Issues

 / 

2020

 / 

August

  

Reviews of topical problems


Nonequilibrium phase transformations in alloys under severe plastic deformation

  a,   a, b, §  a, b, c, *  d, e
a Mikheev Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, S Kovalevskoi str. 18, Ekaterinburg, 620108, Russian Federation
b Ural Federal University named after the First President of Russia B N Yeltsin, prosp. Mira 19, Ekaterinburg, 620002, Russian Federation
c Institute of Quantum Materials Science, Konstruktorov str. 5, off 449, Yekaterinburg, 620007, Russian Federation
d Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation
e National University of Science and Technology ‘MISIS’, Leninskii prosp. 4, Moscow, 119049, Russian Federation

Experimental results and theoretical concepts of anomalous phase transformations in alloys under severe plastic deformation (SPD) are reviewed. The unconventional phase and structural state of alloys that emerges as a result of SPD determines the unique combination of physical and chemical properties that is of interest for various applications in technology. The driving forces and possible mechanisms that implement the anomalous transformations as a function of SPD intensity, alloy composition, and temperature are discussed. We distinguish among these mechanisms two fundamental and qualitatively different ones that are due to: (i) direct 'mixing' of atoms in slip bands or (ii) accelerated diffusion on defects under locally alternating thermodynamic conditions and subsequent 'freezing' of the nonequilibrium state that is reached. Summarizing the experimental data and theoretical concepts regarding the change in microscopic transformation mechanisms as a function of temperature and/or intensity of treatment, we suggest a diagram of nonequilibrium stationary states attainable during the development of phase and structural instability under SPD. The proposed approach enables the prediction of the structural state of alloys and compounds by controlling thermodynamic and kinetic parameters of the system.

Fulltext pdf (1.2 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2019.10.038671
Keywords: severe plastic deformation, mechanical alloying, disordering, amorphization, grain boundary segregation, mechanical mixing
PACS: 61.50.Ks, 62.20.F−, 64.60.Cn, 64.70.K− (all)
DOI: 10.3367/UFNe.2019.10.038671
URL: https://ufn.ru/en/articles/2020/8/a/
000583209000001
2-s2.0-85096295890
2020PhyU...63..733R
Citation: Razumov I K, Yermakov A Y, Gornostyrev Yu N, Straumal B B "Nonequilibrium phase transformations in alloys under severe plastic deformation" Phys. Usp. 63 733–757 (2020)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 6th, May 2019, 9th, October 2019

Оригинал: Разумов И К, Ермаков А Е, Горностырев Ю Н, Страумал Б Б «Неравновесные фазовые превращения в сплавах при интенсивной пластической деформации» УФН 190 785–810 (2020); DOI: 10.3367/UFNr.2019.10.038671

References (340) ↓ Cited by (21) Similar articles (20)

  1. Valiev R Nat. Mater. 3 511 (2004)
  2. Valiev R Z, Islamgaliev R K, Alexandrov I V Prog. Mater. Sci. 45 103 (2000)
  3. Valiev R Z, Aleksandrov I V Nanostrukturnye Materialy, Poluchennye Intensivnoi Plasticheskoi Deformatsiei (M.: Logos, 2000)
  4. Sauvage X, Ivanisenko Y J. Mater. Sci. 42 1615 (2007)
  5. Ermakov A E Fiz. Met. Metalloved. 48 1180 (1979)
  6. Grokhovskaya L G FMM 64 141 (1987); Grokhovskaya L G et al Phys. Met. Metall. 64 127 (1987)
  7. Korznikov A V et al Nanostruct. Mater. 11 17 (1999)
  8. Ermakov A E Fiz. Met. Metalloved. 72 (11) 5 (1991); Yermakov A Ye Phys. Met. Metallogr. 72 (5) 1 (1991)
  9. Bakker H, Zhou G F, Yang H Prog. Mater. Sci. 39 159 (1995)
  10. Gialanella S et al Acta Mater. 46 3305 (1998)
  11. Ermakov A E, Yurchikov E E, Barinov V A Fiz. Met. Metalloved. 52 1184 (1981); Yermakov A Ye, Yurchikov Ye Ye, Barinov V A Phys. Met. Metallogr. 52 (6) 50 (1981)
  12. Ermakov A E, Barinov V A, Yurchikov E E Fiz. Met. Metalloved. 54 935 (1982)
  13. Suryanarayana C Prog. Mater. Sci. 46 1 (2001)
  14. Martin G, Bellon P Solid State Phys. 50 189 (1997)
  15. Koch C C et al Appl. Phys. Lett. 43 1017 (1983)
  16. Tat’yanin E V, Kurdyumov V G, Fedorov V B Fiz. Met. Metalloved. 62 (1) 133 (1986); Tatyanin Ye V, Kurdyumov V G, Fedorov V B Phys. Met. Metallogr. 62 (1) 118 (1986)
  17. Schwarz R B, Petrich R R, Saw C K J. Non-Cryst. Solids 76 281 (1985)
  18. Schwarz R B, Johnson W L Phys. Rev. Lett. 51 415 (1983)
  19. Bakker H, Loeff P I, Weeber A W Def. Diff. Forum 66-69 1169 (1989)
  20. Bridgman P W Proc. Am. Acad. Arts Sci. 71 387 (1937)
  21. Vereshchagin L F, Zubova E V, Burgina K P Dokl. Akad. Nauk SSSR 196 817 (1971)
  22. Neverov V V, Burov V N, Zhitnikov P P Izv. SO AN SSSR. Ser. Khim. Nauki 5 (12) 54 (1983)
  23. Benjamin J S Sci. Am. 234 (5) 40 (1976)
  24. Koch C C Materials Science And Technology: A Comprehensive Treatment (Eds R W Cahn, P Haasen, E J Kramer) Vol. 15 Processing Of Metals And Alloys (Ed. R W Cahn) (Weinheim: Wiley-VCH, 1991) p. 193
  25. Lü L, Lai M O Mechanical Alloying (Boston, MA: Kluwer Academic, 1998)
  26. Yavari A R, Desré P J, Benameur T Phys. Rev. Let. 68 2235 (1992)
  27. Bansal C et al J. Appl. Phys. 76 5961 (1994)
  28. Straumal B B et al J. Alloys Comp. 707 20 (2017)
  29. Wu F et al Acta Mater. 49 453 (2001)
  30. Wu F et al Acta Mater. 54 2605 (2006)
  31. Sagaradze V V, Shabashov V A Nanostruct. Mater. 9 681 (1997)
  32. Sagaradze V V, Shabashov V A Fiz. Met. Metalloved. 112 155 (2011); Sagaradze V V, Shabashov V A Phys. Met. Metallogr. 112 146 (2011)
  33. Shabashov V A Fiz. Met. Metalloved. 98 (6) 38 (2004); Shabashov V A et al Phys. Met. Metallogr. 98 580 (2004)
  34. Sagaradze V V et al J. Nucl. Mater. 295 265 (2001)
  35. Kimura Y et al ISIJ Int. 39 176 (1999)
  36. Gavrilyuk V G Raspredelenie Ugleroda v Stali (Kiev: Naukova dumka, 1987)
  37. Gavriljuk V G Mater. Sci. Eng. A 345 81 (2003)
  38. Shabashov V A Izv. RAN Ser. Fiz. 74 393 (2010); Shabashov V A et al Bull. Russ. Acad. Sci. Phys. 74 363 (2010)
  39. Shabashov V A Fiz. Met. Metalloved. 115 419 (2014); Shabashov V A et al Phys. Met. Metallogr. 115 392 (2014)
  40. Delcroix P et al Mater. Sci. Forum. 360-362 329 (2001)
  41. Korolev A V et al Fiz. Met. Metalloved. 79 (2) 43 (1995)
  42. Deryagin A I Fiz. Met. Metalloved. 106 301 (2008); Deryagin A I et al Phys. Met. Metallogr. 106 291 (2008)
  43. Straumal B B et al J. Mater. Sci. 47 360 (2012)
  44. Li Y J et al Acta Mater. 60 4005 (2012)
  45. Herbig M et al Phys. Rev. Lett. 112 126103 (2014)
  46. Takahashi J et al Acta Mater. 107 415 (2016)
  47. Sauvage X et al Adv. Eng. Mater. 14 968 (2012)
  48. Liddicoat P V et al Nat. Commun. 1 63 (2010)
  49. Sauvage X et al Adv. Eng. Mater. 17 1821 (2015)
  50. Popov A G Struktura i Svoistva Nanokristallicheskikh Materialov (Otv. red. G G Taluts, N I Noskova) (Ekaterinburg: UrO RAN, 1999) p. 245
  51. Burgio N et al Nuovo Cimento D 13 459 (1991)
  52. Rodríguez Torres C E, Sánches F H, Mendoza Zélis L A Phys. Rev. B 51 12142 (1995)
  53. Sherif El-Eskandarany M et al Appl. Phys. Lett. 70 1679 (1997)
  54. Tsurin V A, Barinov V A, Pupyshev S B Pis’ma ZhTF 21 (12) 20 (1995); Tsurin V A, Barinov V A, Pupyshev S B Tech. Phys. Lett. 21 449 (1995)
  55. Politis C Int. J. Mod. Phys. B 22 2905 (2008)
  56. Suryanarayana C, Inoue A Bulk Metallic Glasses (Boca Raton, FL: CRC Press, 2011)
  57. Descamps M, Willart J F Adv. Drug Deliv. Rev. 100 51 (2016)
  58. Bellon P, Averback R S Phys. Rev. Lett. 74 1819 (1995)
  59. Shtremel’ M A Metallovedenie Termicheskaya Obrabotka Metallov (8) 10 (2002); Shtremel’ M A Met. Sci. Heat Treat. 44 324 (2002)
  60. Lyubov B Ya , Shmakov V A Fiz. Met. Metalloved. 29 968 (1970)
  61. Lyubov B Ya Diffuzionnye Protsessy v Neodnorodnykh Tverdykh Sredakh (M.: Nauka, 1981)
  62. Teitel’ E I Fiz. Met. Metalloved. 113 1230 (2012); Teitel’ E I et al Phys. Met. Metallogr. 113 1162 (2012)
  63. Ermakov A E Fiz. Met. Metalloved. 88 (3) 5 (1999); Ermakov A E et al Phys. Met. Metallogr. 88 211 (1999)
  64. Rybin V V Bol’shie Plasticheskie Deformatsii i Razrushenie Metallov (M.: Metallurgiya, 1986)
  65. Glezer A M, Metlov M S Fiz. Tverd. Tela 52 1090 (2010); Glezer A M, Metlov L S Phys. Solid State 52 1162 (2010)
  66. Lejček P Grain Boundary Segregation In Metals (Springer Series in Materials Science) Vol. 136 (Berlin: Springer-Verlag, 2010)
  67. Sutton A P, Balluffi R W Interfaces In Crystalline Materials (Oxford: Clarendon Press, 1995)
  68. Skakov Yu A Metallovedenie Termicheskaya Obrabotka Metallov (7) 45 (2005); Skakov Yu A Met. Sci. Heat Treat. 47 296 (2005)
  69. Shtremel’ M A Metallovedenie Termicheskaya Obrabotka Metallov (4) 12 (2004); Shtremel’ M A Met. Sci. Heat Treat. 46 146 (2004)
  70. Korznikova E et al Ultrafine Grained Materials IV (Eds Y T Zhu et al) (Warrendale, PA: The Minerals, Metals and Materials Soc., TMS, 2006) p. 97
  71. Ungár T et al Mater. Sci. Eng. A 462 398 (2007)
  72. Dorofeev G A et al Mater. Sci. Forum 343-346 585 (2000)
  73. Kilmametov A R et al Mater. Sci. Eng. A 503 10 (2009)
  74. Lotkov A I Fizicheskaya Mezomekhanika 10 (3) 67 (2007); Lotkov A I et al Phys. Mesomech. 10 179 (2007)
  75. Straumal B B et al Mater. Lett. 145 63 (2015)
  76. Straumal B B et al Mater. Lett. 161 735 (2015)
  77. Borchers C et al Acta Mater. 97 207 (2015)
  78. Lee S, Horita Z Mater. Trans. 53 38 (2012)
  79. Edalati K et al Scr. Mater. 66 386 (2012)
  80. Cubero-Sesin J M, Horita Z Mater. Trans. 53 46 (2012)
  81. Mazilkin A A Fiz. Tverd. Tela 49 824 (2007); Mazilkin A A et al Phys. Solid State 49 868 (2007)
  82. Straumal B B et al J. Mater. Sci. 46 4243 (2011)
  83. Edalati K et al Mater. Trans. 57 533 (2016)
  84. Edalati K et al Mater. Sci. Eng. A 714 167 (2018)
  85. Straumal B B et al Int. J. Mater. Res. 106 657 (2015)
  86. Edalati K, Horita Z Acta Mater. 59 6831 (2011)
  87. Straumal B B et al Mater. Trans. 53 63 (2012)
  88. Edalati K et al Mater. Sci. Eng. A 559 506 (2013)
  89. Mazilkin A A et al Def. Diff. Forum 237-240 739 (2005)
  90. Mazilkin A A et al Def. Diff. Forum 249 155 (2006)
  91. Kulagin R et al Mater. Lett. 222 172 (2018)
  92. Kral P et al Mater. Sci. Eng. A 723 287 (2018)
  93. Sabbaghianrad S, Torbati-Sarraf S A, Langdon T G Mater. Sci. Eng. A 712 373 (2018)
  94. Tirsatine K et al J. Alloys Comp. 753 46 (2018)
  95. Alawadhi M Y et al J. Mater. Res. Technol. 6 369 (2017)
  96. Azabou M et al Int. J. Adv. Manuf. Technol. 87 981 (2016)
  97. Mazilkin A A et al Acta Mater. 54 3933 (2006)
  98. Straumal B B et al Mater. Lett. 118 111 (2014)
  99. Huang Y et al Mater. Sci. Eng. A 656 55 (2016)
  100. Lugo N et al Mater. Sci. Eng. A 477 366 (2008)
  101. Čžek J et al Acta Mater. 59 2322 (2011)
  102. Liao X Z et al J. Appl. Phys. 96 636 (2004)
  103. Shamsborhan M, Ebrahimi M J. Alloys Comp. 682 552 (2016)
  104. Tang C, Li H, Li S Trans. Nonferr. Met. Soc. China 26 1736 (2016)
  105. Mao Z N et al Mater. Sci. Eng. A 674 186 (2016)
  106. Bagherpour E et al Mater. Sci. Eng. A 674 221 (2016)
  107. Bagherpour E et al Mater. Sci. Eng. A 666 324 (2016)
  108. Yadav P C et al J. Mater. Eng. Perform. 25 2604 (2016)
  109. Xu C, Horita Z, Langdon T G Mater. Sci. Eng. A 528 6059 (2011)
  110. Edalati K, Horita Z Mater. Sci. Eng. A 528 7514 (2011)
  111. Korznikov A V et al Nanostruct. Mater. 4 159 (1994)
  112. Ivanisenko Yu et al Acta Mater. 51 5555 (2003)
  113. Ivanisenko Yu et al Scripta Mater. 49 947 (2003)
  114. Zrnik J et al J. Mater. Sci. 45 4822 (2010)
  115. Bayramoglu S et al Mater. Sci. Eng. A 527 927 (2010)
  116. Ning J et al Mater. Sci. Eng. A 581 8 (2013)
  117. Todaka Y et al Mater. Sci. Forum 584-586 597 (2008)
  118. Liao X Z et al Appl. Phys. Lett. 88 021909 (2006)
  119. Pippan R et al Annu. Rev. Mater. Res. 40 319 (2010)
  120. Edalati K et al Acta Mater. 69 68 (2014)
  121. Tejedor R et al Mater. Sci. Eng. A 743 597 (2019)
  122. Mohamed I F et al Mater. Sci. Eng. A 704 112 (2017)
  123. Edalati K et al Int. J. Hydrog. Energy 41 8917 (2016)
  124. Isik M et al J. Mech. Behav. Biomed. Mater. 59 226 (2016)
  125. Isik M et al Mater. Trans. 57 1109 (2016)
  126. Hongo T et al Mater. Sci. Eng. A 618 1 (2014)
  127. Edalati K et al Mater. Trans. 53 123 (2012)
  128. Hanna A et al J. Alloys Comp. 778 61 (2019)
  129. Bourezg Y I et al Mater. Sci. Eng. A 724 477 (2018)
  130. Bazarnik P et al Mater. Sci. Eng. A 712 513 (2018)
  131. Cardona D M M et al J. Mater. Res. Technol. 6 355 (2017)
  132. Torbati-Sarraf S A et al J. Alloys Comp. 712 185 (2017)
  133. Koch C C, Langdon T G, Lavernia E J Metall. Mater. Trans. A 48 5181 (2017)
  134. Mazilkin A A et al Mater. Lett. 84 63 (2012)
  135. Straumal B B et al Acta Mater. 52 4469 (2004)
  136. Ito Y, Edalati K, Horita Z Mater. Sci. Eng. A 679 428 (2017)
  137. Johnson W L Prog. Mater. Sci. 30 81 (1986)
  138. Cahn R W Materials Science And Technology: A Comprehensive Treatment (Eds R W Cahn, P Haasen, E J Kramer) Vol. 9 Glasses And Amorphous Materials (Ed. J Zarzycki) (Weinheim: Wiley-VCH, 1991) p. 493
  139. Bouhki M, Bruson A, Guilmin P Solid State Commun. 79 389 (1991)
  140. de Boer F R et al Cohesion In Metals: Transition Metal Alloys (Cohesion and Structure) Vol. 1 (Amsterdam: North-Holland, 1988)
  141. Frenkel’ Ya I Vvedenie v Teoriyu Metallov (L.: Nauka, 1972)
  142. Glezer A M, Molotilov B V Fiz. Met. Metalloved. 69 (2) 5 (1990); Glezer A M, Molotilov B V Phys. Met. Metallogr. 69 (2) 1 (1990)
  143. Glezer A M Ros. Khim. Zhurn. 46 (5) 57 (2002)
  144. Gutkin M Yu, Ovid’ko I A Plastic Deformation In Nanocrystalline Materials (Berlin: Springer, 2004)
  145. Dobromyslov A V Materialovedenie (10) 43 (2001)
  146. Blank V D, Estrin E I Fazovye Prevrashcheniya v Tverdykh Telakh pri Vysokom Davlenii (M.: Fizmatlit, 2011); Per. na angl. yaz., Blank V D, Estrin E I Phase Transitions In Solids Under High Pressure (Boca Raton, FL: CRC Press, 2014)
  147. Morris R C J. Appl. Phys. 50 3250 (1979)
  148. Tat’yanin E V Fiz. Tverd. Tela 39 1237 (1997); Tat’yanin E V et al Phys. Solid State 39 1097 (1997)
  149. Martin G Phys. Rev. B 30 1424 (1984)
  150. Bellon P, Martin G Phys. Rev. B 39 2403 (1989)
  151. Straumal B B et al Mater. Trans. 53 63 (2012)
  152. Straumal B B et al High Temp. Mater. Process. 31 339 (2012)
  153. Pochet P et al Phys. Rev. B 52 4006 (1995)
  154. Prokoshkin S D et al Acta Mater. 53 2703 (2005)
  155. Razumov I K, Gornostyrev Yu N, Ermakov A E Fiz. Tverd. Tela 61 346 (2019); Razumov I K, Gornostyrev Yu N, Ermakov A E Phys. Solid State 61 214 (2019)
  156. Pavlov V A Fiz. Met. Metalloved. 67 924 (1989); Pavlov V A Phys. Met. Metallogr. 67 (5) 90 (1989)
  157. Popov A G Fiz. Met. Metalloved. 104 251 (2007); Popov A G et al Phys. Met. Metallogr. 104 238 (2007)
  158. Gaviko V S et al Fiz. Met. Metalloved. 92 (2) 58 (2001); Gaviko V S et al Phys. Met. Metallogr. 92 158 (2001)
  159. Metlov L S Phys. Rev. Lett. 106 165506 (2011)
  160. Gapontsev V L, Koloskov V M Metallovedenie Termicheskaya Obrabotka Metallov (11) 3 (2007); Gapontsev V L, Koloskov V M Met. Sci. Heat Treat. 49 503 (2007)
  161. Lam N Q, Okamoto P R, Jonson R A J. Nucl. Mater. 78 408 (1978)
  162. Wolfer W G J. Nucl. Mater. 114 292 (1983)
  163. Ovid’ko I A, Reizis A B Fiz. Tverd. Tela 45 1600 (2003); Ovid’ko I A, Reizis A B Phys. Solid State 45 1679 (2003)
  164. Ovid’ko I A, Sheinerman A G Appl. Phys. A 81 1083 (2005)
  165. Mazilkin A A et al J. Mater. Sci. 46 4336 (2011)
  166. Shingu P H (Ed.) "Mechanical alloying" Mater. Sci. Forum 88-90 (1992)
  167. Yelsukov E P, Dorofeev G A J. Mater. Sci. 39 5071 (2004)
  168. González G et al Mater. Sci. Forum 386-388 159 (2002)
  169. Uenishi K et al Z. Metallkund. 83 132 (1992)
  170. Wanderka N et al Ultramicroscopy 89 189 (2001)
  171. Cherdyntsev V V, Kaloshkin S D Fiz. Met. Metalloved. 109 529 (2010); Cherdyntsev V V, Kaloshkin S D Phys. Met. Metallogr. 109 492 (2010)
  172. Qi M, Zhu M, Yang D Z J. Mater. Sci. Lett. 13 966 (1994)
  173. Sauvage X, Wetscher F, Pareige P Acta Mater. 53 2127 (2005)
  174. Quelennec X et al Philos. Mag. 90 1179 (2010)
  175. Bachmaier A et al Acta Mater. 60 860 (2012)
  176. Dorofeev G A, Elsukov E P Fiz. Met. Metalloved. 103 626 (2007); Dorofeev G A, Elsukov E P Phys. Met. Metallogr. 103 593 (2007)
  177. Yelsukov E P et al Mater. Sci. Forum 269-272 151 (1998)
  178. Hightower A, Fultz B, Bowman R C (Jr.) J. Alloys Comp. 252 238 (1997)
  179. Elsukov E P Khimiya Interesakh Ustoichivogo Razvitiya 13 191 (2005)
  180. Uenishi K et al Mater. Sci. Eng. A 134 1342 (1991)
  181. Delogu F et al Philos. Mag. B 76 651 (1997)
  182. Pilyugin V P Izv. RAN Cer. Fiz. 78 1238 (2014); Pilyugin V P et al Bull. Russ. Acad. Sci. Phys. 78 988 (2014)
  183. Baricco M et al Philos. Mag. B 68 957 (1993)
  184. Gente C, Oehring M, Bormann R Phys. Rev. B 48 13244 (1993)
  185. Czubayko U et al Mater. Sci. Eng. A 327 54 (2002)
  186. Cherdyntsev V V Fiz. Met. Metalloved. 97 (4) 71 (2004); Cherdyntsev V V et al Phys. Met. Metall. 97 392 (2004)
  187. Hahn J D, Wu F, Bellon P Metall. Mater. Trans. A 35 1105 (2004)
  188. Veltl G, Scholz B, Kunze H-D Mater. Sci. Eng. A 134 1410 (1991)
  189. Kuyama J et al Jpn. J. Appl. Phys. 30 L854 (1991)
  190. Xu J et al J. Appl. Phys. 79 3935 (1996)
  191. Freundenberger J, Botcharova E, Schultz L J. Mater. Sci. 39 5343 (2004)
  192. Shabashov V A et al Mater. Sci. Eng. A 346 196 (2003)
  193. Languillaume J, Kapelski G, Baudelet B Acta Mater. 45 1201 (1997)
  194. Zhou L et al Acta Mater. 56 78 (2008)
  195. Sitdikov V D et al Rev. Adv. Mater. Sci. 47 59 (2016)
  196. Korneva A et al In 34 306 (2013)
  197. Straumal B B et al Mater. Lett. 98 217 (2013)
  198. von Bertalanffy L Science 111 23 (1950)
  199. Straumal B B Pis’ma ZhETF 100 418 (2014); Straumal B B et al JETP Lett. 100 376 (2014)
  200. Korneva A et al Mater. Lett. 179 12 (2016)
  201. Korneva A et al Mater. Charact. 118 411 (2016)
  202. Korneva A et al IOP Conf. Ser. Mater. Sci. Eng. 63 012093 (2014)
  203. Straumal B B et al Mater. Lett. 138 255 (2015)
  204. Korneva A et al Mater. Charact. 114 151 (2016)
  205. Straumal B B et al Acta Mater. 122 60 (2017)
  206. Korneva A et al Materials 12 447 (2019)
  207. Straumal B B et al Int. J. Mater. Res. 110 608 (2019)
  208. López G A et al Mater. Today Proc. 2 (Suppl. 3) S747 (2015)
  209. Straumal B B et al Acta Mater. 125 274 (2017)
  210. Gusev A A Sib. Khim. Zhurn. (2) 135 (1993)
  211. Tian H H, Atzmon M Mater. Sci. Forum 343-346 284 (2000)
  212. Ma E et al Mater. Sci. Eng. A 286 48 (2000)
  213. Odunuga S et al Phys. Rev. Lett. 95 045901 (2005)
  214. Razumov I K ZhFKh 84 1632 (2010); Razumov I K Russ. J. Phys. Chem. A 84 1485 (2010)
  215. Lifshits E M, Pitaevskii E M Fizicheskaya Kinetika (M.: Nauka, 1979); Per. na angl. yaz., Lifshitz E M, Pitaevskii L P Physical Kinetics (Oxford: Pergamon Press, 1981)
  216. Perez M et al Philos. Mag. 85 2197 (2005)
  217. Lund A C, Schuh C A Acta Mater. 52 2123 (2004)
  218. Gleiter H Acta Metall. 16 455 (1968)
  219. Gutkin M Yu, Ovid’ko I A Defekty i Mekhanizmy Plastichnosti v Nanostrukturnykh i Nekristallicheskikh Materialakh (SPb.: Yanus, 2001)
  220. Pozdnyakov V A, Glezer A M Fiz. Tverd. Tela 44 705 (2002); Pozdnyakov V A, Glezer A M Phys. Solid State 44 732 (2002)
  221. Voronova L M, Chashchukhina T I, Degtyarev M V Deformatsiya Razrushenie Materialov (7) 20 (2008)
  222. Voronova L M Deformatsiya Razrushenie Materialov (3) 9 (2011)
  223. Chashchukhina T I Fiz. Met. Metalloved. 111 315 (2011); Chashchukhina T I et al Phys. Met. Metallogr. 111 304 (2011)
  224. Skakov Yu A Mater. Sci. Forum 343-346 597 (2000)
  225. Skakov Yu A Metallovedenie Termicheskaya Obrabotka Metallov (4) 3 (2004); Skakov Yu A Met. Sci. Heat Treat. 46 137 (2004)
  226. Noskovich O I et al Acta Metall. Mater. 39 3091 (1991)
  227. Razumov I K Kondensirovannye Sredy Mezhfaznye Granitsy 12 394 (2010)
  228. Karkina L E et al Comput. Mater. Sci. 112 18 (2016)
  229. Cottrell A H, Jaswon M A Proc. R. Soc. Lond. A 199 104 (1949)
  230. Rakin V G, Buinov N N Fiz. Met. Metalloved. 11 (1) 59 (1961)
  231. Shabashov V A Metallofizika 12 (4) 107 (1990)
  232. McGrath J T, Bratina W J Acta Metall. 15 329 (1967)
  233. Chang L, Barnard S J, Smith G DW Fundamentals Of Aging And Tempering In Bainitic And Martensitic Steel Products. Gilbert R. Speich Symp. Proc., An Intern. Symp. At The 34th Mechanical Working And Steel Processing Conf., Montreal, Quebec, Canada, October 25 - 28, 1992 (Ed G Krauss, P E Repes) (Warrendale, PA: Iron and Steel Society, 1992) p. 19
  234. Jayaram R, Miller M K Scripta Metall. Mater. 33 19 (1995)
  235. Blavette D et al Science 286 2317 (1999)
  236. Kuzmina M et al Science 349 1080 (2015)
  237. Sagaradze V V Fiz. Met. Metalloved. 116 1056 (2015); Sagaradze V V et al Phys. Met. Metallogr. 116 1002 (2015)
  238. Sagaradze V V et al Philos. Mag. 96 1724 (2016)
  239. Doherty R D Metal Sci. 16 1 (1982)
  240. Octor H, Naka S Philos. Mag. Lett. 59 229 (1989)
  241. Naka S et al Scripta Metall. 23 501 (1989)
  242. Gupta S P Solid State Phase Transformation (New Delhi: Allied Publ. (P) Ltd, 2002)
  243. Sallez N et al J. Nucl. Mater. 472 118 (2016)
  244. Jiang J Z, Gente C, Bormann R Mater. Sci. Eng. A 242 268 (1998)
  245. Bouchaud E, Naka S, Octor H J. Phys. Colloq. 15 C1-451 (1990)
  246. Cahn J W Acta Metall. 10 789 (1962)
  247. Lücke K, Stüwe H P Acta Metall. 19 1087 (1971)
  248. Takeshita T J. Alloys Comp. 193 231 (1993)
  249. Yermakov A Ye Mater. Sci. Forum 179-181 455 (1995)
  250. Gong W, Hadjipanayis G C, Krause R F J. Appl. Phys. 75 6649 (1994)
  251. Barinov V A et al Phys. Status Solidi A 123 527 (1991)
  252. Abrosimova G E Fiz. Tverd. Tela 49 983 (2007); Abrosimova G E et al Phys. Solid State 49 1034 (2007)
  253. Prigogine I Introduction To Thermodynamics Of Irreversible Processes (Springfield, IL: Thomas, 1955); Per. na russk. yaz., Prigozhin I Vvedenie v Termodinamiku Neobratimykh Protsessov (M.-Izhevsk: RKhD, 2001)
  254. Nicolis G, Prigogine I Self-Organization In Nonequilibrium Systems : From Dissipative Structures To Order Through Fluctuations (New York: Wiley, 1977)
  255. Zhabotinskii A M Kontsentratsionnye Avtokolebaniya (M.: Nauka, 1974)
  256. Sherif El-Eskandarany M et al Acta Metall. 50 1113 (2002)
  257. Seah M P, Sanz J M, Hofmann S Thin Solid Films 81 239 (1981)
  258. Seah M P, Hondros E D Proc. R. Soc. Lond. A 335 191 (1973)
  259. McLean D Grain Boundaries In Metals (London: Oxford Univ. Press, 1957); Per. na russk. yaz., Mak Lin D Granitsy Zeren v Metallakh (M.: Metallurgizdat, 1960)
  260. Bokstein B, Balandina N (Eds) "Grain boundary diffusion and grain boundary segregation" Defect Diffus. Forum 156 (1998)
  261. Raabe D et al Acta Mater. 61 6132 (2013)
  262. Kirchheim R Acta Mater. 50 413 (2002)
  263. Chookajorn T, Murdoch H A, Schuh C A Science 337 951 (2012)
  264. Sauvage X et al Mater. Sci. Eng. A 540 1 (2012)
  265. Peng L et al Phys. Chem. Chem. Phys. 17 27940 (2015)
  266. Ringe E, Van Duyne R P, Marks L D Nano Lett. 11 3399 (2011)
  267. Yan Z et al Nano Lett. 18 2696 (2018)
  268. Fowler R H, Guggenheim E A Statistical Thermodynamics; A Version Of Statistical Mechanics For Students Of Physics And Chemistry (Cambridge: The Univ. Press, 1939)
  269. Ishida K J. Alloys Comp. 235 244 (1996)
  270. Slezov V V, Davydov L N, Rogozhkin V V Fiz. Tverd. Tela 37 3565 (1995); Slezov V V, Davydov L N, Rogozhkin V V Phys. Solid State 37 1964 (1995)
  271. Razumov I K ZhFKh 88 458 (2014); Razumov I K Russ. J. Phys. Chem. A 88 494 (2014)
  272. Razumov I K ZhFKh 92 1098 (2018); Razumov I K Russ. J. Phys. Chem. 92 1338 (2018)
  273. Guttmann M Surf. Sci. 53 213 (1975)
  274. Fel’dman E P, Yurchenko V M, Mel’nik T N Metallofizika Noveishie Tekhnologii 22 (1) 60 (2000)
  275. Zheng L, Xu T Metall. Mater. Trans. A 36 3311 (2005)
  276. Wang M Q, Wang K, Deng Q Mater. Sci. Technol. 25 1238 (2009)
  277. Weissmüller J Nanostruct. Mater. 3 261 (1993)
  278. Darling K A et al Scripta Mater. 59 530 (2008)
  279. Botcharova E, Freudenberger J, Schulz L Acta Mater. 54 3333 (2006)
  280. Millett P C, Selvam R P, Saxena A Acta Mater 55 2329 (2007)
  281. Cserháti Cs, Szabó I A, Beke D L J. Appl. Phys. 83 3021 (1998)
  282. Beke D L, Cserháti C, Szabó I A J. Appl. Phys. 95 4996 (2004)
  283. Trelewicz J R, Schuh C A Phys. Rev. B 79 094112 (2009)
  284. Cahn J W, Hilliard J E J. Chem. Phys. 28 258 (1958)
  285. Gouyet J-F et al Adv. Phys. 52 523 (2003)
  286. Gornostyrev Yu N, Razumov I K, Yermakov A Ye J. Mater. Sci. 39 5003 (2004)
  287. Razumov I K, Gornostyrev Yu N, Yermakov A Ye J. Alloys Compound 434-435 535 (2007)
  288. Razumov I K, Gornostyrev Yu N, Yermakov A Ye Rev. Adv. Mater. Sci. 18 767 (2008)
  289. Kar’kin I N Fiz. Tverd. Tela 59 (1) 103 (2017); Kar’kin I N et al Phys. Solid State 59 106 (2017)
  290. Löffler J, Weissmüller J Phys. Rev. B 52 7076 (1995)
  291. Frase H N et al Philos. Mag. B 80 1545 (2000)
  292. Straumal B B et al Mater. Lett. 159 432 (2015)
  293. Gleiter H Nanostruct. Mater. 6 3 (1995)
  294. Wunderlich W, Ishida Y, Maurer R Scripta Metall. Mater. 24 403 (1990)
  295. Valiev R Z, Islamgaliev R K Fiz. Met. Metalloved. 85 (3) 161 (1998); Valiev R Z, Islamgaliev R K Phys. Met. Metallogr. 85 367 (1998)
  296. Islamgaliev R K, Valiev R Z Fiz. Met. Metalloved. 87 (3) 46 (1999); Islamgaliev R K, Valiev R Z Phys. Met. Metallogr. 87 215 (1999)
  297. Straumal B B et al Acta Mater. 52 4469 (2004)
  298. Razumov I K Fiz. Met. Metalloved. 96 (4) 5 (2003); Razumov I K et al Phys. Met. Metallogr. 96 351 (2003)
  299. Gapontsev V L Fiz. Met. Metalloved. 99 (4) 26 (2005); Gapontsev V L et al Phys. Met. Metallogr. 99 365 (2005)
  300. Starikov S A Diagn. Resour. Mech. Mater. Struct. (6) 48 (2016)
  301. Bernshtein M L Stroenie Stali i Chuguna (M.: Intermet Inzhiniring, 2005)
  302. Yang C-W, Williams D B, Goldstein J I J. Phase Equilib. 17 522 (1996)
  303. Shah L H, Gerlich A, Zhou Y Int. J. Adv. Manufact. Technol. 94 2667 (2018)
  304. Fallah V et al Acta Mater. 82 457 (2015)
  305. Kuzmina M, Ponge D, Raabe D Acta Mater. 86 182 (2015)
  306. Mirzoev A A, Mirzaev D A, Yalolov M M Proc. of the World Congress on Engineering, WCE 2009, July 1 - 3, 2009, London, U.K. Vol. 1 (Eds S I Ao et al) (London: Newswood Ltd, 2009)
  307. Yermakov A Ye et al Mater. Sci. Forum 343-346 577 (2000)
  308. Nechaev Yu S Fiz. Met. Metalloved. 60 542 (1985); Nechaev Yu S et al Phys. Met. Metallogr. 60 (3) 116 (1985)
  309. Kinoshita C, Eguchi T Acta Metall. 20 45 (1972)
  310. Agullo-Lopez F, Catlow C R A, Townsend P D Point Defects In Materials (London: Academic Press, 1988)
  311. Shtremel’ M A Metallovedenie Termicheskaya Obrabotka Metallov (11) 18 (2007); Shtremel’ M A Met. Sci. Heat Treat. 49 517 (2007)
  312. Eckert J et al J. Appl. Phys. 73 2794 (1993)
  313. Popov V V, Sergeev A V Fiz. Met. Metalloved. 118 1149 (2017); Popov V V, Sergeev A V Phys. Met. Metallogr. 118 1091 (2017)
  314. Bekker H et al (Eds) Diffusion In Solids Metals And Alloys (Landolt-Börnstein New Series) Vol. III/26 (Berlin: Springer-Verlag, 1990)
  315. Butrymowicz D B, Manning J R, Read M E J. Phys. Chem. Ref. Data 2 643 (1973)
  316. Ribbe J, Schmitz G, Divinski S V Def. Diff. Forum. 289-292 211 (2009)
  317. Butrymowicz D B, Manning J R, Read M E J. Phys. Chem. Ref. Data 5 103 (1976)
  318. Herzig C, Divinski S V Mater. Trans. 44 14 (2003)
  319. Schafler E et al Mater. Sci. Eng. A 410-411 169 (2005)
  320. Hosford W F Physical Metallurgy (Boca Raton, FL: Taylor and Francis, 2005)
  321. Skakov Yu A Metallovedenie Termicheskaya Obrabotka Metallov (11) 15 (2007); Skakov Yu A Met. Sci. Heat Treat. 49 514 (2007)
  322. Indenbom V L Pis’ma ZhETF 12 526 (1970); Indenbom V L JETP Lett. 12 369 (1970)
  323. Indenbom V L, Orlov A N Fiz. Met. Metalloved. 43 469 (1977)
  324. Rozhanskii V N Deformatsionnoe Uprochnenie (Khar’kov: Izd-vo FTINT AN USSR, 1969)
  325. Gertsriken D S, Mazanko V F, Fal’chenko V M Metallofizika 5 (4) 74 (1983)
  326. Saralidze Z K, Galustashvili M V, Driaev D G Fiz. Tverd. Tela 48 1229 (2006); Saralidze Z K, Galustashvili M V, Driaev D G Phys. Solid State 48 1298 (2006)
  327. S<>urensen M R, Mishin Yu, Voter A F Phys. Rev. B 62 3658 (2000)
  328. Razumov I K, Gornostyrev Yu N, Ermakov A E Fiz. Met. Metalloved. 119 1195 (2018); Razumov I K, Gornostyrev Yu N, Ermakov A E Phys. Met. Metalogr. 119 1133 (2018)
  329. Rybin V V, Zolotorevskii N Yu, Zhukovskii I M Fiz. Met. Metalloved. 69 (1) 5 (1990); Rybin V V, Zolotorevskiy N Yu, Zhukovskiy I M Phys. Met. Metallogr. 69 (1) 1 (1990)
  330. Sarafanov G F, Perevezentsev V N Pis’ma ZhTF 33 (9) 87 (2007); Sarafanov G F, Perevezentsev V N Tech. Phys. Lett. 33 400 (2007)
  331. Shabashov V A Fiz. Met. Metalloved. 117 833 (2016); Shabashov V A et al Phys. Met. Metallogr. 117 805 (2016)
  332. Popov L E, Kozlov E V Mekhanicheskie Svoistva Uporyadochennykh Tverdykh Rastvorov (M.: Metallurgiya, 1970)
  333. Koch C C Rev. Adv. Mater. Sci. 5 (2) 91 (2003)
  334. Le Caër G, Begin-Colin S, Delcroix P Materials Research In Atomic Scale By Mössbauer Spectroscopy (NATO Science Ser., Ser. II) Vol. 94 (Eds M Mashlan, M Miglierini, P Schaaf) (Dordrecht: Springer, 2003) p. 11
  335. Volkov V A Fiz. Met. Metalloved. 117 186 (2016); Volkov V A et al Phys. Met. Metallogr. 117 178 (2016)
  336. Barinov V A Fiz. Met. Metalloved. 10 (4) 148 (1992); Barinov V A et al Phys. Met. Metallogr. 74 412 (1992)
  337. Tsurin V A, Barinov V A Pis’ma ZhTF 24 (14) 35 (1998); Tsurin V A, Barinov V A Tech. Phys. Lett. 24 556 (1998)
  338. Shangurov A V Fiz. Met. Metalloved. 61 884 (1986)
  339. Teitel’ E I Fiz. Met. Metalloved. (7) 95 (1990); Teytel Ye I et al Phys. Met. Metallogr. 70 (1) 88 (1990)
  340. Teitel’ E I Fiz. Met. Metalloved. (8) 83 (1990); Teytel’ Ye L et al Phys. Met. Metallogr. 70 (2) 74 (1990)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions