The relation between polycrystal deformation and single-crystal deformation
Tóm tắt
A phenomenological description of crystallographic slip and pencil glide in single crystals is outlined, with emphasis on the behavior under prescribed strains. Theoretical relations are established between these single-crystal properties and the behavior of quasi-homogeneous, quasi-isotropic polycrystals deforming uniformly on a macroscopic scale, at subdiffusive temperatures. Experimental comparisons between single crystals and polycrystals are reviewed, considering flow stress, work hardening, temperature and strain rate effects, and various effects of grain size.
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L. A. Johnson, U. F. Kocks and B. Chalmers:Scripta Met., 1968, vol.2, pp.265–70. la. L. A. Johnson:Trans. TMS-AIME, 1969, vol. 245, pp. 275–82.
E. Schmid:Proc. Int’l. Cong. Appl. Mech. (Delft), 1924, p. 342.
F. A. McClintock and A. S. Argon:Mechanical Behavior of Materials, Addison-Wesley, 1966.
G. Y. Chin, R. N. Thurston and E. A. Nesbitt:Trans. TMS-AIME, 1966, vol.236, p. 69.
T. H. Lin:J. Franklin Inst, 1960, vol.270, pp. 291–300.
U. F. Kocks: Ph.D. thesis, 1959, Harvard Univ., Cambridge, Mass.
J. F. W. Bishop:Phil. Mag., 1953, vol.44, pp. 51–64.
A. V. Hershey:J. Appl. Mech., 1954, vol.21, pp. 241–49.
U. F. Kocks and T. J. Brown:Acta Met., 1966, vol.14, pp. 87–98.
U. F. Kocks:Acta Met., 1958, vol.6, pp. 85–94.
W. F. Hosford, Jr.:Trans. TMS-AIME, 1965, vol.233, pp. 329–33.
G. Y. Chin, E. A. Nesbitt and A. J. Williams:Acta Met., 1966, vol.14, pp. 467–76.
E. W. Kelley and W. F. Hosford, Jr.:Trans. TMS-AIME, 1968, vol.242, pp. 5–13, 654–60.
U. F. Kocks:Acta Met., 1960, vol.8, pp. 345–52.
G. I. Taylor:J. Inst. Met., 1938, vol.62, pp. 307–24;S. Timoshenko Anniversary Volume, pp. 218–24, Macmillan, 1938;Deformation and Flow of Solids, pp. 3–12, Springer, 1956.
G. Y. Chin, W. L. Mammel and M. T. Dolan:Trans. TMS-AIME, 1967, vol.239, pp. 1854–55.
W. F. Hosford, Jr.:Acta Met., 1966, vol.14, pp. 1085–94.
U. F. Kocks:Phil. Mag., 1964, vol.10, pp. 187–93.
H. R. Piehler:Met. Trans., 1970, vol. 1, in press.
W. E Hosford, Jr.: private communication, Univ. of Michigan, Ann Arbor, Mich.
U. F. Kocks:Trans. TMS-AIME, 1964, vol.230, pp. 1160–67.
B. Ramaswami, U. F. Kocks and B. Chalmers:Trans. TMS-AIME, 1965, vol.233, pp. 927–31.
O. Krisement, G. F. de Vries and F. Bell:Phys. Stat. Sol, 1964, vol.6, pp. 73–81.
Y. Nakada and A. S. Keh:Acta Met., 1966, vol.14, p. 961.
P. J. Jackson and Z. S. Basinski:Can. J. Phys., 1967, vol.45, pp. 707–35.
E. J. H. Wessels and P. J. Jackson:Acta Met., 1969, vol.17, pp. 241–8.
U. F. Kocks and D. G. Westlake:Trans. TMS-AIME, 1967, vol.239, pp. 1107–09.
E. Kröner:Z. Physik., 1958, vol.151, pp. 504–18.
E. Kröner:Acta Met., 1961, vol.9, pp. 155–61.
J. D. Eshelby:Proc. Roy. Soc., 1957, vol.A241, p. 376.
R.E. Hook, J. P. Hirth:Acta Met., 1967, vol.15, pp. 535–51, 1099–1110.
J. R. Willis:Quart. J. Mech. Appl. Math., 1964, vol.17, p. 157.
R. Hill:J. Mech. Phys. Sol., 1965, vol.13, pp. 89–101.
H. Payne, S. J. Czyzak, J. H. Greiner, and T. H. Lin:J. Mech. Phys. Sol., 1958, vol.6, pp. 314–20.
B. Budiansky and T. T. Wu: Proc. 4th Cong. Appl. Mech., 1962, p. 1175.
J. W. Hutchinson:J. Mech. Phys. Sol., 1964, vol.12, pp. 11–24.
W. Voigt:Wied. Ann., 1889, vol.38, p. 573.
A. Reuss:Z. Angew. Math. Mech., 1929, vol.9, p. 49.
R. Hill:Proc. Phys. Soc. London, 1952, vol.A65, p. 351.
D. C. Drucker, H. J. Greenberg, and W. Prager:J. Appl Mech., 1951, vol.18, pp. 371–78.
R. Hill:Phil. Mag., 1951, vol.42, pp. 868–75.
R. svon Mises:Z. Angew. Math. Mech., 1928, vol.8, pp. 161–85.
A. Kochendörfer:Plastische Eigenschaften, 1941, Springer.
G. Y. Chin and W. L. Mammel:Trans. TMS-AIME, 1969, vol.245, p. 1211.
J. F. W. Bishop and R. Hill:Phil. Mag, 1951, vol.42, pp. 414–27, 1298–1307.
R. Hill:J. Mech. Phys. Sol, 1967, vol.15, pp. 79–95.
F. R. N. Nabarro, Z. S. Basinski, and D. B. Holt:Adv. Phys., 1964, vol.13, p.193.
H. Tresca:Mem. Sav. Acad. Sci. Paris, 1872, vol.20, p. 281.
R. von Mises:Göttinger Nachr., Math-Phys., 1913, p. 582.
U. Dehlinger:Z. Metallic., 1943, vol.35, p. 182.
U. Dehlinger, J. Diehl, and J. Meissner:Z. Naturf, 1956, vol.1 la, pp. 37–41.
G. I. Taylor:Proc. Roy. Soc, 1934, vol.A145, p. 1.
M. Roš and A. Eichinger: Proc. 2nd Int’l. Cong. Appl. Mech., Zürich, 1926, p. 315; see also J. L. M. Morrison:Proc. Inst. Mech. Eng., 1942, vol. 144, p. 33.
R. Hill:Math. Theory of Plasticity, Clarendon Press, Oxford, 1950.
W. Sautter, A. Kochendörfer, and U. Dehlinger:Z. Metallk., 1953, vol.44, pp.442–553.
V. S. Lensky: in Plasticity, 2nd Symp. Nav. Struct. Mech., Brown Univ., E.H. Lee, ed., Pergamon Press, 1960.
G. I. Taylor: inDeformation and Flow of Solids, pp. 3–12, IUTAM Colloq. Madrid, 1955, Springer, 1956.
J. W. Hutchinson:J. Mech Phys. Sol., 1964, vol.12, pp. 25–33.
G. Y. Chin and W. L. Mammel:Trans. TMS-AIME, 1967, vol.239, pp. 1400–05.
U. E Kocks:Can. J. Phys., 1967, vol.45, p. 1134.
J. F. W. Bishop:J. Mech Phys. Sol., 1954, vol.3, pp. 130–42.
T. H. Lin and B. Lieb:J. Mech. Phys. Sol., 1962, vol.10, pp. 65–72.
See I. L. Dillamore and W. T. Roberts:Met. Rev., 1965, vol.10, pp. 271–380.
G. Y. Chin: inTextures in Research and Practice, J. Grewen and G. Wassermann, eds., pp. 51–80, Springer, 1969.
G. Sachs:Z. Verein Deut. Ing., 1928, vol.72, p. 734.
H. L. Cox and D. G. Sopwith:Proc. Phys. Soc. London, 1937, vol.49, p. 134.
A. Kochendörfer and M. Swanson:Arch. Eisenhüttenw., 1960, vol.31, pp.549–53.
Ch. Schwink:phys. stat. sol., 1965, vol.8, pp. 457–74.
Ch. Schwink and W. Vorbrugg:Z. Naturforsch, 1967, vol.22a, pp. 626–42.
U. F. Kocks: Diplom Thesis, Univ. of Göttingen, 1954.
G. Masing:Lehrbuch der Allgemeinen Metallkunde, p. 388, Springer, 1950.
G. Zankl:Z. Naturforsch., 1963, vol.18a, p. 795.
H. Wilsdorf and D. Kuhlmann-Wilsdorf:Z. Angew. Physik., 1952, vol.4, p.409.
U. Essmann, M. Rapp, and M. Wilkens:Acta Met., 1968, vol.16, pp. 1275–87.
U. F. Kocks, H. S. Chen, D. A. Rigney, and R. J. Schaefer: inWork Hardening, pp. 151–75, Gordon and Breach, 1968.
A. S. Keh:Phil. Mag., 1965, vol.12, p. 9.
E. Schmid and W. Boas: Plasticity of Crystals, p. Hughes, London, (original published in 1935).
J. Diehl:Z. Metallk., 1956, vol.47, pp. 331–43.
H. Knöll and E. Macherauch:Z. Metallk., 1964, vol.55, pp. 638–45.
S. Howe and C. Elbaum:Phil. Mag, 1961, vol.6, pp. 37–8.
F. P. Bullen and C. B. Rogers:Phil. Mag., 1964, vol.9, pp. 401–12.
F.P. Bullen, S. McK. Cousland:phys. stat. sol., 1968, vol.27, pp. 501–12.
P. Derner and E. Kappler:Z. Naturforsch., 1959, vol.14a, pp. 1080–81, 1082.
R. S. Davis, R. L. Fleischer, J. D. Livingston, and B. Chalmers:Trans. AIME, 1957, vol.209, pp. 136–40.
J. D. Livingston and B. Chalmers:Acta Met., 1957, vol.5, pp. 322–27.
R. L. Fleischer and B. Chalmers:Trans. Met. Soc. AIME. 1958, vol.212, pp.265–74.
J. J. Häuser and B. Chalmers:Acta Met., 1961, vol.9, pp. 802–18.
D. A. G. Bruggeman: Doctoral Dissertation, Utrecht, 1930.
F. Rhines:Met. Trans., 1970, vol.1, pp. 1105–20.
F. R. N. Nabarro: inSome Recent Developments in Rheology, p. 38, London, The British Rheologists’ Club, 1950.
J. C. M. Li:Trans. Met. Soc. AIME, 1963, vol.227, p. 239.
E. Macherauch:Z. Metallk., 1964, vol.55, pp. 60–82.
R. Armstrong, I. Codd, R. M. Douthwaite, and N. J. Petch:Phil. Mag., 1962, vol.7, pp. 45–58. (See also this issue.)
S. Mader:Z. Phys., 1957, vol.149, p. 73.
R. P. Carreker and W. R. Hibbard:Acta Met., 1953, vol.1, pp. 654–63.
R. P. Carreker and W. R. Hibbard:Trans. AIME, 1957, vol.209, p. 112.
R. P. Carreker and W. R. Hibbard:Trans. AIME, 1957, vol.209, p. 1157.
H. Conrad, S. Feuerstein, and L. Rice:Mat. Sci. Eng., 1967, vol.2, pp. 157–68.
U. E Kocks:Phil. Mag., 1966, vol.13, pp. 541–66.
D. McLean:Mechanical Properties of Metals, pp. 303–07, Wiley, 1962.
J. Washburn and E. R. Parker:Trans. AIME, 1952, vol.194, p. 1076.