Micromechanics of Crystals and Polycrystals

Advances in Applied Mechanics

Volumn 23, Issue C, 1983, Pages 1-115

  Asaro, Robert J ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; MECHANICS; PLASTICITY;

MICROMECHANICS; POLYCRYSTALS;

CRYSTALS;

EID: 0020895305     PISSN: 00652156     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0065-2156(08)70242-4     Document Type: Article

References (99)

1. Asaro, R.J., Geometrical effects in the inhomogeneous deformation of ductile single crystals. Acta Metall. 27 (1979), 445–453.
2. Asaro, R.J., Barnett, D.M., Applications of the geometrical theorems for dislocations in anisotropic elastic media. Arsenault, R.J., Beeler, J.R. Jr., Simmons, J.A., (eds.) “Computer Simulation for Materials Applications”, 1976, NBS, Gaithersburg, Maryland.
3. Asaro, R.J., Rice, J.R., Strain localization in ductile single crystals:. J. Mech. Phys. Solids 25 (1977), 309–338.
4. Asaro, R.J., Hirth, J.P., Planar dislocation interactions in anisotropic media with applications to nodes. J. Phys. F 3 (1973), 1659–1671.
5. Asaro, R.J., Hirth, J.P., Barnett, D.M., Lothe, J., A further synthesis of sextic and integral theories for dislocations and line force s in anisotropic media. Phys. Status Solidi B 60 (1973), 261–271.
6. Ashby, M.F., The deformation of plastically non-homogeneous alloys. Kelly, A., Nicholson, R.B., (eds.) “Strengthening Methods in Crystals”, 1971, Halsted, New York.
7. Avery, D.H., Polan, N.W., Metall. Trans., 5, 1974, 1159.
8. Barendreght, J.A., Sharpe, W.N. Jr., The effect of biaxial loading on the critical resolved shear stress of zinc single crystals. J. Mech. Phys. Solids 21 (1973), 113–123.
9. Barnett, D.M., Asaro, R.J., The fracture mechanics of slit-like cracks in anistropic elastic media:. J. Mech. Phys. Solids 20 (1972), 353–366.
10. Barrett, C.S., “Structure of Metals.”, 1952, McGraw-Hill, New York.
11. Biot, M., “Mechanics of Incremental Deformation.”, 1965, Wiley, New York.
12. Bishop, J.F.W., A theory of the tensile and compressive textures of face-centered cubic metals. J. Mech. Phys. Solids 3 (1954), 130–142.
13. Bishop, J.F.W., Hill, R., A theoretical derivation of the plastic properties of a polycrystalline face-centered metal. Philos. Mag. 42 (1951), 414–427.
14. Boas, W., Ogilvie, G.J., The plastic deformation of a crystal in a polycrystalline aggregate. Acta Metall. 2 (1954), 655–659.
15. Bragg, W.H., Bragg, W.L., “The Crystalline State.”, 1933, Bell, London.
16. Brown, K., Role of deformation and shear banding in the stability of the rolling textures of aluminum and an Al-0.8% Mg alloy. J. Inst. Metals 100 (1972), 341–345.
17. Budiansky, B., Wu, T.Y., Theoretical prediction of plastic strains of polycrystals. Proc. 4th U. S. Nat. Congr. Appl. Mech., 1962, 1175.
18. Burgers, J.M., Proc. Kon. Ned. Akad. Wetenschap., 42, 1939, 293.
19. Byrne, J.G., Fine, M.E., Kelly, A., Precipitate hardening in an aluminum-copper alloy. Philos. Mag. 6 (1961), 1119–1145.
20. Cahn, R.W., Slip and polygonization in aluminum. J. Inst. Metals 79 (1951), 129–158.
21. Campbell, J.D., Eteiche, A.M., Tsao, M.C.C., Strength of metals and alloys at high strains and strain rates. Saffe, R.I., Wilcox, B.A., (eds.) “Fundamental Aspects of Structural Alloy Design”, 1977, Plenum, New York, 545–563.
22. Chang, Y.W., Asaro, R.J., An experimental study of shear localization in aluminum-copper single crystals. Acta Metall. 29 (1981), 241–257.
23. Chiem, C.Y., Duffy, J.D., Strain rate history effects and observations of dislocation substructure in aluminum single crystals following dynamic deformation., 1981, Brown Univ., Rhode Island Report MRL E-137, Providence.
24. Dillamore, I.L., Roberts, J.G., Bush, A.C., Occurrence of shear bands in heavily rolled cubic metals. J. Metal Sci. 13 (1979), 73–77.
25. Elam, C.F., Tensile tests on crystals. Part IV.—A copper alloy containing five per cent aluminum. Proc. R. Soc. London, Ser. A 115 (1927), 694–702.
26. Embury, J.D., Strengthening by dislocation substructures. Kelly, A., Nicholson, R.B., (eds.) “Strengthening Methods in Crystals”, 1971, Halsted, New York.
27. Eshelby, J.D., The force on an elastic singularity. Philos. Trans. R. Soc. A 244 (1951), 87–112.
28. Eshelby, J.D., The continuum theory of lattice defects. Seitz, F., Turnbull, D., (eds.) “Solid State Physics”, 3, 1956, Academic Press, New York., 79–144.
29. Eshelby, J.D., The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. London, Ser. A 241 (1958), 376–396.
30. Eshelby, J.D., Elastic inclusions and inhomogeneities. “Progress in Solid Mechanics”, II, 1961, North-Holland. Publ., Amsterdam.
31. Ewing, J.A., Rosenhain, W., Experiments in micro-metallurgy: effects of strain, preliminary notice. Proc. R. Soc. London 65 (1899), 85–90.
32. Ewing, J.A., Rosenhain, W., The crystalline structure of metals. Philos. Trans. R. Soc. London 193 (1900), 353–375.
33. Franciosi, P., Berveiller, M., Zaoui, A., Latent hardening in copper and aluminum single crystals. Acta Metall. 28 (1980), 273–283.
34. Frank, F.C., Read, W.T. Jr., Multiplication processes for slow moving dislocations. Phys. Rev. 79 (1950), 722–724.
35. Frenkel, J., Zur theorie der Elastizitätsgrenze und der Festigheit kristallinischer Körper. Z. Phys. 37 (1926), 572–609.
36. Hall, E.O., The deformation and ageing of mild steel: III discussion of results. Proc. Phys. Soc. London, Sec. B 64 (1951), 747–753.
37. Havner, K.S., Shalaby, A.H., A simple mathematical theory of finite distortional latent hardening in single crystals. Proc. R. Soc. London, Sec. A 358 (1977), 47–70.
38. Havner, K.S., Baker, G.S., Vause, R.F., Theoretical latent hardening in crystals: I. general equations for tension and compression with applications to F. C. C. crystals in tension. J. Mech. Phys. Solids, 1978, 27.
39. Hill, R., Acceleration waves in solids. J. Mech. Phys. Solids 10 (1962), 1–16.
40. Hill, R., A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 13 (1965), 213–222.
41. Hill, R., Generalized constitutive relations for incremental deformation of metals crystals by multislip. J. Mech. Phys. Solids 14 (1966), 95–102.
42. Hill, R., Havner, K., “Perspectives in the mechanics of elastoplastic crystals”. J. Mech. Phys. Solids., 1982 to appear.
43. Hill, R., Hutchinson, J.W., Bifurcation phenomena in the plane strain tension test. J. Mech. Phys. Solids 23 (1975), 239–264.
44. Hill, R., Rice, J.R., Constitutive analysis of elastic-plastic crystals at arbitrary strain. J. Mech. Phys. Solids 20 (1972), 401–413.
45. Hirth, J.P., Lothe, J., “Theory of Dislocations.”, 1968, McGraw-Hill, New York.
46. Honeycombe, R.W.K., Inhomogeneities in the plastic deformation of metal crystals: I—occurrence of x-ray asterisms; I—x-ray and optical micrography of aluminum. J. Inst. Metals 80 (1950), 45–56.
47. Hull, A.W., The positions of atoms in metals. Proc. Am. Inst. Elec. Eng. 38 (1919), 1171–1192.
48. Hutchinson, J.W., Elastic-plastic behavior of polycrystalline metals and composites. Proc. R. Soc. London, Sec. A 319 (1970), 247–272.
49. Hutchinson, J.W., Bounds and self—consistent estimates for creep of polycrystalline materials. Proc. R. Soc. London, Sec. A 348 (1976), 101–127.
50. Jackson, P.J., Basinski, Z.S., Latent hardening and the flow stress in copper single crystals. Can. J. Phys. 45 (1967), 707–735.
51. Joshi, N.R., Green, R.E. Jr., Continuous x-ray diffraction measurement of lattice rotation during tensile deformation of aluminum crystals. J. Mat. Sci. 15 (1980), 729–738.
52. Kelly, A., Nicholson, R.B., “Strengthening Methods in Crystals.”, 1971, Halsted, New York.
53. Klepaczko, J., The relation of thermally activated flow in BCC metals and ferritic steels to strain rate history and temperature history effects., 1981, Brown University Report DMR-79–23257/2, Providence, Rhode Island.
54. Kocks, U.F., The relation between polycrystal deformation and single-crystal deformation. Metall. Trans. 1 (1970), 1121–1142.
55. Kocks, U.F., Brown, T.J., Latent hardening in aluminum. Acta Metall. 14 (1966), 87–98.
56. Kocks, U.F., Chandra, H., Slip geometry in partially constrained deformation. Acta Metall. 30 (1982), 695–708.
57. Koehler, J.S., The nature of work-hardening. Phys. Rev. 86 (1952), 52–59.
58. Krausz, A.S., Eyring, H.E., “Deformation Kinetics.”, 1975, Wiley, New York.
59. Kroner, E., Zur Plastischen Verformung des Vielkristalls. Acta Metall., 9, 1961, 155.
60. Kuhlman-Wilsdorf, D., Recent progress in understanding of pure metal and alloy hardening. Thompson, A.W., (eds.) “Work Hardening in Tension and Fatigue”, 1977, AIME, New York.
61. Lisiecki, L.L., Nelson, D., Asaro, R.J., Lattice rotations, necking and localized deformation in F. C. C. single crystals. Scripta Met. (to appear), 1982.
62. Lomer, W.M., A dislocation reaction in the face-centered cubic lattice. Philos. Mag. 42 (1951), 1327–1331.
63. Love, A.E.H., “The Mathematical Theory of Elasticity.”, 1927, Cambridge Univ. Press, London and New York.
64. Mitchell, T.E., Dislocations and plasticity in single crystals of face-centered cubic metals and alloys. E. G. Sanford J. H. Fearon W. J. McGonnagle. “Progress in Applied Materials Research” 6 (1964), 119–237.
65. Mitchell, T.E., Thornton, P.R., The detection of secondary slip during the deformation of copper and α-brass single crystals. Philos. Mag. 10 (1964), 315–323.
66. Miura, S., Saeki, Y., Plastic deformation of aluminum bicrystals 100 oriented. Acta Metall. 26 (1978), 93–101.
67. Morii, K., Nakayama, Y., Shear bands in rolled copper single crystals. Trans. Japan Inst. Metals 22 (1981), 857–864.
68. Morrison, W.B., Trans. ASM, 59, 1966, 825.
69. Orowan, E., Zur Kristallplastizität. III. Über den Mechanismus des Gleituorganges. Z. Phys. 89 (1934), 634–659.
70. Orowan, E., A type of plastic deformation new in metals. Nature 149 (1942), 643–644.
71. Orowan, E., Dislocations in plasticity. Smisth, C.S., (eds.) “The Sorby Centennial Symposium on the History of Metallurgy”, 1963, Gordon and Breach, New York.
72. Pan, J., Rice, J.R., Unpublished research, 1981, Brown University, Providence, Rhode Island.
73. Peach, M., Koehler, J.S., The forces exerted on dislocations and the stress fields produced by them. Phys. Rev. 80 (1950), 436–439.
74. Peirce, D., Asaro, R.J., Needleman, A., An analysis of nonuniform and localized deformation in ductile single crystals. Acta Metall. (to appear)., 1982.
75. Petch, N.J., The cleavage strength of polycrystals. J. Iron Steel Inst. 174 (1953), 25–28.
76. Piercy, G.R., Cahn, R.W., Cottrell, A.H., A study of primary and conjugate slip in crystals of alpha-Brass. Acta Metall. 3 (1955), 331–338.
77. Polanyi Von, M., Röntgenographische Bestimmung von Kristallanordnungen. Naturwissenschaften 10 (1922), 411–416.
78. Polanyi Von, M., Über eine Art Gitterstorung, die einen Kristall plastisch machen konnte. Z. Phys. 89 (1934), 660–664.
79. Price, R.J., Kelly, A., Deformation of age-hardened aluminum alloy crystals—II. fracture”. Acta Metall. 12 (1964), 979–991.
80. Ramaswami, B., Kocks, U.F., Chalmers, B., Latent hardening in silver and an ag-au alloy. Trans. AIME 233 (1965), 927–931.
81. Reid, C.N., Gilbert, A., Hahn, G.T., Twinning slip and catastrophic flow in niobium. Acta Metall. 14 (1966), 975–983.
82. Rice, J.R., Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity. J. Mech. Phys. Solids 19 (1971), 443–455.
83. Rice, J.R., The localization of plastic deformation”. “Proceedings of 14th International Congress of Theoretical and Applied Mechanics”, I, 1977, North-Holland Publ., Amsterdam.
84. Saiomoto, S., Hasford, W.F. Jr., Backofen, W.A., Ductile fracture in copper single crystals. Philos. Mag. 12 (1965), 319–333.
85. Schmid, E., Proc, Int. Congr. Appl. Mech. (Delft), 1924, 342.
86. Sevillano, J.G., van Houtle, P., Aernoudt, E., Large strain work hardening and textures. Prog. Mat. Sci. 25 (1980), 69–411.
87. Sowerby, R., Dac Viuana, C.S., Davies, G.J., The influence of texture on the mechanical response of commercial purity copper sheet in some forming processes. Mat. Sci. Eng. 46 (1980), 23–51.
88. Spitzig, W.A., Sober, R.J., Richmond, O., Pressure dependence of yielding and associated volume expansion in tempered martensite. Acta Metall. 23 (1975), 885–893.
89. Swearengen, J.C., Taggart, R., Low amplitude cyclic deformation and crack nucleation in copper and copper-aluminum bicrystals. Acta Metall. 19 (1971), 543–559.
90. Taylor, G.I., The mechanism of plastic deformation of crystals. Part I.—theoretical. Proc. R. Soc. London, Sec. A 145 (1934), 362–387.
91. Taylor, G.I., Plastic strain in metals. J. Inst. Met. 62 (1938), 307–325.
92. Taylor, G.I., Analysis of plastic strain in a cubic crystal. Lessels, J.M., (eds.) “Stephen Timoshenko 60th Anniversary Volume”, 1938, Macmillan, New York.
93. Taylor, G.I., Elam, C.F., The distortion of an aluminum crystal during a tensile test. Proc. R. Soc. London, Sec. A 102 (1923), 643–667.
94. Taylor, G.I., Elam, C.F., The plastic extension and fracture of aluminum crystals. Proc. R. Soc. London, Sec. A 108 (1925), 28–51.
95. Thompson, A.W., Polycrystal hardening. Thompson, A.W., (eds.) “Work Hardening in Tension and Fatigue”, 1975, AIME, New York.
96. Thompson, A.W., Baskes, M.I., The influence of grain size on the work hardening of face-centered-cubic polycrystals”. Philos. Mag. 28 (1973), 301–308.
97. Timpe, A., “Probleme der Spannungsverteilung in ebenen Systemen einfach gelost mit Hilfe der airyschen Funktion”., 1905, Göttingen Diss., Leipzig.
98. Volterra, V., Sur L’équilibre des corps élastiques multiplement convexes. Ann. Ec. Norm (Ser. 3) 24 (1907), 401–517.
99. Worthington, P.J., Smith, E., The formation of slip bands in polycrystalline 3% Silicon iron in the pre-yield microstrain region. Acta Metall. 12 (1966), 1277–1281.