Chapter 57 Collective behaviour of dislocations in plasticity

Dislocations in Solids

Volumn 11, Issue C, 2002, Pages 101-192

  Kubin, L P ^a   Fressengeas, C ^b   Ananthakrishna, G ^c  

^a CNRS   (France)

^b UNIVERSITÉ DE LORRAINE   (France)

^c INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43249124492     PISSN: 15724859     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1572-4859(02)80008-0     Document Type: Article

References (198)

1. Bergé P., Pomeau Y., and Vidal C. Order in Chaos (1984), John Wiley, New York
2. In: Walgraef D. (Ed). Patterns, Defects and Microstructures in Nonequilibrium Systems, NATO ASIE 121 (1987), Martinus Nijhoff Publishers, Dordrecht
3. In: Kubin L., and Martin G. (Eds). Non Linear Phenomena in Materials Science (1988), Trans Tech Publications, Aedermannsdorf
4. In: Walgraef D., and Ghoniem N.M. (Eds). Patterns, Defects and Materials Instabilities, NATO ASI E 183 (1990), Kluwer Acad. Publ, Dordrecht
5. In: Martin G., and Kubin L. (Eds). Non Linear Phenomena in Materials Science II (1992), Trans Tech Publications, Aedermannsdorf
6. In: Kirchner H., Kubin L., and Pontikis V. (Eds). Computer Simulation in Materials Science, NATO ASI E 308 (1996), Kluwer Acad. Publ., Dordrecht
7. Kubin L.P. In: Gonis A., Turchi P., and Kudrnovsky J. (Eds). Stability of Materials, NATO ASI Series B 355 (1996), Plenum Press, New York 99
8. Ch. 4. Kubin L.P. Materials Science and Technology. In: Cahn R.W., Haasen P., and Kramer E.J. (Eds) (1993), VCH, Weinheim 138
9. Ch. 4. Kubin L.P. In: Mughrabi H. (Ed). Plastic Deformation and Fracture of Materials 6 (1993), VCH, Weinheim 138
10. Mughrabi H. In: Haasen P., Gerold V., and Kostorz G. (Eds). Strength of Metals and Alloys (ICSMA 5) 3 (1979), Pergamon Press, Oxford 1615
11. Brown L.M. Dislocation Modelling of Physical Systems. In: Ashby M.F. (Ed) (1981), Pergamon Press, Oxford 51
12. Laird C. In: Nabarro F.R.N. (Ed). Dislocations in Solids 6 (1983), North-Holland, Amsterdam 55
13. Neumann P. In: Cahn R.W., and Haasen P. (Eds). Physical Metallurgy 2 (1983), Elsevier, Amsterdam 1553
14. Mughrabi H. In: McQueen H.J. (Ed). Strength of Metals and Alloys (ICSMA-CIRMA 7) 3 (1985), Pergamon Press, Oxford 1917
15. Basinski Z.S., and Basinski S.J. Prog. Mater. Sci. 36 (1992) 89
16. Holzwarth U., and Essmann U. Appl. Phys. A 58 (1994) 197
17. Winter A.T. Phil. Mag. 30 (1974) 719
18. Zhai T., Martin J.W., and Briggs G.A.D. Acta Mater. 44 (1996) 1729
19. Mughrabi H., Ackermann F., and Herz K. Fatigue Mechanisms, ASTM-STP 675. In: Fong J.T. (Ed) (1979), Am. Soc. for Testing Materials, Philadelphia 69
20. Kratochvil J. Rev. Phys. Appl. 23 (1988) 419
21. Franek A., Kalus R., and Kratochvil J. Phil. Mag. 64 (1991) 497
22. Essmann U., and Mughrabi H. Phil. Mag. A 40 (1979) 731
23. Vegge T., Rasmussen T., Leffers T., Pedersen O.B., and Jacobsen K.W. Phil. Mag. Lett. 81 (2001) 137
24. Tippelt B., Brettschneider J., and Hähner P. Phys. Stat. Sol. A 163 (1998) 11
25. Aslanides A., and Pontikis V. Phil. Mag. A 80 (2000) 2337
26. Essmann U. Phil. Mag. A 45 (1982) 171
27. Pedersen O.B. Phil. Mag. 73 (1996) 829
28. Differt K., and Essmann U. Mat. Sci. Eng. A 164 (1993) 295
29. Walgraef D., and Aifantis E.C. J. Appl. Phys. 58 (1985) 688
30. Kratochvil J., and Saxlova M. Scripta Metall. 26 (1992) 113
31. Differt K., and Essmann U. Mat. Sci. Eng. A 164 (1993) 295
32. Kosevich A.M. In: Nabarro F.R.N. (Ed). Dislocations in Solids 1 (1979), North-Holland, Amsterdam 33
33. Mura T. Micromechanics of Defects in Solids (1993), Kluwer Acad. Publ., Dordrecht 44
34. Kocks U.F. J. Eng. Mat. Technology 98 (1976) 76
35. Estrin Y., and Kubin L.P. Acta Metall. 34 (1986) 2455
36. Estrin Y. Dislocation-Density-Related Constitutive Modelling (1996), Academic Press, New York 69
37. Sahoo D., and Ananthakrishna G. J. Phys. D 15 (1982) 1439
38. Holt D.L. J. Appl. Phys. 41 (1970) 3197
39. Malygin G.A. Phys. Solid State 37 (1995) 1
40. Goryatchev S.B. Computer Simulations in Materials Science, NATO ASI Series E 308. In: Kirchner H.O.K., Kubin L.P., and Pontikis V. (Eds) (1996), Kluwer Acad. Publ., Dordrecht 17
41. Essmann U., and Differt K. Scripta Metall. 22 (1988) 1337
42. Essmann U., and Differt K. Mat. Sci. Eng. A 208 (1996) 56
43. Nicolis G., and Prigogine I. Self-Organisation in Nonequilibrium Systems (1977), Wiley, New York
44. Walgraef D., and Aifantis E.C. Int. J. Eng. Sci 23 (1985) 1351
45. Walgraef D., and Aifantis E.C. Int. J. Eng. Sci 23 (1985) 1359
46. Walgraef D., and Aifantis E.C. Int. J. Eng. Sci 23 (1985) 1364
47. Aifantis E.C. Mat. Sci. Eng. 81 (1986) 563
48. Walgraef D., Schiller C., and Aifantis E.C. Patterns, Defects and Microstructures in Nonequilibrium Systems, NATO ASI E121. In: Walgraef D. (Ed) (1987), Martinus Nilhoff Publ., Dordrecht 257
49. Aifantis E.C. Solid State Phenomena 3-4 (1988) 397
50. Schiller C., and Walgraef D. Acta Metall. 36 (1988) 563
51. Walgraef D., and Aifantis E.C. Res. Mechanica 23 (1988) 161
52. Walgraef D. Patterns, Defects and Materials Instabilities, NATO ASI E 183. In: Walgraef D., and Ghoniem N.M. (Eds) (1990), Kluwer Acad. Publ., Dordrecht 73
53. Aifantis E.C. Solid State Phenomena 23-24 (1992) 355
54. Prigogine I., and Lefever R. J. Chem. Phys. 48 (1968) 1695
55. Misbah C. Solid State Phenomena 3-4 (1988) 29
56. Walgraef D. Solid State Phenomena 3-4 (1988) 77
57. Kratochvil J. Solid State Phenomena 35-36 (1994) 71
58. Kratochvil J. Basic Mechanisms in Fatigue of Metals. In: Lukas P., and Polak J. (Eds) (1988), Academia, Prague 15
59. Kratochvil J., and Libovicky S. Scripta Metall. 20 (1986) 1625
60. Kratochvil J., and Saxlova M. Solid State Phenomena 23-24 (1992) 369
61. Kratochvil J., Saxlova M., and Sedlacek R. Key Engng. Mats. 97 (1994) 479
62. Hancock J.R., and Grosskreutz J.C. Acta Metall. 17 (1969) 77
63. Tippelt B., Bretschneider J., and Holste C. Phil. Mag. Lett. 74 (1996) 161
64. Sharp J.V., and Makin M.J. Phil. Mag. 10 (1964) 1011
65. in press. Kubin L.P., and Kratochvil J. Phil. Mag. A (1999)
66. Vladimirov V.l., and Pegel B. Phys. Stat. Sol. B 56 (1973) K105
67. Schiller C. Doctorate thesis (1988), University of Brussels
68. [65] B. Devincre and L.P. Kubin, in:Proc. ICSMA 11 (Prague, 1997)
69. Devincre B., and Kubin L.P. Mat. Sci. Engng. A 23-236 (1997) 8
70. Kubin L.P., and Devincre B. Deformation-Induced Microstructures: Analysis and Relation to Properties, Proc. 20th Risø Int. Symposium. In: Bilde-S0rensen J.B. (Ed) (1999), Risø National Laboratory, Roskilde,Denmark 61
71. [67] J. Kratochvil, M. Saxlova, B. Devincre and L.P. Kubin, in: Proc. ICSMA 11 (Prague, 1997)
72. Kratochvil J., Saxlova M., Devincre B., and Kubin L.P. Mat. Sci. Engng. A 234-236 (1997) 318
73. Salazar J.M., Fournet R., and Banai N. Acta Metall. Mater. 43 (1995) 1127
74. Bréchet Y. Doctorate thesis (1987), University of Grenoble
75. Kratochvil J., and Orlova A. Phil. Mag. 61 (1990) 281
76. Glazov M.V., and Laird C. Acta Metall. Mater. 43 (1995) 2849
77. Hähner P. Acta Mater. 44 (1996) 2345
78. Hähner P. Appl. Phys. A 63 (1996) 45
79. Crussard C. 6e Colloque de Métallurgie de l'INSTN (1962), Presses Universitaires de France, Paris l
80. Chihab K., Estrin Y., Kubin L.P., and Vergnol J. Scripta Metall. 21 (1987) 203
81. Hart E.W. Acta Metall. 3 (1955) 146
82. Chalmers Anniversary Volume. Kocks U.F. Prog. Mater. Sci. (1981), Pergamon Press, Oxford 185
83. Scripta Metall. Mater. 29 (1993) 1147
84. Estrin Y., and Kubin L.P. Continuum Models for Materials with Microstructure. In: Mülhaus H. (Ed) (1995), Wiley, Chichester 395
85. Zaiser M., and Hähner P. Phys. Stat. Sol. B 199 (1997) 267
86. Piobert A. Mem. de l'artillerie 5 (1842) 525
87. Lüders W. Dinglers Polytech. J. 155 (1860) 18
88. Balik J., Lukac P., and Kubin L.P. Scripta Mater. 42 (2000) 465
89. Jaoul B. Etude de la Plasticité et Application aux Métaux (1965), Dunod, Paris
90. Hall E.G. Proc. Phys. Soc. London B 64 (1951) 747
91. Cottrell A.H. Dislocations and Plastic Flow in Crystals (1953), University Press, Oxford
92. Hähner P., and Kubin L.P. Solid State Phenomena 23-24 (1992) 385
93. Luft A. Progress in Materials Science 35 (1991) 97
94. Neuhäuser H. In: Nabarro F.R.N. (Ed). Dislocations in Solids 6 (1983), North-Holland, Amsterdam 319
95. Neuhäuser H., and Hampel A. Scripta Metall. Mater. 29 (1993) 1151
96. Alexander H., and Haasen P. Solid State Physics 22 (1968) 22
97. Moulin A., Condat M., and Kubin L.P. Acta Mater. 47 (1999) 2879
98. Bréchet Y., Canova G., and Kubin L.P. Acta Mater. 44 (1996) 4261
99. Chatelier F.L. Rev. de Métallurgie 6 (1909) 914
100. Poitevin A., and Chatelier F.L. Trans. ASST 5 (1924) 457
101. McCormick P.G. Acta Metall. 20 (1972) 35
102. Beukel A.v.d. Phys. Stat. Sol. A 30 (1975) 197
103. Hähner P. Acta Mater. 45 (1997) 3695
104. Penning P. Acta Metall. 20 (1972) 1179
105. Kubin L.P., and Estrin Y. Acta Metall. 33 (1985) 397
106. Kubin L.P., Chihab K., and Estrin Y. Acta Metall. 36 (1988) 2707
107. Considère A. Annales des Ponts et Chaussées 9 (1885) 574
108. Hutchinson J.W., and Neale K.W. J. Mech. Phys. Solids 31 (1983) 405
109. Bridgman P.W. Studies in Large Plastic Flow and Fracture (1964), Harvard Univ. Press
110. Hähner P. Appl. Phys. A 58 (1994) 41
111. Fressengeas C., and Molinari A. Acta Metall. 33 (1985) 387
112. Estrin Y., Ling C.P., and McCormick P.G. Acta Metall. 39 (1991) 2943
113. Bréchet Y., and Louchet F. Solid State Phenomena 3-4 (1988) 347
114. Estrin Y. Solid State Phenomena 3-4 (1988) 417
115. Mülhaus H.B., and Aifantis E. Int. J. Solids Struct. 28 (1991) 845
116. Cosserat E., and Cosserat F. Théorie des Corps Déformables (1909), Hermann, Paris
117. Toupin R.A. Arch. Rat. Mech. 11 (1962) 385
118. Mindlin R.D., and Tiersten H.F. Arch. Rat. Mech. 11 (1962) 415
119. Fleck N.A., Muller G.M., Ashby M.F., and Hutchinson J.W. Acta Metall. Mater. 42 (1994) 475
120. Smyshlyaev V.P., and Fleck N.A. J. Mech. Phys. Solids 44 (1996) 465
121. Dai H., and Parks D.M. Proceedings of Plasticity '97. In: Khan A.S. (Ed) (1997), Neat Press, Fulton, MD 17
122. [118] S. Forest, F. Barbe and G. Cailletaud, Int. J. Solids Struct., in press.
123. Dee G., and Langer J.S. Phys. Rev. Lett. 50 (1983) 383
124. Aronson D.G., and Weinberger H.F. In: Goldstein J.A. (Ed). Partial Differential Equations and Related Topics, Lecture Notes in Math 446 (1975), Springer, Heidelberg
125. Sarloos W.V. Phys. Rev. A 39 (1989) 6367
126. Zbib H.M., and Aifantis E.C. Scripta Metall. 22 (1988) 1431
127. Hähner P. Mat. Sci. Engng. A 164 (1993) 23
128. Lebyodkin M., Bréchet Y., Estrin Y., and Kubin L.P. Acta Mater. 44 (1996) 453
129. Jeanclaude V., Fressengeas C., and Acad C.R. Sci. Paris II 316 (1993) 867
130. Jeanclaude V., Fressengeas C., and Acad C.R. Sci. Paris II 315 (1992) 7
131. Jeanclaude V., Fressengeas C., and Kubin L.P. Solid State Phenomena 23-24 (1992) 403
132. Liénard A. Rev. Gen. de l'électricit 23 (1928)
133. Lasalle J. Quart. Appl. Math. VII 1 (1949)
134. Karimi A. Doctorate thesis (1981), E.N.S. des Mines de Paris
135. McCormick P.G., Venkadesan S., and Ling C.P. Scripta Metall. Mater. 29 (1993) 1159
136. Bakir S. Doctorate thesis (1995), University of Metz
137. Thevenet D. Doctorate thesis (1999), University of Metz
138. Ziegenbein A., Achmus C., Plessing J., and Neuhäuser H. In: Ghoniem N. (Ed). Plastic and Fracture Instabilities in Materials, AMD- 200/MD (1995), ASME 101
139. Ziegenbein A., Achmus C., Plessing J., and Neuhäuser H. In: Ghoniem N. (Ed). Plastic and Fracture Instabilities in Materials, AMD- 57 (1995), ASME 101
140. Sylvestrowicz W., and Hall E.O. Proc. Phys. Soc. London B 64 (1951) 495
141. Lebyodkin M.A., Kravchenko V.Ya., and Bobrov V.S. Physica B 165-166 (1990) 267
142. Lebyodkin M.A., Kravchenko V.Ya., and Bobrov V.S. Mat. Sci. Eng. A 164 (1993) 252
143. Lebyodkin M.A., and Bobrov V.S. Solid State Phenomena 35-36 (1994) 411
144. James D.R., and Carpenter S.H. J. Appl. Phys. 42 (1971) 4685
145. Pascual R. Scripta Metall. 8 (1974) 1461
146. Hatano H. J. Appl. Phys. 47 (1976) 3873
147. Higgens P.F., and Carpenter S.H. Acta Metall. 26 (1978) 133
148. Heiple C.R., Carpenter S.H., and Carr M.J. Metal. Sci. 15 (1981) 587
149. Caceres C.H., and Bertorello H.R. Scripta Metall. 1 (1983) 1115
150. Caceres C.H., and Rodriguez A.M. Acta Metall. 35 (1987) 2581
151. Zeides F., and Roman I. Scripta Metall. 24 (1990) 1919
152. Chmelik F., Dosoudil J., PLessing J., Neuhäuser H., Lukac P., and Trojanova Z. Key Eng. Mats. 97-98 (1994) 263
153. Chmelik F., Trojanova Z., Prevorovsky Z., and Lukac P. J. Mat. Sci. Eng. A 164 (1993) 260
154. Miguel M.-C., Vespignani A., Zapperi S., Weiss J., and Grasso J.R. Nature 410 (2001) 667
155. Ananthakrishna G., and Valsakumar M.C. J. Phys. D 15 (1982) L171
156. Ananthakrishna G., and Sahoo D. J. Phys. D 14 (1981) 2081
157. Ananthakrishna G., and Valsakumar M.C. Phys. Lett. A 95 (1983) 69
158. Ananthakrishna G., and John T.M. Directions in Chaos. In: Bai-Lin H. (Ed) (1990), World Scientific, Singapore 133
159. Ananthakrishna G. Solid State Phenomena 23-24 (1992) 417
160. Ananthakrishna G. Scripta Metall. Mater. 29 (1993) 1183
161. Feigenbaum M.J. J. Stat. Phys. 19 (1978) 25
162. Ananthakrishna G., Fressengeas C., Grosbras M., Vergnol J., Engelke C., Plessing J., Neuhäuser H., Bouchaud E., Planès J., and Kubin L.P. Scripta Metall. Mater. 32 (1995) 1731
163. Quaouire L., and Fressengeas C. Solid State Phenomena 42-43 (1995) 293
164. Ananthakrishna G., and Noronha S.J. Solid State Phenomena 42-43 (1995) 293
165. Ananthakrishna G., Noronha S.J., Quaouire L., and Fressengeas C. Pramana J. Phys. 48 (1997) 705
166. Venkadesan S., Valsakumar M.C., Murthy K.P.N., and Rajasekar S. Phys. Rev. E 54 (1996) 611
167. Grassberger P., and Procaccia I. Physica D 9 (1983) 189
168. Noronha S.J., Ananthakrishna G., Quaouire L., Fressengeas C., and Kubin L.P. Int. J. Bifurcation and Chaos 7 (1997) 2577
169. Packard N., Crutchneld J.A., Farmer J.D., and Shaw R.S. Phys. Rev. Lett. 45 (1980) 712
170. Takens F. Dynamical Systems and Turbulence, Lecture Notes in Math. In: Rand D.A., and Young L.S. (Eds) (1981), Springer, Berlin
171. Ding M., Grebogi C., Ott E., Sauer T., and Yorke J.A. Phys. Rev. Lett. 70 (1993) 3872
172. Broomhead D.S., and King G.P. Physica D 20 (1986) 217
173. Albano A.M., Muench J., Schwartz C., Mees A., and Rapp P.E. Phys. Rev. A 38 (1988) 3017
174. Eckmann J.P., Kamphorst S.O., Ruelle D., and Ciliberto S. Phys. Rev. A 34 (1986) 4971
175. Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Physica D 16 (1985) 285
176. Sano M., and Sawada Y. Phys. Rev. Lett. 55 (1986) 1082
177. Zeng X., Eykholt R., and Pielke R.A. Phys. Rev. Lett. 66 (1991) 3229
178. Theiler J., Eubank S., Longtin A., Galdrikian B., and Farmer J.D. Physica D 58 (1992) 77
179. Kubin L.P., and Poirier J.P. Solid State Phenomena 3-4 (1988) 473
180. Part I. Bowden P.P., and Tabor D. The Friction and Lubrications of Solids (1950), Clarendon Press, Oxford
181. Bak P., and Tang C. J. Geophys. Res. 94 (1989) 15635
182. Maugis D. J. Mater. Sci. 20 (1985) 3041
183. Wu X.-L., Maloy K.J., Hansen A., Ammi M., and Bideau D. Phy. Rev. Lett. 71 (1993) 1363
184. Kubin L.P., and Estrin Y. J. Physique 47 (1986) 497
185. Ananthakrishna G., and Ramachandran H. In: Bardhan K.K., Chakrabarti B.K., and Hansen A. (Eds). Lecture Notes in Phys 437 (1994), Springer, Berlin 78
186. Lebyodkin M.A., Bréchet Y., Estrin Y., and Kubin L.P. Phys. Rev. Lett. 74 (1995) 4758
187. Lebyodkin M., Dunin-Barkowskii L., Bréchet Y., Estrin Y., and Kubin L.P. Acta Mater. 48 (2000) 2529
188. Burridge R., and Knopoff L. Bull. Seismol. Soc. Am. 57 (1967) 341
189. Carlson J.M., and Langer J.S. Phys. Rev. A 40 (1989) 6470
190. Rice J.R., and Geophys J. Res.-Solid Earth 98 B6 (1993) 9885
191. Gutenberg B., and Richter C.F. Ann. Geophys. 9 (1956) 1
192. Bak P., Tang C., and Wiesenfeld K. Phys. Rev. Lett. 59 (1987) 381
193. Bak P., Tang C., and Wiesenfeld K. Phys. Rev. A 38 (1988) 364
194. Ananthakrishna G., Noronha S.J., Fressengeas C., and Kubin L.P. Phys. Rev. E 60 (1999) 5455
195. Kertesz J., and Kiss L.B. J. Phys. A: Math. Gen. 23 (1990) L433
196. Chen K., Bak P., and Obukhov S.P. Phys. Rev. 43 (1991) 625
197. Barathi M.S., Lebyodkin M., Ananthakrishna G., Fressengeas C., and Kubin L.P. Phys. Rev. Lett. 87 (2001) 165508
198. Bharathi M.S., Lebyodkin M., Ananthakrishna G., Fressengeas C., and Kubin L.P. Acta Mat. 50 (2002) 2813