RSS feeds
РусскийEnglish
Issue 5, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1974

 / 

March

←  →

Reviews of topical problems


The theory of the formation of a heterophase structure in phase transformations in solids


A thermodynamic theory of heterophase structures is proposed, describing the relation of the volumes, shape, internal structure, and mutual disposition of the crystals that are formed in a phase transformation in the solid state. An important feature of solid heterophase systems is the presence of internal-stress fields arising as a consequence of the contact between the phases. The tendency to reduce the elastic energy of the internal stresses leads to the breakdown of the crystals composing the heterophase system into elastic domains and to the formation of ensembles of crystals arranged in an ordered manner. As a result of the competition between the elastic energy of the internal stresses and the interphase surface energy in a solid, metastable many-phase states arise, characterized by a regular spatial distribution of plate-like structural elements.

Fulltext pdf (1 MB)
Fulltext is also available at DOI: 10.1070/PU1974v017n03ABEH004134
PACS: 81.30.Kf, 65.40.Gr, 64.70.Kb, 62.20.Fe (all)
DOI: 10.1070/PU1974v017n03ABEH004134
URL: https://ufn.ru/en/articles/1974/3/c/
Citation: Roitburd A L "The theory of the formation of a heterophase structure in phase transformations in solids" Sov. Phys. Usp. 17 326–344 (1974)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Ройтбурд А Л «Теория формирования гетерофазной структуры при фазовых превращениях в твердом состоянии» УФН 113 69–104 (1974); DOI: 10.3367/UFNr.0113.197405c.0069

Cited by (132) ↓ Similar articles (20)

  1. Kulnitskiy B A, Blank V D et al Diamond And Related Materials 144 111015 (2024)
  2. He D, Li L et al Materials & Design 229 111900 (2023)
  3. Boulbitch A, Korzhenevskii A L Phys. Rev. E 103 (2) (2021)
  4. Vasilyeva N A, Rudneva E B et al Crystals 11 1550 (2021)
  5. Gainutdinov R V, Tolstikhina A L et al Crystallogr. Rep. 66 508 (2021)
  6. Gainutdinov R V, Selezneva E V et al Surfaces And Interfaces 23 100952 (2021)
  7. Boulbitch A, Korzhenevskii A L Phys. Rev. E 101 (3) (2020)
  8. Therrien F, Stevanović V Phys. Rev. Lett. 125 (12) (2020)
  9. Koughia C, Gunes O et al 38 (6) (2020)
  10. Voloshin A, Rudneva E et al Crystals 9 390 (2019)
  11. Ouyang Ju, Roytburd A L Nanostructures in Ferroelectric Films for Energy Applications (2019) p. 41
  12. Topolov V Yu Springer Series In Materials Science Vol. Heterogeneous Ferroelectric Solid SolutionsCrystallographic Aspects of Interfaces in Ferroelectrics and Related Materials151 Chapter 1 (2018) p. 1
  13. Kashchenko M P, Kashchenko N M, Chashchina V G Russ Phys J 61 1478 (2018)
  14. Boulbitch A, Korzhenevskii A L EPL 123 16003 (2018)
  15. Boulbitch A, Korzhenevskii A L Phys. Rev. B 96 (5) (2017)
  16. Roytburd A L, Ouyang Ju, Artemev A J. Phys.: Condens. Matter 29 163001 (2017)
  17. Basak A, Levitas V I Acta Materialia 139 174 (2017)
  18. Dong L, Zhou R H et al International Journal Of Solids And Structures 80 445 (2016)
  19. Boulbitch A, Korzhenevskii A L Eur. Phys. J. B 89 (12) (2016)
  20. Likhachev O A, Koval Yu M Usp. Fiz. Met. 16 1 (2015)
  21. Vasylkiv Yu, Skab I, Vlokh R J. Opt. Soc. Am. A 31 1936 (2014)
  22. Mollaev A Yu, Saipulaeva L A et al Inorg Mater 50 861 (2014)
  23. Topolov V Yu Springer Proceedings In Physics Vol. Advanced MaterialsRelations Between Domain States and Phase Contents in Perovskite-Type Ferroelectric Solid Solutions152 Chapter 8 (2014) p. 89
  24. Kamilov I K, Daunov M I et al Phys. Solid State 55 1242 (2013)
  25. Kamilov I K, Daunov M I, Bashirov R R High Pressure Research 33 98 (2013)
  26. Levitas V I, Roy A M, Preston D L Phys. Rev. B 88 (5) (2013)
  27. Tokiy N V, Varyukhin V N Bull. Russ. Acad. Sci. Phys. 76 13 (2012)
  28. Mollaev A Yu, Arslanov R K et al Inorg Mater 48 1070 (2012)
  29. Shevkunov S V Colloid J 74 589 (2012)
  30. Ilinskiy A V, Kvashenkina O E, Shadrin E B Semiconductors 46 1171 (2012)
  31. Ilinskiy A V, Kvashenkina O E, Shadrin E B Semiconductors 46 422 (2012)
  32. Topolov V Yu Springer Series In Materials Science Vol. Heterogeneous Ferroelectric Solid SolutionsCrystallographic Aspects of Interfaces in Ferroelectrics and Related Materials151 Chapter 1 (2012) p. 1
  33. Kameneva A L, Guselnikova L N, Soshina T O E-J. Surf. Sci. Nanotechnol. 9 34 (2011)
  34. Kashchenko M P, Chashchina V G Uspekhi Fizicheskikh Nauk 181 345 (2011)
  35. Shadrin E B, Il’inskiĭ A V et al Phys. Solid State 52 2426 (2010)
  36. Kashchenko M P, Chashchina V G, Vikharev S V Phys. Metals Metallogr. 110 200 (2010)
  37. Shakhnazarov T A, Kamilov I K et al Tech. Phys. 55 946 (2010)
  38. Fleck M, Brener E A et al 101 462 (2010)
  39. Fleck M, Hüter C et al Philosophical Magazine 90 265 (2010)
  40. Shakhnazarov T A Tech. Phys. 54 1774 (2009)
  41. Mollaev A Yu, Saypulaeva L A et al Semiconductors 43 701 (2009)
  42. Grigor’eva M S, Voloshin A É et al Crystallogr. Rep. 54 637 (2009)
  43. Nepochatenko V A, Duda V M, Nepochatenko I A Phys. Solid State 51 1360 (2009)
  44. Kaletina Yu V, Schastlivtsev V M, Fokina E A Met Sci Heat Treat 50 164 (2008)
  45. Kaletina Yu V, Fokina E A Met Sci Heat Treat 50 482 (2008)
  46. Pilipenko D, Brener E A, Hüter C Phys. Rev. E 78 (6) (2008)
  47. Armstrong Ja N, Sullivan M R et al 103 (2) (2008)
  48. Topolov V Yu, Cao H, Viehland D J. Phys.: Condens. Matter 19 246224 (2007)
  49. Pozdnyakov V A Dokl. Phys. 52 319 (2007)
  50. Brener E A, Marchenko V I, Spatschek R Phys. Rev. E 75 (4) (2007)
  51. Dutov A G, Shipilo V B et al Crystallogr. Rep. 51 334 (2006)
  52. Aliev R A, Andreev V N et al Phys. Solid State 48 929 (2006)
  53. Mollaev A Yu, Arslanov R K et al Inorg Mater 41 7 (2005)
  54. Chopra H D, Sullivan M R 76 (1) (2005)
  55. Mollaev A Yu, Arslanov R K et al Inorg Mater 41 7 (2005)
  56. Lubenets S V, Natsik V D, Fomenko L S 30 345 (2004)
  57. Glezer A M, Pozdnyakov V A Dokl. Phys. 49 570 (2004)
  58. Sullivan M R, Chopra H D Phys. Rev. B 70 (9) (2004)
  59. Kondaurov V I Journal Of Applied Mathematics And Mechanics 68 65 (2004)
  60. Vasil’ev A N, Buchel’nikov V D et al Uspekhi Fizicheskikh Nauk 173 577 (2003)
  61. Daunov M I, Kamilov I K et al J. Phys.: Condens. Matter 15 2335 (2003)
  62. Klimov V A, Timofeeva I O et al Semiconductors 37 370 (2003)
  63. Danilov O B, Klimov V A et al Tech. Phys. 48 73 (2003)
  64. Kukushkin S A, Osipov A V Phys. Rev. B 65 (17) (2002)
  65. Gagarina E S, Éknadiosyants E I et al Crystallogr. Rep. 47 979 (2002)
  66. Klimov V A, Timofeeva I O et al Tech. Phys. 47 1134 (2002)
  67. Kondaurov V I Russ. J. Earth Sci. 4 85 (2002)
  68. Malygin G A Uspekhi Fizicheskikh Nauk 171 187 (2001) [Malygin G A Phys.-Usp. 44 173 (2001)]
  69. Buchel’nikov V D, Romanov V S et al J. Exp. Theor. Phys. 93 1302 (2001)
  70. Shadrin E B Phys. Solid State 42 1126 (2000)
  71. D’yachenko S S Met Sci Heat Treat 42 122 (2000)
  72. Andreev V N, Pikulin V A, Frolov D I Phys. Solid State 42 330 (2000)
  73. Topolov vitali Yu Ferroelectrics 222 41 (1999)
  74. Raniecki B, Lexcellent CH Solid Mechanics And Its Applications Vol. IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid MechanicsThe Equilibrium Motion of the Martensitic Interface in Thick-Walled Infinite Austenitic Plate66 Chapter 6 (1999) p. 45
  75. Aslanyan T A, Shigenari T, Abe K J. Phys.: Condens. Matter 10 4577 (1998)
  76. Fomenko L S, Lubenets S V et al Phys. Solid State 40 453 (1998)
  77. Kvítek Z J. Phys.: Condens. Matter 9 127 (1997)
  78. Chudnovskii F A, Andreev V N et al Journal Of Solid State Chemistry 133 430 (1997)
  79. Krivoglaz M A X-Ray and Neutron Diffraction in Nonideal Crystals Chapter 2 (1996) p. 75
  80. Nagaev E L, Podel’shchikov A I Physica C: Superconductivity 265 267 (1996)
  81. Krivolaz M A Diffuse Scattering of X-Rays and Neutrons by Fluctuations Chapter 2 (1996) p. 51
  82. Gomonaj E V, L’Vov V A Phase Transitions 56 43 (1996)
  83. Nagaev E L Physica Status Solidi (b) 186 9 (1994)
  84. Khachaturyan A G Ecomaterials (1994) p. 799
  85. Izyumov Yu A, Laptve V M, Syromyatnikov V N Phase Transitions 49 1 (1994)
  86. Nagaev E L Physica C: Superconductivity 222 324 (1994)
  87. North-Holland Series In Applied Mathematics And Mechanics Vol. Stability in ViscoelasticityStability of Elastic and Viscoelastic Three-Dimensional Bodies38 (1994) p. 400
  88. Kosevich A M, Boiko V S Materials Science And Engineering: A 164 111 (1993)
  89. Filippov A E, Kuzovlev Yu E, Soboleva T K Physics Letters A 178 301 (1993)
  90. Roytburd A L Phase Transitions 45 1 (1993)
  91. Bornarel J, Cach R J. Phys.: Condens. Matter 5 2977 (1993)
  92. Kosevich A M, Boiko V S Fundamental Aspects of Dislocation Interactions (1993) p. 111
  93. Bulbich A A J Mater Sci 27 1070 (1992)
  94. Kamilov I K, Daunov M I et al High Pressure Research 10 432 (1992)
  95. Kandaurova G S, Vlasova N I et al Uspekhi Fizicheskikh Nauk 162 161 (1992)
  96. Charniy L A, Morozov A N et al Journal Of Crystal Growth 116 369 (1992)
  97. Fousek J ISAF ’92: Proceedings of the Eighth IEEE International Symposium on Applications of Ferroelectrics, (1992) p. 171
  98. Chaim R Journal Of The American Ceramic Society 75 694 (1992)
  99. Likhachev A A, Koval Yu N Scripta Metallurgica Et Materialia 27 1623 (1992)
  100. Givargizov E I Oriented Crystallization on Amorphous Substrates Chapter 1 (1991) p. 1
  101. Chiao Y-H, Chen I-W Acta Metallurgica Et Materialia 38 1163 (1990)
  102. Fesenko E G, Gavrilyatchenko V G, Semenchev A F Ferroelectrics 95 225 (1989)
  103. Krasko G L, Olson G B Phys. Rev. B 40 11536 (1989)
  104. Nechaev V N, Roschupkin A M Ferroelectrics 90 29 (1989)
  105. Dec J, Kwapuliński J Phase Transitions 18 1 (1989)
  106. Dec J, Kwapulinski J J. Phys.: Condens. Matter 1 3389 (1989)
  107. Skulski R Ferroelectrics 81 135 (1988)
  108. Britun V F, Oleinik G S et al Powder Metall Met Ceram 26 557 (1987)
  109. Olemskoi A I, Panin V E, Petrunin V A Soviet Physics Journal 29 98 (1986)
  110. Dec J Ferroelectrics 69 187 (1986)
  111. Dzyabchenko A V, Bazilevskii M V J Struct Chem 26 558 (1986)
  112. Fesenko E G, Gavrilyatchenko V G et al Ferroelectrics 63 289 (1985)
  113. Kosilov A T Soviet Physics Journal 28 380 (1985)
  114. Belyaeva A I, Kotlyarskii M M et al Phys. Stat. Sol. (a) 83 245 (1984)
  115. Kosilov A T, Perevoznikov A M, Roshchupkin A M Ferroelectrics 48 21 (1983)
  116. GINZBURG V L, SOBYANIN A A, LEVANYUK A P Modern Problems In Condensed Matter Sciences Vol. Light Scattering Near Phase TransitionsGeneral Theory of Light Scattering Near Phase Transitions in Ideal Crystals5 (1983) p. 3
  117. Dec Ja Cryst. Res. Technol. 18 195 (1983)
  118. Kandaurova G S, Onoprienko L G, Sokolovskaya N I Phys. Stat. Sol. (a) 73 351 (1982)
  119. Geilikman M B Phys Chem Minerals 6 1 (1980)
  120. Ginzburg V L, Levanyuk A P, Sobyanin A A Physics Reports 57 151 (1980)
  121. Aslanian T A, Levanyuk A P Solid State Communications 31 547 (1979)
  122. Geilikman M B Physica Status Solidi (b) 91 725 (1979)
  123. Roitburd A L, Kurdjumov G V Materials Science And Engineering 39 141 (1979)
  124. Doling G Journal Of Physics And Chemistry Of Solids 40 121 (1979)
  125. Roitburd A L Solid State Physics Vol. 33 (1978) p. 317
  126. Streltsov V A Phys. Stat. Sol. (a) 49 K129 (1978)
  127. Otko A I, Nesterenko N M, Povstyanyi L V Phys. Stat. Sol. (a) 46 577 (1978)
  128. Roitburd A L Phys. Stat. Sol. (a) 40 333 (1977)
  129. Kasatkin B S, Grinyuk V D Polymer Mechanics 12 339 (1977)
  130. Pique J P, Dolino G, Vallade M J. Phys. France 38 1527 (1977)
  131. Roitburd A L, Kosenko N S Phys. Stat. Sol. (a) 35 735 (1976)
  132. Roitburd A L Phys. Stat. Sol. (a) 37 329 (1976)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions