Trans., 1974, vol. 5, pp. 2095–102.

    CAS  Google Scholar 

  30. M. Kato and T. Mori:Acta Met., 1976, vol. 24, pp. 853–60.

    CAS  Google Scholar 

  31. M. Kato and T. Mori:Acta Met., 1977, vol. 25, pp. 951–56.

    CAS  Google Scholar 

  32. A. Sato, M. Kato, and T. Mori:Proc. Int. Conf. on Mart. Transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 331-36.

  33. M.W. Burkart and T. A. Read:Trans. AIME, 1953, vol. 197, pp. 516–24.

    Google Scholar 

  34. P. Wollants, M. De Bonte, L. Delaey, and J. R. Roos:Zeit. Metallic., 1979, vol. 70, pp. 146–51, 298-304.

    CAS  Google Scholar 

  35. P. Wollands, M. De Bonte, L. Delaey, and J.R. Roos:Proc. Int. Conf. on Mart. Transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 283-88.

  36. R. J. Salzbrenner and M. Cohen:Acta Met., 1979, vol. 27, pp. 739–48.

    CAS  Google Scholar 

  37. L. C. Chang and T. A. Read:Trans. AIME, 1951, vol. 191, pp. 47–52.

    CAS  Google Scholar 

  38. R.P. Zerwekh and C. M. Wayman:Acta Met., 1965, vol. 13, pp. 99–107.

    CAS  Google Scholar 

  39. K. Otsuka, M. Takahashi, and K. Shimizu:Metall. Trans., 1973, vol. 4, pp. 2003–06.

    CAS  Google Scholar 

  40. R.I. Garber:Dokl. Akad. Nauk SSSR, 1938, vol. 21, p. 229.

    CAS  Google Scholar 

  41. R.I. Garber:J. Phys. USSR, 1940, vol. 2, pp. 313-, 1947, vol. 11, p. 55, 319.

    CAS  Google Scholar 

  42. A.M. Kosevich:Dislocations in Solids, F. R. N. Nabarro, ed., North-Holland, Amsterdam, 1980, vol. 1, pp. 33–141.

    Google Scholar 

  43. A.B. Greninger and V.G. Mooradian:Trans. AIME, 1938, vol. 128, pp. 337–55.

    Google Scholar 

  44. G.V. Kurdjumov and L.G. Khandros:Dokl. Akad. Nauk SSSR, 1949, vol. 66, pp. 211–14.

    Google Scholar 

  45. J.W. Christian:Physical Properties of Martensite and Bainite, Iron and Steel Institute Spec. Rep. 93, pp. 1-19.

  46. P. Gaunt and J. W. Christian:Acta Met., 1959, vol. 7, pp. 529–33.

    CAS  Google Scholar 

  47. A.J. Williams, R.W. Cahn, and C.S. Barrett:Acta Met., 1954, vol. 2, pp. 117–28.

    CAS  Google Scholar 

  48. Z.S. Basinski and J. W. Christian:J. Inst. of Metals, 1951-2, vol. 80, pp. 659–66.

    Google Scholar 

  49. Z.S. Basinski and J.W. Christian:Acta Met., 1956, vol. 4, pp. 371–78.

    CAS  Google Scholar 

  50. J.S. Bowles, C.S. Barrett, and L. Guttman:Trans. AIME, 1950, vol. 188, pp. 1478–85.

    CAS  Google Scholar 

  51. H. Warlimont and L. Delaey:Progr. in Mater. Sci., 1974, vol. 18.

  52. K. Otsuka and, K. Shimizu:Trans. JIM, 1974, vol. 15, pp. 109–13.

    CAS  Google Scholar 

  53. T. A. Schroeder, I. Comelis, and C. M. Wayman:Metall. Trans. A, 1976, vol. 7A, pp. 535–53.

    CAS  Google Scholar 

  54. T.A. Schroeder and C. M. Wayman:Acta Met., 1977, vol. 25, pp. 1375–91.

    CAS  Google Scholar 

  55. T. Saburi, C. M. Wayman, K. Y. Takata, and S. Nenno:Acta Met., 1980, vol. 28, pp. 15–32.

    CAS  Google Scholar 

  56. T. Saburi and C. M. Wayman:Acta Met., 1980, vol. 28, pp. 1–14.

    CAS  Google Scholar 

  57. C. M. Wayman:Phase Transformations, Spring conf., The Institution of Metallurgists, Series 3, No. 11, London, 1979, pp. IV–1-21.

    Google Scholar 

  58. J.M. Cook: Ph.D. Thesis, Cambridge, Univ., 1981.

  59. J. W. Christian:The Theory of Transformations in Metals and Alloys, 1st ed., Pergamon Press, Oxford, 1965.

    Google Scholar 

  60. G.B. Olson and W. S. Owen:Proc. 1st JIM Int. Symp. on New Aspects of Mart. Transf., Suppl. Trans. JIM, 1976, pp. 105-10.

  61. C. M. Wayman:Proc. 1st JIM Int. Symp. on New Aspects of Mart. Transf. Suppl. Trans. JIM, 1976, vol. 17, pp. 159–70.

    Google Scholar 

  62. J. D. Eshelby:Proc. Roy. Soc./A/, 1957, vol. 241, pp. 376–96.

    Google Scholar 

  63. J. W. Christian:Acta Met., 1958, vol. 6, pp. 377–79.

    Google Scholar 

  64. G. B. Olson and M. Cohen:Scripta Met., 1975, vol. 9, pp. 1247–54.

    CAS  Google Scholar 

  65. G.B. Olson and M. Cohen:Scripta Met., 1977, vol. 11, pp. 345–47.

    CAS  Google Scholar 

  66. H.C. Tong and C. M. Wayman:Acta Met., 1975, vol. 23, pp. 209–15.

    CAS  Google Scholar 

  67. H.C. Tong and C. M. Wayman:Scripta Met., 1977, vol. 11, pp. 341–43.

    Google Scholar 

  68. H. C. Ling and W. S. Owen:Proc. Int. Conf. on Mart. Transf., ÏCOMAT 1976, Kiev, 1976, pp. 180-85.

  69. H.C. Ling and W. S. Owen:Proc. Int. Conf. on Mart. Transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 368-71.

  70. H. S. Ling and W. S. Owen:Acta Met., in press.

  71. A.D. Michael and W. B. Hart:The Metallurgist and Materials Technologist, 1980, vol. 12, pp. 434–40.

    CAS  Google Scholar 

  72. A. Ölander:Zeit. Kristall., 1932, vol. 83A, pp. 145–48.

    Google Scholar 

  73. A. Ölander:J. Amer. Chem. Soc., 1932, vol. 54, pp. 3819–33.

    Google Scholar 

  74. D. S. Lieberman, M. A. Schmerling, and R. W. Karz:Shape Memory Effects in Alloys, J. Perkins, ed., Plenum Press, New York, NY, 1975, pp. 203–44.

    Google Scholar 

  75. C. Benedicks:Arkiv for Mat. Astr. och Fys., 1940-1, vol. 27A, no. 18.

  76. A. Bystrom and K. E. Almin:Acta Chem. Scand., 1947, vol. 1, pp. 76–89.

    Article  CAS  Google Scholar 

  77. J.E. Reynolds and M. B. Bever:Trans. AIME, 1952, vol. 54, pp. 1065–66.

    Google Scholar 

  78. E. Hornbogen and G. Wassermann:Zeit. Metallk., 1956, vol. 47, pp. 427–33.

    CAS  Google Scholar 

  79. W. A. Rachinger:Brit. J. Appl. Phys., 1958, vol. 9, pp. 250–52.

    Google Scholar 

  80. L. Delaey and J. Thienel:Shape Memory Effects in Alloys, J. Perkins, ed., Plenum Press, New York, NY, 1975, pp. 341–50.

    Google Scholar 

  81. W. J. Buehler, J. V. Gilfrich, and R. C. Wiley:J. Appl. Phys., 1963, vol. 34, pp. 1475–77.

    CAS  Google Scholar 

  82. R. J. Wasilewski:Metall. Trans., 1971, vol. 2, pp. 2973–81.

    CAS  Google Scholar 

  83. C. M. Wayman and K. Shimizu:Met. Sci. J., 1972, vol. 6, pp. 175–83.

    CAS  Google Scholar 

  84. H. Tas, L. Delaey, and A. Deruyttere:J. Less-Common Metals, 1972, vol. 28, pp. 141–51.

    CAS  Google Scholar 

  85. L. Delaey, R. V. Krishnan, H. Tas, and H. Warlimont:J. Mater. Sci., 1974, vol. 9, pp. 1521–35, 1536-44, 1545-55.

    CAS  Google Scholar 

  86. T. Saburi, S. Nenno, and C. M. Wayman:Proc. Int. Conf. on Mart,transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 619-32.

  87. J. Perkins, ed.:Shape Memory Effects in Alloys, Plenum Press, New York, NY, 1975.

    Google Scholar 

  88. D. S. Lieberman:Phase Transformations, ASM, Metals Park, OH, 1970, pp. 1–58.

    Google Scholar 

  89. N. Nakanishi:Shape Memory Effects in Alloys, J. Perkins, ed., Plenum Press, New York, NY, 1975, pp. 147–75.

    Google Scholar 

  90. S. Miura, M. Ito, K. Endo, and N. Nakanishi:Proc. 1st JIM Int. Symp. on New Aspects of Mart. Transf., Suppl. Trans. JIM, 1976, pp. 221-26.

  91. W. Arneodo and M. Ahlers:Scripta Met., 1973, vol. 7, pp. 1287–93.

    CAS  Google Scholar 

  92. R. E. Busch, R.T. Luedeman, and P.M. Cross:U.S. Army Mater. Res. Rep., AD 629726, 1966; see Ref. 17.

    Google Scholar 

  93. M. Otsuka, H. Sakamoto, and K. Shimizu:Acta Met., 1979, vol. 27, pp. 585–601.

    CAS  Google Scholar 

  94. E. S. Machlin and S. Weinig:Acta Met., 1953, vol. 1, pp. 480–82.

    CAS  Google Scholar 

  95. R.V. Krishnan and L. C. Brown:Metall. Trans., 1973, vol. 4, pp. 423–29.

    CAS  Google Scholar 

  96. W. Arneodo and M. Ahlers:Acta Met., 1974, vol. 22, pp. 1475–80.

    CAS  Google Scholar 

  97. T. A. Schroeder and C. M. Wayman:Acta Met., 1979, vol. 27, pp. 405–17.

    CAS  Google Scholar 

  98. N. Nakanishi, T. Mori, S. Miura, Y. Murakami, and S. Kachi:Phil. Mag., 1973, vol. 28, pp. 277–92.

    CAS  Google Scholar 

  99. H. Sakamoto, M. Tanigawa, K. Otsuka, and K. Shimizu:Proc. Int. Conf. on Mart. Transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 633-38.

  100. K. Aizu:J. Phys. Soc. Japan, 1969, vol. 27, pp. 387–96.

    Article  CAS  Google Scholar 

  101. T. A. Schroeder and C. M. Wayman:Scripta Met., 1977, vol. 11, pp. 225–30.

    CAS  Google Scholar 

  102. S. Miura, S. Maeda, and N. Nakanishi:Phil. Mag., 1974, vol. 30, pp. 565–81.

    CAS  Google Scholar 

  103. R. Rapacioli, M. Chandrasekaran, M. Ahlers, and L. Delaey:Shape Memory Effects in Alloys, J. Perkins, ed., Plenum Press, New York, NY, 1975, pp. 385–88.

    Google Scholar 

  104. G. Barcelo, R. Rapacioli, and M. Ahlers:Scripta Met., 1978, vol. 12, pp. 1069–74.

    CAS  Google Scholar 

  105. M. Ahlers, G. Barcelo, and R. Rapacioli:Scripta Met., 1978, vol. 12, pp. 1075–78.

    CAS  Google Scholar 

  106. M. Ahlers and G. Barcelo:Int. Conf. on Mart. Transf., ICOMAT 1979, Cambridge, MA, 1979, pp. 649-54.

  107. H. K. Birnbaum and T. A. Read:Trans. TMS-AIME, 1960, vol. 218, pp. 662–69.

    CAS  Google Scholar 

  108. F. C. Frank:Symposium on the Plastic Defm. of Crystn. Solids, The Physical Society, London, 1950, pp. 150–51.

    Google Scholar 

  109. J. P. Hirthand R. W. Balluffi:Acta Met., 1973, vol. 21, pp. 929–42.

    CAS  Google Scholar 

  110. W. Bollmann:Crystal Defects and Crystalline Interfaces, Springer-Verlag, Berlin, 1970.

    Google Scholar 

  111. G. B. Olson and M. Cohen:Acta Met., 1979, vol. 27, pp. 1907–18.

    Google Scholar 

  112. B. A. Bilby:Rep. Conf. on Defects in Crystn. Solids, The Physical Society, London, 1955, pp. 124–33.

    Google Scholar 

  113. B. A. Bilby, R. Bullough, and E. Smith:Proc. Roy. Soc. A, 1955, vol. 231, pp. 263–73.

    CAS  Google Scholar 

  114. B.A. Bilby:Progr. Solid Mech., 1960, vol. 1, pp. 329–96.

    Google Scholar 

  115. A. Ye. Volkov, V. A. Likhachev, and L. S. Shikhobalov:Phys. Metals and Metallogr., 1979, vol. 47, (6), pp. 1127–40.

    Google Scholar 

  116. J. W. Christian:Proc. 1st JIM Int. Symp. on New Aspects of Mart. Transf., Suppl. Trans. JIM., 1976, pp. 21-33.

  117. M. J. Marcinkowski:Fundamental Aspects of Dislocation Theory, J. A. Simmons, R. de Wit, and R. Bullough, eds., NBS Special Publication 317, 1970, pp. 531-45.

  118. V. Vitek:Phil. Mag., 1968, vol. 18, pp. 773–86.

    CAS  Google Scholar 

  119. V. Vitek:Scripta Met., 1970, vol. 4, pp. 725–32.

    CAS  Google Scholar 

  120. P. D. Bristowe, A. G. Crocker, and M. J. Norgett:J. Phys. F., 1974, vol. 4, pp. 1859–64.

    CAS  Google Scholar 

  121. M. Yamaguchi and V. Vitek:Phil. Mag., 1976, vol. 34, pp. 1–11.

    CAS  Google Scholar 

  122. P.D. Bristowe and A.G. Crocker:Phil. Mag., 1975, vol. 31, pp. 503–17.

    CAS  Google Scholar 

  123. P.D. Bristowe and A.G. Crocker:Phil. Mag., 1976, vol. 33, pp. 357–62.

    CAS  Google Scholar 

  124. P. D. Bristowe and A. G. Crocker:Acta Met., 1977, vol. 25, pp. 1363–71.

    CAS  Google Scholar 

  125. R. C. Pond:Proc. Roy. Soc. A, 1977, vol. 357, pp. 471–83.

    CAS  Google Scholar 

  126. R. C. Pond and W. Bollmann:Phil. Trans. Roy. Soc, 1979, vol. 292, pp. 449–72.

    CAS  Google Scholar 

  127. A.W. Sleeswyk:Acta Met., 1962, vol. 10, pp. 803–12.

    CAS  Google Scholar 

  128. A.G. Crocker and G.A.A.M. Singleton: unpublished work, see Ref. 5.

  129. J. W. Brooks, M. H. Loretto, and R. E. Smallman:Acta Met., 1979, vol. 27, pp. 1839–47.

    CAS  Google Scholar 

  130. H. Hashimoto, Y. Yokota, Y. Takai, H. Endoh, and A. Kumao:Chemica Scripta, 1978-79, vol. 14, pp. 125–28.

    Google Scholar 

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The Institute of Metals Lecture was established in 1921, at which time the Institute of Metals Division was the only professional Division within the American Institute of Mining and Metallurgical Engineers. It has been given annually since 1922 by distinguished men from this country and abroad. Beginning in 1973 and thereafter, the person selected to deliver the lecture will be known as the “Institute of Metals Division Lecturer and R.F. Mehl Medalist” for that year.

Dr. Christian graduated in Physics from Oxford University in 1945 and obtained a D. Phil. in Metallurgy in 1949. At Oxford he was successively Pressed Steel Research Fellow (1951-55), Lecturer in Metallurgy (1955-58), and George Kelley Reader in Metallurgy (1958-67) before being appointed to his present position of Professor of Physical Metallurgy in 1967. He has been a Fellow of St. Edmund Hall, Oxford, since 1963. He was Republic Steel Distinguished Visiting Professor of Metallurgy at Case Institute of Technology in 1962-63 and has also held visiting professorships at Massachusetts Institute of Technology (1971) and at the universities of Illinois, Urbana (1959 and 1963), Pennsylvania (1970), Virginia (1972), and Stanford (1972), and visiting appointments at N. R. C, Ottawa (1956) and N. B. S., Washington, DC (1979).

Professor Christian was elected a Fellow of the Royal Society in 1975 and is also a Fellow of the Institute of Physics and the Institution of Metallurgists. He received the Rosenhain medal of the Institute of Metals in 1969 and was the third Hume-Rothery Memorial Lecturer in 1974. His main research interests are phase transformations, lattice defects, and plastic deformation. He is the author or co-author of two textbooks and about 140 papers and review articles.

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Christian, J.W. Deformation by moving interfaces. Metall Trans A 13, 509–538 (1982). https://doi.org/10.1007/BF02644415

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