Simulations of dislocation structure and response

Annual Review of Condensed Matter Physics

Volumn 5, Issue 1, 2014, Pages 375-407

  Lesar, Richard ^a  

^a Iowa State University of Science and Technology   (United States)

Author keywords

continuous dislocation theory; discrete dislocation dynamics; dislocation simulation; dislocations; phase field; strain hardening

Indexed keywords

COMPUTER SIMULATION; DISLOCATIONS (CRYSTALS); STRAIN HARDENING; STRESS-STRAIN CURVES;

DISCRETE DISLOCATION DYNAMICS; DISLOCATION PROPERTIES; DISLOCATION STRUCTURES; DISLOCATION SUBSTRUCTURES; DISLOCATION THEORY; MODELING AND SIMULATING; PHASE FIELDS; STRESS-STRAIN RESPONSE;

PLASTICITY;

EID: 84896322427     PISSN: 19475454     EISSN: 19475462     Source Type: Journal    
DOI: 10.1146/annurev-conmatphys-031113-133858     Document Type: Article

References (214)

1. Hirth JP, Lothe J. 1992. Theory of Dislocations. Malabar, FL: Kreiger Publ.
2. Bacon DJ. 1992. In Materials Science and Technology: A Comprehensive Treatment, Vol. 1, ed. V Gerold, pp. 411-82. Weinheim, Ger.: Wiley
3. Hull D, Bacon DJ. 2001. Introduction to Dislocations. Oxford, UK: Butterworth Heinemann. 4th ed.
4. Ashby MF. 1992. Mater. Sci. Technol. 8:102-11
5. Ungár T, Mughrabi H, Ronnpagel D, Wilkens M. 1984. Acta Metall. 32:333-42
6. Ungár T. 2001. Mater. Sci. Eng. A 309-10:14-22
7. Szekely F, Groma I, Lendvai J. 2002. Mater. Sci. Eng. A 324:179-82
8. Balogh L, Capolungo L, Tomé CN. 2012. Acta Mater. 60:1467-77
9. Mughrabi H. 1971. Philos. Mag. 23:869-95
10. Mughrabi H. 1971. Philos. Mag. 23:897-929
11. Keller C, Hug E, Retoux R, Feaugas X. 2010. Mech. Mater. 42:44-54
12. Wang Z, Ghoniem NM, McCabe RJ, LeSar R, Misra A. 2004. Acta Mater. 52:1535-42
13. Barnard JS, Eggeman AS, Sharp J, White TA, Midgley PA. 2010. Philos. Mag. 90:4711-30
14. Hata S, Miyazaki H, Miyazaki S, Mitsuhara M, Tanaka M, et al. 2011. Ultramicroscopy 111:1168-75
15. Kacher JP, Liu GS, Robertson IM. 2011. Scr. Mater. 64:677-80
16. Pokharel R, Lind J, Kanjarala AK, Li SF, Lebensohn RA, et al. 2014. Annu. Rev. Condens. Matter Phys. 5:317-46
17. Hofmann F, Keegan S, Korsunsky AM. 2012. Mater. Lett. 89:66-69
18. Kocks UF, Mecking H. 2003. Prog. Mater. Sci. 48:171-273
19. Sevillano JG. 1996. In Materials Science and Technology: Plastic Deformation and Fracture of Materials, Vol. 6, ed. H Mughrabi, pp.19-88. Weinheim, Ger.: Wiley
20. Cottrell AH. 1953. Dislocations and Plastic Flow in Crystals. Oxford: Oxford University Press
21. Cottrell AH. 2002. In Dislocations in Solids, ed. FRN Nabarro, MS Duesbery, pp. vii-xvii. Amsterdam: North-Holland
22. Kubin LP, Devincre B, Hoc T. 2009. J. Mater. Res. 100:1411-19
23. Langer JS, Bouchbinder E, Lookman T. 2010. Acta Mater. 58:3718-32
24. Laurson L, Rosti J, Koivisto J, Miksic A, Alava MJ. 2011. J. Stat. Mech. 2011:P07002
25. Tsekenis G, Goldenfeld N, Dahmen KA. 2011. Phys. Rev. Lett. 106:105501
26. Groma I, Ispánnuity PD. 2012. Phys. Rev. Lett. 108:269601
27. Volterra V. 1907. Ann. Sci. de lÉcole Norm. Supér. Paris 24:401-517
28. Taylor GI. 1934. Proc. R. Soc. Lond. A 145:362-87
29. Orowan E. 1934. Z. Phys. 89:634-59
30. Polanyi M. 1934. Z. Phys. 89:660-64
31. Burgers JM. 1939. Proc. K. Ned. Akad. Wetenschappen 42:293-325
32. Burgers JM. 1939. Proc. K. Ned. Akad. Wetenschappen 42:378-99
33. Weertman J, Weertman JR. 1992. Elementary Dislocation Theory. New York: Oxford University Press
34. Mura T. 1987. Micromechanics of Defects in Solids. Boston, MA: Martinus Nijhoff
35. Püschl W. 2002. Prog. Mater. Sci. 47:415-61
36. Peach M, Koehler JS. 1950. Phys. Rev. 80:436-39
37. Arfken GB, Weber HJ, Harris FE. 2013. Mathematical Methods for Physicists. Amsterdam: Acad. Press. 7th ed.
38. Balluffi RW. 2012. Introduction to Elasticity Theory for Crystal Defects. Cambridge, UK: Cambridge Univ. Press
39. de Wit R. 1960. Solid State Phys. 10:249-92
40. LeSar R. 2004. Phys. Status Solidi (b) 241:2875-80
41. Lothe J, Hirth JP. 2005. Phys. Status Solidi (b) 242:836-41
42. Wang ZQ, Beyerlein IJ, LeSar R. 2007. Philos. Mag. 87:2263-79
43. Hirth JP, Zbib HM, Lothe J. 1998. Model. Simul. Mater. Sci. Eng. 6:165-69
44. Nye JF. 1953. Acta Metall. 1:153-62
45. Kröner E. 1958. Ergeb. Angew. Math. Vol. 5. English Translation: Continuum Theory of Dislocations and Self-Stresses, Transl. I Raasch, CS Hartley, 1970. Arlington, VA: US Off. Nav. Res.
46. Kosevich AM. 1979. In Dislocations in Solids, ed. FRN Nabarro, pp. 1-141. New York: North-Holland
47. Rickman JM, Vinals J. 1997. Philos. Mag. A 75:1251-62
48. Limkumnerd S. 2007. Mesoscale theory of grains and cells: polycrystals and plasticity. PhD thesis, Cornell Univ., Ithaca, NY
49. Lazar M, Maugin GA, Aifantis EC. 2010. Int. J. Solids Struct. 47:738-45
50. Nelson DR, Toner J. 1981. Phys. Rev. B 24:363-87
51. Rickman JM, LeSar R. 2001. Phys. Rev. B 64:094106
52. Hunter A, Kavuri H, Koslowski M. 2010. Model. Simul. Mater. Sci. Eng. 18:045012
53. Koslowski M, Lee DW, Lei L. 2011. J. Mech. Phys. Solids 59:1427-36
54. Koslowski M, Cuitino A, Ortiz M. 2002. J. Mech. Phys. Solids 50:2597-635
55. Wang YU, Jin YM, Cuitino AM, Khachaturyan AG. 2001. Acta Mater. 49:1847-57
56. Wang YU, Jin YM, Cuitino AM, Khachaturyan AG. 2001. Appl. Phys. Lett. 78:2324-26
57. Wang YU, Jin YM, Cuitino AM, Khachaturyan AG. 2001. Philos. Mag. Lett. 81:385-93
58. Swaminarayan S, LeSar R, Lomdahl PS, Beazley D. 1998. J. Mater. Res. 13:3478-84
59. Read WT. 1953. Dislocations in Crystals. New York: McGraw Hill
60. Weertman J, Weertman JR. 1983. In Physical Metallurgy, Vol. 2, ed.RWCahn, P Haasen, pp 1309-40. Amsterdam: North-Holland
61. Seeger A. 1957. In Dislocations and Mechanical Properties of Crystals, ed. JC Fisher, WG Johnson, R Thomson, T Vreeland, pp. 243-329. New York: Wiley
62. Argon AS. 2002. Scr. Metall. 47:683-87
63. Ashby MF. 1970. Philos. Mag. 21:399
64. Kubin LP. 1996. In Materials Science and Technology: Plastic Deformation and Fracture of Materials, Vol. 6, ed. H Mughrabi, pp. 19-88. Weinheim, Ger.: Wiley
65. Landon CD, Adams BL, Kacher J. 2008. J. Eng. Mater. Technol. 130:021004
66. Amodeo RJ, Ghoniem NM. 1988. Int. J. Eng. Sci. 26:653-62
67. Gulluoglu AN, Srolovitz DJ, LeSar R, Lomdahl PS. 1989. Scr. Metall. 23:1347-52
68. Amodeo RJ, Ghoniem NM. 1990. Phys. Rev. B 41:6968-76
69. von Blanckenhagen B, Gumbsch P, Arzt E. 2001. Model. Simul. Mater. Sci. Eng. 9:157-69
70. Kubin LP, Canova G. 1992. Scr. Metall. Mater. 27:957-62
71. Zbib HM, de la Rubia TD, Rhee M, Hirth JP. 2000. J. Nucl. Mater. 276:154-65
72. Ghoniem N, Tong S, Sun L. 2000. Phys. Rev. B 61:913-27
73. Schwarz KW. 1999. J. Appl. Phys. 85:108-19
74. Bulatov VV, Tang MJ, Zbib HM. 2001. MRS Bull. 26:191-95
75. Bulatov VV, Hsiung LL, Tang M, Arsenlis A, Bartelt MC, et al. 2006. Nature 440:1174-78
76. Kubin L. 2013. Dislocations, Mesoscale Simulations, and Plastic Flow. Oxford: Oxford Univ. Press
77. Jin YM, Khachaturyan AG. 2001. Philos. Mag. Lett. 81:607-16
78. Wang YU, Jin YM, Khachaturyan G. 2005. In Handbook of Materials Modeling, ed. S Yip, pp. 2287-305. Dordrecht: Springer
79. Wang Y, Li J. 2010. Acta Mater. 58:1212-35
80. Ginzburg VL, Landau LD. 1950 (1965). Zhurnal Eksp. Teor. Fiz. 20:1064. Transl. L. D. Landau, Collected Papers, p. 546. Oxford: Pergamon
81. Foreman AJE, Makin MJ. 1966. Philos. Mag. 14:911
82. Foreman AJE, Makin MJ. 1967. Can. J. Phys. 45:511
83. Lépinoux J, Kubin LP. 1987. Scr. Metall. 21:833-38
84. Hansen JP. 1986. In Molecular-Dynamics Simulations of Statistical-Mechanical Systems, ed. G. Ciccotti, WG Hoover, pp. 89-128. Amsterdam: North-Holland
85. Barts DB, Carlsson AE. 1995. Phys. Rev. E 52:3195-204
86. Wang HY, LeSar R. 1995. Philos. Mag. A 71:149-64
87. van der Giessen E, Needleman A. 2002. Annu. Rev. Mater. Res. 32:141-62
88. van der Giessen E, Needleman A. 1995. Model. Simul. Mater. Sci. Eng. 3:689-735
89. Needleman A. 2000. Acta Mater. 48:105-24
90. Needleman A, van der Giessen E. 2001. Mater. Sci. Eng. A 309-310:1-13
91. Roos A, de Hosson JTM, van der Giessen E. 2001. Comput. Mater. Sci. 20:1-18
92. Roos A, de Hosson JTM, van der Giessen E. 2001. Comput. Mater. Sci. 20:19-27
93. van der Giessen E, Needleman A. 2003. Scr. Mater. 48:127-32
94. Argaman N, Levy O, Makov G. 2001. Mater. Sci. Eng. A 309-310:386-92
95. Laurson L, Miguel MC, Alava MJ. 2010. Phys. Rev. Lett. 105:015501
96. Laurson L, Alava MJ. 2012. Phys. Rev. Lett. 109:155504
97. Miguel MC, Laurson L, Alava MJ. 2008. Eur. Phys. J. B 64:443-50
98. Zacharapolous N, Srolovitz DJ, LeSar R. 1997. Acta Mater. 45:3745-63
99. Zacharapolous N, Srolovitz DJ, LeSar R. 2003. J. Mech. Phys. Solids 51:695-713
100. Bjerkén C, Melin S. 2009. Int. J. Solids Struct. 46:1196-204
101. Devincre B, Kubin LP. 1997. Mater. Sci. Eng. A 234-236:8-14
102. Wang Z, Ghoniem NM, Swaminarayan S, LeSar R. 2006. J. Comput. Phys. 219:608-21
103. Fivel MC. 2008. Comptes Rendus Phys. 9:427-36
104. Fivel M. 2008. In Multiscale Modeling of Heterogenous Materials: From Microstructure to Macro-Scale Properties, ed. O Cazacu. New York: Wiley
105. Verdier M, Fivel M, Groma I. 1998. Model. Simul. Mater. Sci. Eng. 6:755-70
106. Bonneville J, Escaig B. 1979. Acta Metall. 27:1477-86
107. Rao S, Parthasarathy TA, Woodward C. 1999. Philos. Mag. A 79:1167-92
108. Rao S, Dimiduk DM, Parthasarathy TA, El-Awady J, Woodward C, Uchic MD. 2011. Acta Mater. 59:7135-44
109. Bakó B, Groma I, Györgyi G, Zimányi G. 2006. Comput. Mater. Sci. 38:22-28
110. Mordehai D, Clouet E, Fivel M, Verdier M. 2008. Philos. Mag. 88:899-925
111. Gao Y, Zhuang Z, Liu ZL, You XC, Zhao XC, Zhang ZH. 2011. Int. J. Plast. 27:1055-71
112. El-Awady JA, Biner SB, Ghoniem NM. 2008. J. Mech. Phys. Solids 56:2019-35
113. El-Awady JA, Wen M, Ghoniem NM. 2009. J. Mech. Phys. Solids 57:32-50
114. Zhou CZ, Biner SB, LeSar R. 2010. Acta Mater. 58:1565-77
115. Zhou CZ, Beyerlein IJ, LeSar R. 2011. Acta Mater. 59:7673-82
116. Zhou CZ, Biner SB, LeSar R. 2010. Scr. Mater. 63:1096-99
117. Zhou CZ, LeSar R. 2012. Comput. Mater. Sci. 54:350-55
118. Zhou CZ, LeSar R. 2012. Int. J. Plast. 30-31:185-201
119. Déprés C, Robertson CF, Fivel MC. 2004. Philos. Mag. 84:2257-75
120. Déprés C, Robertson CF, Fivel MC. 2006. Philos. Mag. 86:79-97
121. Bulatov VV, Rhee M, Cai W. 2001. Materials Research Society Symposium 653:Z1.3.1-Z1.3.6
122. Madec R, Devincre B, Kubin L. 2004. Solid Mech. Appl. 115:35-44
123. Rhee M, Zbib HM, Hirth JP, Huang H, de la Rubia TD. 1998. Model. Simul. Mater. Sci. Eng. 6:467-92
124. Arsenlis A, Cai W, Tang M, Rhee M, Oppelstrup T, et al. 2007. Model. Simul. Mater. Sci. Eng. 15:554-95
125. Shehadeh MA. 2012. Philos. Mag. 92:1173-97
126. Capolungo L, Beyerlein IJ, Wang ZQ. 2010. Model. Simul. Mater. Sci. Eng. 18:085002
127. Monnet G, Devincre B, Kubin L. 2004. Acta Mater. 52:4317-28
128. Durinck J, Devincre B, Kubin L, Cordier P. 2007. Am. Mineral. 92:1346-57
129. Madec R, Veyssire P, Saada G. 2013. Philos. Mag. 93:222-34
130. Martnez E, Marian J, Arsenlis A, Victoria M, Perlado JM. 2008. J. Mech. Phys. Solids 56:869-95
131. Motz C, Weygand D, Senger J, Gumbsch P. 2009. Acta Mater. 57:1744-54
132. Devincre B, Kubin LP, Hoc T. 2006. Scr. Mater. 54:741-46
133. Rao SI, Dimiduk DM, Parthasarathy TA, Uchic MD, Tang M, Woodward C. 2008. Acta Mater. 56:3245-59
134. Senger J, Weygand D, Gumbsch P, Kraft O. 2008. Scr. Mater. 58:587-90
135. Tang H, Schwarz KW, Espinosa HD. 2007. Acta Mater. 55:1607-16
136. Weygand D, Poignant M, Gumbsch P, Kraft O. 2008. Mater. Sci. Eng. A 483:188-90
137. Tang H, Schwarz KW, Espinosa HD. 2008. Phys. Rev. Lett. 100:185503
138. Pant P, Schwarz KW, Baker SP. 2003. Acta Mater. 51:3243-58
139. von Blanckenhagen B, Gumbsch P, Arzt E. 2003. Philos. Mag. Lett. 83:1-8
140. von Blanckenhagen B, Arzt E, Gumbsch P. 2004. Acta Mater. 52:773-84
141. Espinosa HD, Panico M, Berbenni S, Schwarz KW. 2006. Int. J. Plast. 22:2091-117
142. Espinosa HD, Prorok BC, Peng B. 2004. J. Mech. Phys. Solids 52:667-89
143. Fertig RS III, Baker SP. 2010. Acta Mater. 58:5206-18
144. Parthasarathy TA, Rao SI, Dimiduk DM, Uchic MD, Trinkle DR. 2007. Scr. Mater. 56:313-16
145. Weinberger CR, Cai W. 2010. J. Mech. Phys. Solids 58:1011-25
146. Madec R, Devincre B, Kubin L. 2002. Scr. Mater. 47:689-95
147. Shehadeh MA, Zbib HM, Diaz de la Rubia T. 2005. Philos. Mag. 85:1667-85
148. Wang ZQ, Beyerlein IJ, LeSar R. 2009. Int. J. Plast. 25:26-48
149. Dmitrieva O, Svirina JV, Demir E, Raabe D. 2010. Model. Simul. Mater. Sci. Eng. 18:085011
150. Kröner E. 1970. In Inelastic Behavior of Solids, ed. MF Kanninen, WF Adler, AR Rosenfield, RI Jaffee, p. 137. New York: McGraw-Hill
151. El-Azab A. 2006. Scr. Mater. 54:723-27
152. Devincre B, Hoc T, Kubin L. 2008. Science 320:1745-48
153. Kubin LP, Devincre B, Hoc T. 2008. Mater. Sci. Eng. A 483-84:19-24
154. Helm D, Butz A, Raabe D, Gumbsch P. 2011. J. Miner. Met. Mater. Soc. 63(4):26-33
155. Takahashi A, Ghoniem NM. 2008. J. Mech. Phys. Solids 56:1534-53
156. Vattré A, Devincre B, Roos A. 2009. Intermetallics 17:988-94
157. Vattré A, Devincre B, Roos A. 2010. Acta Mater. 58:1938-51
158. Vattré A, Fedelich B. 2011. Mech. Mater. 43:930-51
159. Shin CS, Robertson CF, Fivel M. 2007. Philos. Mag. 87:3657-69
160. Déprés C, Fivel M, Tabourot L. 2008. Scr. Mater. 58:1086-89
161. Wang ZQ, Beyerlein IJ, LeSar R. 2007. Model. Simul. Mater. Sci. Eng. 15:675-90
162. Wang ZQ, Beyerlein IJ, LeSar R. 2008. Philos. Mag. 88:1321-43
163. Gurrutxaga-Lerma B, Balint DS, Dini D, Eakins DE, Sutton AP. 2013. Proc. R. Soc. A 469:20130141
164. Wang Y, Khachaturyan AG. 1997. Acta Mater. 45:759-73
165. Haataja M, Müller J, Rutenberg AD, Grant M. 2002. Phys. Rev. B 65:165414
166. Shen C, Wang Y. 2003. Acta Mater. 51:2595-610
167. Rodney D, Le Bouar Y, Finel A. 2003. Acta Mater. 51:17-30
168. Shen C, Wang Y. 2004. Acta Mater. 52:683-91
169. Hu SY, Li YL, Zheng YX, Chen LQ. 2004. Int. J. Plast. 20:403-25
170. Koslowski M, Thomson R, LeSar R. 2004. Phys. Rev. Lett. 93:265503
171. Koslowski M, Thomson R, LeSar R. 2004. Phys. Rev. Lett. 93:125502
172. Dimiduk DM, Woodward C, LeSar R, Uchic MD. 2006. Science 312:1188-90
173. Zaiser M. 2006. Adv. Phys. 55:185-245
174. Brown LM. 2012. Mater. Sci. Technol. 28:1209-32
175. Papanikolaou S, Dimiduk DM, Choi W, Sethna JP, Uchic MD, et al. 2012. Nature 490:517-21
176. Zhou N, Shen C, Mills MJ, Wang Y. 2007. Acta Mater. 55:5369-81
177. Vorontsov VA, Shen C, Wang Y, Dye D, Rae CMF. 2010. Acta Mater. 58:4110-19
178. Unocic RR, Zhou N, Kovarik L, Shen C, Wang Y, Mills MJ. 2011. Acta Mater. 59:7325-39
179. Cahn JW, Hilliard JE. 1958. J. Chem. Phys. 28:258-67
180. Allen SM, Cahn JW. 1979. Acta Metall. 27:1085-95
181. Shen C, Zhou N, Wang Y. 2008. Metall. Mater. Trans. A 39:1630-37
182. Boyne A, Shen C, Najafabadi R, Wang Y. 2013. J. Nucl. Mater. 438:209-17
183. Hunter A, Saied F, Le C, Koslowski M. 2011. Int. J. High Perform. Comput. Appl. 25:223-35
184. Hunter A, Beyerlein IJ, Germann TC, Koslowski M. 2011. Phys. Rev. B 84:144108
185. Hunter A, Zhang RF, Beyerlein IJ, Germann TC, Koslowski M. 2013. Model. Simul. Mater. Sci. Eng. 21:025015
186. Kröner E. 1981. In Physics of Defects, Les Houches SessionXXXV, eds. RBalian, M Kléman, JP Poirier, pp. 283-315. Amsterdam: North Holland
187. Kröner E. 2001. Int. J. Solids Struct. 38:1115-34
188. Bilby BA, Bullough R, Smith E. 1955. Proc. R. Soc. Lond. A 231:263-73
189. Acharya A. 2001. J. Mech. Phys. Solids 49:761-84
190. Roy A, Acharya A. 2005. J. Mech. Phys. Solids 53:143-70
191. Groma I, Csikor FF, Zaiser M. 2003. Acta Mater. 51:1271-81
192. Rickman JM, LeSar R. 2006. Scr. Mater. 54:735-39
193. Groma I, Balogh B. 1999. Acta Mater. 47:3647-54
194. Groma I, Bakó B. 2000. Phys. Rev. Lett. 84:1487-90
195. Bakó B, Hoffelner W. 2007. Phys. Rev. B 76:214108
196. Bakó B, Groma I. 1999. Model. Simul. Mater. Sci. Eng. 7:181-88
197. LeSar R, Rickman JM. 2004. Phys. Rev. B 69:172105
198. Zaiser M, Hochrainer T. 2006. Scr. Mater. 54:717-21
199. Hochrainer T, Zaiser M, Gumbsch P. 2007. Philos. Mag. 87:1261-82
200. Sandfeld S, Hochrainer T, Zaiser M, Gumbsch P. 2010. Philos. Mag. 90:3697-728
201. Sandfeld S, Hochrainer T, Zaiser M, Gumbsch P. 2011. J. Mater. Res. 26:623-32
202. Acharya A, Roy A, Sawant A. 2006. Scr. Mater. 54:705-10
203. Rickman JM, Vinals J, LeSar R. 2005. Philos. Mag. 85:917-29
204. de Groot SR, Mazur P. 1984. Non-Equilibrium Thermodynamics. New York: Dover
205. Landau LD, Lifshitz EM. 1986. Theory of Elasticity. New York: Pergamon Press
206. Limkumnerd S, Sethna JP. 2006. Phys. Rev. Lett. 96:095503
207. Limkumnerd S, Sethna JP. 2007. Phys. Rev. B 75:224121
208. Limkumnerd S, Sethna JP. 2008. J. Mech. Phys. Solids 56:1450-59
209. Chen YS, Choi W, Papanikolaou S, Bierbaum M, Sethna JP. 2013. Int. J. Plast. 46:94-129
210. Chen YS, Choi W, Papanikolaou S, Sethna JP. 2010. Phys. Rev. Lett. 105:105501
211. Bouchbinder E, Langer JS. 2009. Phys. Rev. E 80:031131
212. Bouchbinder E, Langer JS. 2009. Phys. Rev. E 80:031132
213. Bouchbinder E, Langer JS. 2009. Phys. Rev. E 80:031133
214. Fish J. 2006. J. Nanopart. Res. 8:577-94