Elastic phase transitions in solids. High pressure effect
At high pressures (the pressure is comparable with the bulk modulus) the crystalline lattice may become unstable relative to the uniform shear deformations, and in a result the low symmetric crystalline structures will appear (the so-called “elastic phase transitions”). The order parameters at these...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2018 |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Zitieren: | Elastic phase transitions in solids. High pressure effect / Yu.Kh. Vekilov, O.M. Krasilnikov // Физика низких температур. — 2018. — Т. 44, № 6. — С. 758-764. — Бібліогр.: 30 назв. — англ. |
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Vekilov, Yu.Kh. Krasilnikov, O.M. 2021-02-03T19:43:48Z 2021-02-03T19:43:48Z 2018 Elastic phase transitions in solids. High pressure effect / Yu.Kh. Vekilov, O.M. Krasilnikov // Физика низких температур. — 2018. — Т. 44, № 6. — С. 758-764. — Бібліогр.: 30 назв. — англ. 0132-6414 PACS: 61.50.Ks, 61.66.Bi, 62.20.D–, 62.50.–p https://nasplib.isofts.kiev.ua/handle/123456789/176171 At high pressures (the pressure is comparable with the bulk modulus) the crystalline lattice may become unstable relative to the uniform shear deformations, and in a result the low symmetric crystalline structures will appear (the so-called “elastic phase transitions”). The order parameters at these transitions are the components of the finite deformations tensor. The stability of the high-pressure phases is defined by the nonlinear elasticity of the lattice (the third, fourth etc. order elastic constants). Here the different cases of the stability loss at hydro-static pressure for the cubic structures are considered. The relation between the second, third and fourth order elastic constants is given, which defines the possibility of the first order deformation phase transition. The jump of the order parameter and the height of the potential barrier are defined by the third and fourth order elastic constants. As an example, the experimentally observed elastic phase transition in vanadium at P ≈ 69 GPa from bcc to the rhombohedral phase is analyzed, and the possible structural transitions in bcc Mo and W at P ≥ 700 GPa are also considered. The work is executed at financial support of the Ministry of Education and Science of the Russian Federation (Grant No. 14.Y26.31.0005) and the Russian Foundation for Basic Research (Grant 16-02-00699 and Grant 16-02- 01027). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова Elastic phase transitions in solids. High pressure effect Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Elastic phase transitions in solids. High pressure effect |
| spellingShingle |
Elastic phase transitions in solids. High pressure effect Vekilov, Yu.Kh. Krasilnikov, O.M. Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| title_short |
Elastic phase transitions in solids. High pressure effect |
| title_full |
Elastic phase transitions in solids. High pressure effect |
| title_fullStr |
Elastic phase transitions in solids. High pressure effect |
| title_full_unstemmed |
Elastic phase transitions in solids. High pressure effect |
| title_sort |
elastic phase transitions in solids. high pressure effect |
| author |
Vekilov, Yu.Kh. Krasilnikov, O.M. |
| author_facet |
Vekilov, Yu.Kh. Krasilnikov, O.M. |
| topic |
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| topic_facet |
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| publishDate |
2018 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
At high pressures (the pressure is comparable with the bulk modulus) the crystalline lattice may become unstable relative to the uniform shear deformations, and in a result the low symmetric crystalline structures will appear (the so-called “elastic phase transitions”). The order parameters at these transitions are the components of the finite deformations tensor. The stability of the high-pressure phases is defined by the nonlinear elasticity of the lattice (the third, fourth etc. order elastic constants). Here the different cases of the stability loss at hydro-static pressure for the cubic structures are considered. The relation between the second, third and fourth order elastic constants is given, which defines the possibility of the first order deformation phase transition. The jump of the order parameter and the height of the potential barrier are defined by the third and fourth order elastic constants. As an example, the experimentally observed elastic phase transition in vanadium at P ≈ 69 GPa from bcc to the rhombohedral phase is analyzed, and the possible structural transitions in bcc Mo and W at P ≥ 700 GPa are also considered.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/176171 |
| citation_txt |
Elastic phase transitions in solids. High pressure effect / Yu.Kh. Vekilov, O.M. Krasilnikov // Физика низких температур. — 2018. — Т. 44, № 6. — С. 758-764. — Бібліогр.: 30 назв. — англ. |
| work_keys_str_mv |
AT vekilovyukh elasticphasetransitionsinsolidshighpressureeffect AT krasilnikovom elasticphasetransitionsinsolidshighpressureeffect |
| first_indexed |
2025-12-07T17:22:38Z |
| last_indexed |
2025-12-07T17:22:38Z |
| _version_ |
1850871023761620992 |