Grain boundary phase transformations in Al and Cu-based alloys

B.B. Straumal, O.A. Kogtenkova, A.B. Straumal, B. Baretzky show affiliations and emails
Received 02 June 2018; Accepted 04 July 2018;
Citation: B.B. Straumal, O.A. Kogtenkova, A.B. Straumal, B. Baretzky. Grain boundary phase transformations in Al and Cu-based alloys. Lett. Mater., 2018, 8(3) 364-371
BibTex   https://doi.org/10.22226/2410-3535-2018-3-364-371

Abstract

Grain boundary wetting by the melt in the Cu-10 wt.% Ag alloyThe phase transformations can proceed not only between bulk phases but also in free surfaces, grain boundaries and interphase boundaries. In this review we consider the grain boundary phase transformations in Cu- and Al-based alloys. In particular, among those transformations are the transitions between compete and incomplete grain boundary wetting. The wetting phase can be either liquid or solid. If the wetting phase is solid, the portion of wetted grain boundaries can increase also with decreasing temperature. The transition itself can be discontinuous (of the first order) or continous (of the second order). The thin layers of grain boundary phases (called also the grain boundary complexions) can occur in the conditions (temperature, pressure and concentration) where only one volume phase can exist. The phenomenon of the pseudo-incomplete (or pseudo-partial) grain boundary wetting is also discussed. In this case the non-zero grain boundary contact angle coexists with thin layer of grain boundary phase. The new lines of respective grain boundary phase transformations appear in the conventional phase diagrams for three-dimensional phases. The grain boundary phase transitions can strongly influence the properties of grain boundaries themselves and those of polycrystals as a whole. For example, the presence of grain boundary layers can increase the plasticity (if the phase is ductile) or decrease it (of the grain boundary phase is brittle). The influence of grain boundary phase transitions increases with decreasing grain size and becomes critical in nanograined materials.

References (202)

1. J. W. Cahn. J. Chem. Phys. 66, 3667 (1977).
2. C. Ebner, W. F. Saam. Phys. Rev. Lett. 38, 1486 (1977).
3. E. I. Rabkin, L. S. Shvindlerman, B. B. Straumal. Int. J. Mod. Phys. B 5, 2989 (1991).
4. A. Subramaniam, C. Koch, R. M. Cannon et al. Mater. Sci. Eng. A. 422, 3 (2006).
5. J. Luo. Crit. Rev. Solid State Mater. Sci. 32, 67 (2007).
6. W. D. Kaplan, D. Chatain, P. Wynblatt et al. J. Mater. Sci. 48, 5681 (2013).
7. P. R. Cantwell, T. Ming, S. J. Dillon et al. Acta Mater. 62, 1 (2014).
8. B. B. Straumal, A. A. Mazilkin, B. Baretzky. Curr. Opin.Solid State Mater. Sci. 20, 247 (2016).
9. J. Luo. J. Materiom. 1, 22 (2015).
10. D. Raabe, M. Herbig, S. Sandloebes et al. Curr. Opin. Solid State Mater. Sci. 4, 253 (2014).
11. P. R. Cantwell, M. Tang, S. J. Dillon et al. Acta Mater. 62, 1 (2014).
12. G. S. Rohrer. J. Mater. Sci. 46, 5881 (2011).
13. S. J. Dillon, M. P. Harmer, J. Luo. JOM 61, 38 (2009).
14. B. B. Straumal, W. Gust. Mater. Sci. Forum. 207 - 209, 59 (1996).
15. S. Yang, N. Zhou, H. Zheng et al. Phys. Rev. Lett. 120, 085702 (2018).
16. Q. Zhu, A. Samanta, B. Li et al. Nature Commun. 9, 467 (2018).
17. N. Zhou, Z. Yu, Y. Zhang et al. Scripta Mater. 130, 165 (2017).
18. Q. Gao, M. Widom. Curr. Opin. Solid State Mater. Sci. 20, 240 (2016).
19. J. M. Rickman, J. Luo. Curr. Opin. Solid State Mater. Sci. 20, 225 (2016).
20. N. Zhou, T. Hu, J. Luo. Curr. Opin. Solid State Mater. Sci. 20, 268 (2016).
21. S. A. E. Johansson, G. Wahnstrom. Curr. Opin. Solid State Mater. Sci. 20, 299 (2016).
22. N. Zhou, J. Luo. Acta Mater. 91, 202 (2015).
23. S. K. Behera, P. R. Cantwell, M. P. Harmer. Scripta Mater. 90 - 91, 33 (2014).
24. X. Shi, J. Luo. Phys. Rev. B 84, 014105 (2011).
25. A. Kayyar, H. Qian, J. Luo. Appl. Phys. Lett. 95, 221905 (2009).
26. J. Luo. Curr. Opin. Solid State Mater. Sci. 12, 81 (2008).
27. M. Tang, W. C. Carter, R. M. Cannon. Phys. Rev. B. 73, 024102 (2006).
28. S. G. Protasova, O. A. Kogtenkova, B. B. Straumal et al. J. Mater. Sci. 46, 4349 (2011).
29. B. B. Straumal, A. S. Gornakova, O. A. Kogtenkova et al. Phys Rev B. 78, 054202 (2008).
30. B. B. Straumal, O. Kogtenkova, P. Zieba. Acta Mater. 56, 925 (2008).
31. B. B. Straumal, B. Baretzky, O. A. Kogtenkova et al. J. Mater. Sci. 45, 2057 (2010).
32. O. A. Kogtenkova, A. B. Straumal, N. S. Afonikova et al. Phys. Sol. State. 58, 743 (2016).
33. B. B. Straumal, W. Gust, T. Watanabe, Mater. Sci. Forum. 294 / 296, 411 (1999).
34. B. B. Straumal, W. Gust, D. A. Molodov. Interface Sci. 3, 127 (1995).
35. B. Straumal, W. Gust, D. Molodov. J. Phase Equil. 15, 386 (1994).
36. J. G. Dash, H. Fu, J. S. Wettlaufer. Rep. Prog. Phys. 58, 115 (1995).
37. L. S. Chang, E. Rabkin, B. Straumal et al. Scripta mater. 37, 729 (1997).
38. J. Luo, Y. M. Chiang, R. M. Cannon. Langmuir. 21, 7358 (2005).
39. L. S. Chang, E. Rabkin, B. B. Straumal et al. Defect Diff. Forum. 156, 135 (1998).
40. J. Luo, M. Tang, R. M. Cannon et al. Mater. Sci. Eng. A. 422, 19 (2006).
41. J. Luo, Y. M. Chiang. Ann. Rev. Mater. Res. 38, 227 (2008).
42. L. S. Chang, B. B. Straumal, E. Rabkin et al. J. Phase Equil. 18, 128 (1997).
43. E. I. Rabkin, L. S. Shvindlerman, B. B. Straumal. J. Less-Common Met. 159, 43 (1990).
44. J. Luo. Appl. Phys. Lett. 95, 071911 (2009).
45. B. Straumal, O. Kogtenkova, S. Protasova et al. Mater. Sci. Eng. A 495, 126 (2008).
46. M. Tang, W. Craig Carter, R. M. Cannon. Phys. Rev. B. 73, 024102 (2006).
47. A. Khalajhedayati, T. J. Rupert. JOM. 67, 2788 (2015).
48. M. Kuzmina, M. Herbig, D. Ponge et al. Science. 349, 1080 (2015).
49. H. Sternlicht, S. A. Bojarski, G. S. Rohrer et al. J. Eur. Ceram. Soc. 38, 1829 (2018).
50. K. D. Behler, C. J. Marvel, J. C. LaSalvia et al. Scripta Mater. 142, 106 (2018).
51. J. D. Schuler, T. J. Rupert. Acta Mater. 140, 196 (2017).
52. A. A. Mazilkin, B. B. Straumal, S. G. Protasova et al. Mater Lett. 192, 101 (2017).
53. A. Kwiatkowski da Silva, G. Leyson, M. Kuzmina et al. Acta Mater. 124, 305 (2017).
54. S. J. Dillon, K. Tai, S. Chen. Curr. Opin. Solid State Mater. Sci. 20, 324 (2016).
55. A. Tewari, P. Bowen. Curr. Opin. Solid State Mater. Sci. 20, 278 (2016).
56. W. Rheinheimer, M. J. Hoffmann. Curr. Opin. Solid State Mater. Sci. 20, 286 (2016).
57. B. Dargatz, J. Gonzalez, M. Bram et al. J. Eur. Ceram. Soc. 36, 1221 (2016).
58. W. Rheinheimer, M. J. Hoffmann. J. Mater. Sci. 51, 1756 (2016).
59. W. Rheinheimer, M. J. Hoffmann. Scripta Mater. 101, 68 (2015).
60. W. Rheinheimer, M. Baeurer, H. Chien et al. Acta Mater. 82, 32 (2015).
61. J. P. Winterstein, C. B. Carter. J. Eur. Ceram. Soc. 34, 3007 (2014).
62. S. Ma. P. R. Cantwell, T. J. Pennycook et al. Acta Mater. 61, 1691 (2013).
63. S. A. Bojarski, S. Ma, W. Lenthe et al. Metall. Mater. Trans. A. 43, 3532 (2012).
64. D. R. Clarke. J. Am. Ceram. Soc. 70, 15 (1987).
65. Y. Zhang, J. Luo. Scripta Mater. 88, 45 (2014).
66. K. Tai, L. Feng, S. J. Dillon. J. Appl. Phys. 113, 193507 (2013).
67. A. Kundu, K. M. Asl, J. Luo et al. Scripta Mater. 68, 146 (2013).
68. B. B. Straumal, A. A. Mazilkin, O. A. Kogtenkova et al. Phil. Mag. Lett. 87, 423 (2007).
69. J. M. Rickman, M. P. Harmer, H. M. Chan. Surf. Sci. 651, 1 (2016).
70. Z. Pan, T. J. Rupert. Phys. Rev. B. 93, 134113 (2016).
71. MP Harmer. J. Amer. Ceram. Soc. 93, 301 (2010).
72. J. M. Rickman, H. M. Chan, M. P. Harmer et al. Surf. Sci. 618, 88 (2013).
73. S. J. Dillon, M. Tang, W. Craig Carter et al. Acta Mater. 55, 6208 (2007).
74. I. Konyashin, A. Sologubenko, T. Weirich et al. Mater. Lett. 187, 7 (2017).
75. N. Zhou, T. Hu, J. Huang et al. Scripta Mater. 124, 160 (2016).
76. T. J. Rupert. Curr. Opin. Solid State Mater. Sci. 20, 257 (2016).
77. M. P. Harmer, G. S. Rohrer. Curr. Opin. Solid State Mater. Sci. 20, IV (2016).
78. S. A. Bojarski, M. P. Harmer, G. S. Rohrer. Scripta Mater. 88, 1 (2014).
79. S. J. Dillon, M. P. Harmer, G. S. Rohrer. J. Amer. Ceram. Soc. 93, 1796 (2010).
80. O. Schumacher, C. J. Marvel, M. N. Kelly et al. Curr. Opin. Solid State Mater. Sci. 20, 316 (2016).
81. P. R. Cantwell, S. Ma, S. A. Bojarski et al. Acta Mater. 106, 78 (2016).
82. D. A. Molodov, B. B. Straumal, L. S. Shvindlerman. Scripta Metall. 18, 207 (1984).
83. W. E. Frazier, G. S. Rohrer, A. D. Rollett. Acta Mater. 96, 390 (2015).
84. D. A. Molodov, U. Czubayko, G. Gottstein et al. Phil. Mag. Lett. 72, 361 (1995).
85. O. I. Noskovich, E. I. Rabkin, V. N. Semenov et al. Acta Metal. Mater. 39, 3091 (1991).
86. M. M. Moghadam, J. M. Rickman, M. P. Harmer et al. J. Appl. Phys. 117, 045311 (2015).
87. B. B. Straumal, O. I. Noskovich, V. N. Semenov, L. S. Shvindlerman et al. Acta metall. Mater. 40, 795 (1992).
88. S. V. Divinski, M. Lohmann, C. Herzig et al. Phys. Rev. B. 71, 104104 (2005).
89. B. B. Straumal, S. A. Polyakov, E. Bischoff et al. Interface Sci. 9, 287 (2001).
90. J. W. Lee, M. Terner, H. U. Hong et al. Mater. Charact. 135, 146 (2018).
91. J. Schölhammer, B. Baretzky, W. Gust et al. Interf. Sci. 9, 43 (2001).
92. G. S. Rohrer. Curr. Opin. Solid State Mater. Sci. 20, 231 (2016).
93. B. B. Straumal, O. A. Kogtenkova, A. S. Gornakova et al. J. Mater. Sci. 51, 382 (2016).
94. E. L. Maksimova, L. S. Shvindlerman, B. B. Straumal. Acta Metall. 36, 1573 (1988).
95. X. Feng, J. Zhang, Z. Xia et al. Mater. Lett. 210, 84 (2018).
96. D. A. Molodov, V. A. Ivanov, G. Gottstein. Acta Mater. 55, 1843 (2007).
97. T. Gorkaya, D. A. Molodov, G. Gottstein. Acta Mater. 57, 5396 (2009).
98. T. Gorkaya, K. D. Molodov, D. A. Molodov et al. Acta Mater. 59, 5674 (2011).
99. D. A. Molodov, T. Gorkaya, G. Gottstein. Scripta Mater. 65, 990 (2011).
100. K. V. Reddy, S. Pal. J. Molec. Model. 24, 87 (2018).
101. J. Zhang, C. C. Tasan, M. J. Lai et al. Nature Commun. 8, 14210 (2017).
102. M. Friak, M. Vsianska, D. Holec et al. IOP Conf. Ser. Mater. Sci. Eng. 219, 012019 (2017).
103. L. Feng, R. Hao, J. Lambros et al. Acta Mater. 142, 121 (2018).
104. Z. Yu, P. R. Cantwell, Q. Gao et al. Science 358, 97 (2017).
105. R. Tran, Z. Xu, N. Zhou et al. Acta Mater. 117, 91 (2016).
106. A. Ahadi, A. R. Kalidindi, J. Sakurai et al. Acta Mater. 142, 181 (2018).
107. Z. Pan, T. J. Rupert. Scripta Mater. 130, 91 (2017).
108. W. Cao, A. Kundu, Z. Yu et al. Scripta Mater. 69, 81 (2013).
109. R. Z. Valiev, M. Yu. Murashkin, B. B. Straumal. Mater. Sci. Forum. 633 - 634, 321 (2009).
110. R. Z. Valiev, M. Y. Murashkin, A. Kilmametov et al. J. Mater. Sci. 45, 4718 (2010).
111. N. Q. Chinh, T. Csanádi, J. Gubicza et al. Mater. Sci. Forum. 667 - 669, 677 (2011).
112. N. Q. Chinh, T. Csanádi, T. Győri et al. Mater. Sci. Eng. A. 543, 117 (2012).
113. B. B. Straumal, X. Sauvage, B. Baretzky et al. Scripta Mater. 70, 59 (2014).
114. B. Straumal, R. Valiev, O. Kogtenkova et al. Acta Mater. 56, 6123 (2008).
115. K. Higashi, T. G. Nieh, M. Mabuchi et al. Scripta Metall. Mater. 32, 1079 (1995).
116. Y. Takayama, T. Tozawa, H. Kato. Acta Mater. 47, 1263 (1999).
117. H. Iwasaki, T. Mori, M. Mabuchi et al. Acta Mater. 46, 6351 (1998).
118. B. Baudelet, M. C. Dang, F. Bordeaux. Scripta Metall. Mater. 26, 573 (1992).
119. M. Mabuchi, K. Higashi, T. Imai et al. Scripta Metall. 25, 1675 (1991).
120. C. Kalcher, O. Adjaoud, J. Rohrer et al. Scripta Mater. 141, 115 (2017).
121. A. Li, I. Szlufarska. J. Mater. Sci. 52, 4555 (2017).
122. T. M. Smith, B. D. Esser, N. Antolin et al. Nature Commun. 7, 13434 (2016).
123. A. Kosinova, B. B. Straumal, A. R. Kilmametov et al. Mater. Lett. 199, 156 (2017).
124. K. Shinagawa, S. Maki, K. Yokota. J. Eur. Ceram. Soc. 34, 3027 (2014).
125. L. Amaral, M. Fernandes, I. M. Reaney et al. J. Phys. Chem. C. 117, 24787 (2013).
126. M. Baeurer, M. Syha, D. Weygand. Acta Mater. 61, 5664 (2013).
127. K. Biotteau-Deheuvels, L. Zych, L. Gremillard et al. J. Eur. Ceram. Soc. 32, 2711 (2012).
128. S. J. Dillon, M. P. Harmer, G. S. Rohrer. Acta Mater. 58, 5097 (2010).
129. S. J. Dillon, H. Miller, M. P. Harmer et al. Int. J. Mater. Res. 101, 50 (2010).
130. A. Gupta, S. Sharma, M. R. Joshi et al. Mater. Sci. Forum 653, 87 (2010).
131. J. Nie, J. M. Chan, M. Qin et al. Acta Mater. 130, 329 (2017).
132. Y. Zu, G. Chen, X. Fu et al. Ceram. Intern. 40, 3989 (2014).
133. G. Gluzer, W. D. Kaplan. J. Eur. Ceram. Soc. 33, 3101 (2013).
134. J. I. Jung, N. Zhou, J. Luo. J. Mater. Sci. 47, 8308 (2012).
135. I. Reimanis, H. J. Kleebe. J. Am. Ceram. Soc. 92, 1472 (2009).
136. S. J. Dillon, M. P. Harmer. J. Eur. Ceram. Soc. 28, 1485 (2008).
137. P. Bueno, J. Varela, E. Longo. J. Eur. Ceram. Soc. 28, 505 (2008).
138. Y. Wu, M. Gao, S. Li et al. Mater. Lett. 211, 247 (2018).
139. W. J. Bowman, M. N. Kelly, G. S. Rohrer et al. Nanoscale. 9, 17293 (2017).
140. M. Cesar, D. Gall, H. Guo. Phys. Rev. Appl. 5, 054018 (2016).
141. B. Straumal, N. E. Sluchanko, W. Gust. Def. Diff. Forum. 188 - 190, 185 (2001).
142. B. B. Straumal, A. A. Myatiev, P. B. Straumal, A. A. Mazilkin. In: Nanoscale Phenomena - Fundamentals and Applications (Eds. H. Hahn, A. Sidorenko, I. Tigineanu). Springer Verlag, Series NanoScience, Berlin etc. (2009) 205 p. Grain Boundary Phase Transformations in Nanostructured Conducting Oxides. P. 75 - 88.
143. B. B. Straumal, S. G. Protasova, A. A. Mazilkin et al. Beilstein J. Nanotechnol. 7, 1936 (2016).
144. P. Zong, R. Hanus, M. Dylla et al. Energy Envir. Sci. 10, 183 (2017).
145. J. M. Rickman, M. P. Harmer, H. M. Chan. Surf. Sci. 651, 1 (2016).
146. M. J. Kriegel, A. Kilmametov, M. Rudolph et al. Adv. Eng. Mater. 20, 1700933 (2018).
147. B. B. Straumal, A. S. Gornakova, A. A. Mazilkin et al. Mater. Lett. 81, 225 (2012).
148. O. A. Kogtenkova, S. G. Protasova, A. A. Mazilkin et al. J. Mater. Sci. 47, 8367 (2012).
149. O. A. Kogtenkova, B. B. Straumal, S. G. Protasova et al. JETP Lett. 96, 380 (2012).
150. O. A. Kogtenkova, P. Zieba, T. Czeppe et al. Bull. Russ. Acad. Sci. Phys. 77, 1386 (2013).
151. Ed. by T. B. Massalski. Binary Alloy Phase Diagrams, 2nd ed. ASM International, Materials Park, OH (1990) 3589 p.
152. X. Sauvage, M. Yu. Murashkin, B. B. Straumal et al. Adv. Eng. Mater. 17, 1821 (2015).
153. B. B. Straumal, A. R. Kilmametov, A. Korneva et al. J. Alloys Comp. 707, 20 (2017).
154. S. N. Zhevnenko, E. I. Gershman. J. Alloys Comp. 536S, S554 (2012).
155. V. N. Perevezentsev, M. Yu. Shcherban, M. Yu. Murashkin et al. JETP Lett. 33, 40 (2007).
156. Z. J. Wei, Z. L. Wang, H. W. Wang et al. J. Mater. Sci. 42, 7123 (2007).
157. M. Schoenitz, E. L. Dreizin. J. Mater. Res. 18, 1827 (2003).
158. A. I. Skvortsov, V. V. Polev. Metal. Sci. Heat Treat. 59, 504 (2017).
159. E. I. Rabkin, V. N. Semenov, L. S. Shvindlerman et al. Acta metall. mater. 39, 627 (1991).
160. B. Straumal, E. Rabkin, L. Shvindlerman et al. Mater. Sci. Forum. 126 - 128, 391 (1993).
161. O. I. Noskovich, E. I. Rabkin, V. N. Semenov et al. Scripta metall. 25, 1441 (1991).
162. B. Straumal, E. Rabkin, W. Lojkowski et al. Acta mater. 45, 1931 (1997).
163. L.-S. Chang, E. Rabkin, B. B. Straumal et al. Acta mater. 47, 4041 (1999).
164. B. Straumal, S. I. Prokofjev, L.-S. Chang et al. Def. Diff. Forum. 194 - 199, 1343 (2001).
165. L.-S. Chang, W. Lojkowski, B. Straumal et al. Acta Mater. 55, 335 (2007).
166. B. B. Straumal, O. A. Kogtenkova, M. Yu. Murashkin et al. Mater. Lett. 186, 82 (2017).
167. B. B. Straumal, A. Korneva, O. Kogtenkova et al. J. Alloys Comp. 615, S183 (2014).
168. E. V. Bobruk, X. Sauvage, N. А. Enikeev et al. Rev. Adv. Mater. Sci. 43, 45 (2015).
169. G. A. López, E. J. Mittemeijer, B. B. Straumal. Acta Mater. 52, 4537 (2004).
170. B. B. Straumal, A. S. Khruzhcheva, G. A. López. Isvestia RAS (ser. phys.). 69, 1312 (2005). (in Russian) [Б. Б. Страумал, А. С. Хрущева, Г. Лопес. Известия РАН (сер. физ.) 69, 1312 (2005).].
171. B. B. Straumal, A. S. Khruzhcheva, G. A. López. Rev. Adv. Mater. Sci. 6, 13 (2004).
172. B. B. Straumal, B. Baretzky, A. A. Mazilkin et al. Acta Mater. 52, 4469 (2004).
173. A. A. Mazilkin, O. A. Kogtenkova, B. B. Straumal et al. Def. Diff. Forum. 237 - 240, 739 (2005).
174. B. B. Straumal, A. O. Rodin, A. E. Shotanov et al. Def. Diff. Forum. 333, 175 (2013).
175. B. B. Straumal, A. A. Mazilkin, X. Sauvage et al. Russ. J. Non-Ferr. Met. 56, 44 (2015).
176. N. Q. Chinh, R. Z. Valiev, X. Sauvage et al. Adv. Eng. Mater. 16, 1000 (2014).
177. J. O. Indekeu, J. M. J. van Leeuwen. Physica A. 236, 114 (1997).
178. S. Dietrich, M. Schick. Phys. Rev. B. 31, 4718 (1985).
179. W. F. Saam, V. B. Shenoy. J. Low Temp. Phys. 101, 225 (1995).
180. W. F. Saam, V. B. Shenoy. Phys. Rev. Lett. 75, 4086 (1995).
181. S. Dietrich, M. Napiorkowski. Phys. Rev. A. 43, 1861 (1991).
182. J. O. Indekeu, J. M. J. van Leeuwen. Physica C. 251, 290 (1995).
183. C. J. Boulter, F. Clarysse. Phys. Rev. E. 60, R2472 (1999).
184. P. S. Swain, A. O. Parry. Europhys. Lett. 37, 207 (1997).
185. A. O. Parry, P. S. Swain. Physica A. 250, 167 (1998).
186. J. O. Indekeu, K. Ragil, D. Bonn et al. J. Stat. Phys. 95, 1009 (1999).
187. F. Clarysse, C. J. Boulter. Physica A. 278, 356 (2000).
188. A. Sartori, A. O. Parry. J. Phys. Cond. Mat. 14, L679 (2002).
189. W. Fenzl. Europhys. Lett. 64, 64 (2003).
190. O. A. Kogtenkova, A. A. Mazilkin, B. B. Straumal et al. J. Mater. Sci. 48, 4758 (2013).
191. S. N. Zhevnenko, E. I. Gershman. J. Alloys Comp. 536, S554 (2012).
192. S. Zhevnenko, E. Gershman. Def. Diff. Forum. 322, 33 (2012).
193. A. Khairullin, V. Nikulkina, S. Zhevnenko et al. Def. Diff. Forum. 380, 135 (2017).
194. B. B. Straumal, B. S. Bokstein, A. B. Straumal et al. JETP Letters. 88, 537 (2008).
195. T. Frolov, Y. Mishin. Phys. Rev. B. 85, 224107 (2012).
196. J. Hickman, Y. Mishin. Phys. Rev. B. 93, 224108 (2016).
197. T. Frolov, M. Asta, Y. Mishin. Phys. Rev. B. 92, 020103 (2015).
198. T. Frolov, S. V. Divinski, M. Asta et al. Phys. Rev. Lett. 110, 255502 (2013).
199. F. Berthier, J. Creuze, R. Tetot et al. Phys. Rev. B. 65, 195413 (2002).
200. J. Creuze, F. Berthier, R. Tetot et al. Phys. Rev. B. 62, 2813 (2000).
201. J. Creuze, F. Berthier, R. Tetot et al. Phys. Rev. Lett. 86, 5735 (2001).
202. A. Y. Lozovoi, A. T. Paxton, M. W. Finnis. Phys. Rev. B. 74, 155416 (2006).

Cited by (23)

1.
A. Mochugovskiy, N. Tabachkova, A. Mikhaylovskaya. Materials Letters. 247, 200 (2019). Crossref
2.
X. Huang, Y. Feng, J. Ge, X. Meng, Y. Wang, L. Li, Z. Li, M. Ding. Materials Letters. 262, 127061 (2020). Crossref
3.
A. Straumal, I. Mazilkin, K. Tzoy, B. Straumal, K. Bryła, A. Baranchikov, G. Eggeler. Metals. 10(9), 1127 (2020). Crossref
4.
B. Straumal, O. Kogtenkova, M. Bulatov, A. Nekrasov, A. Baranchikov, B. Baretzky, A. Straumal. J Mater Sci. 56(13), 7840 (2021). Crossref
5.
A. B. Straumal, I. A. Mazilkin, K. V. Tsoi, B. Baretzky, B. B. Straumal. Jetp Lett. 112(4), 257 (2020). Crossref
6.
G. Mao, D. Liu, W. Gao, S. Liu, L. Zhong. Materials Letters. 304, 130733 (2021). Crossref
7.
Y. Hu, Y. Zhang, Q. Zeng, J. Li, Y. Zhuang, M. Li, P. Zhang. Materials Letters. 305, 130787 (2021). Crossref
8.
Boris B. Straumal, A. Korneva, A. Kuzmin, Gabriel A. Lopez, E. Rabkin, Alexander B. Straumal, G. Gerstein, Alena S. Gornakova. Metals. 11(11), 1881 (2021). Crossref
9.
Elena N. Popova, Irina L. Deryagina, Evgeniya G. Valova-Zaharevskaya, M. Ruello, Vladimir V. Popov. Materials. 14(22), 7033 (2021). Crossref
10.
X. Liu, L. Ye, J. Tang, Y. Dong, B. Ke. Materials Letters. 301, 130251 (2021). Crossref
11.
M. Taheri, A. Kazemi, P. Gurusamy, A. Rasoulpouraghdam, V. Mohanavel, M. Ravichandran, M. Paidar. Materials Letters. 309, 131384 (2022). Crossref
12.
A.G. Mochugovskiy, A.B. Mukhamejanova, A.D. Kotov, O.A. Yakovtseva, N.Yu. Tabachkova, A.V. Mikhaylovskaya. Materials Letters. 310, 131517 (2022). Crossref
13.
L. Kumar, J.C. Jang, H. Yu, K.S. Shin. Materials Letters. 314, 131889 (2022). Crossref
14.
M. Wu, F. Jiang, J. Jiang. Materials Letters. 313, 131723 (2022). Crossref
15.
E.N. Popova, V.V. Popov. Materials Characterization. 167, 110488 (2020). Crossref
16.
A. Aliyu, A. Gupta, C. Srivastava. Metall Mater Trans A. 53(4), 1440 (2022). Crossref
17.
Q. Nie, B. Wang, J. Zhang, W. Tang. Materials Letters. 321, 132440 (2022). Crossref
18.
S.M. Amer, M.V. Glavatskikh, R. Yu. Barkov, M.G. Khomutov, A.V. Pozdniakov. Materials Letters. 320, 132320 (2022). Crossref
19.
L.L. Chang, X.J. Su, J.L. Qin. Materials Letters. 325, 132666 (2022). Crossref
20.
O. Kogtenkova, B. Straumal, A. Mazilkin, T. Czeppe, P. Zięba. Physica Status Solidi (b). 258(11) (2021). Crossref
21.
I.S. Golovin. Materials Letters. 360, 135952 (2024). Crossref
22.
Irina L. Deryagina, Elena N. Popova, Evgeny I. Patrakov. Metals. 13(9), 1576 (2023). Crossref
23.
A.M. Khalil, M. Ibrahim, A.N. Solonin. Materials Letters. 334, 133715 (2023). Crossref

Similar papers