Electronic Scientific Journal
 
Diagnostics, Resource and Mechanics 
         of materials and structures
Рус/Eng  

 

advanced search

IssuesAbout the JournalAuthorContactsNewsRegistration

All Issues

All Issues
 
2024 Issue 2
 
2024 Issue 1
 
2023 Issue 6
 
2023 Issue 5
 
2023 Issue 4
 
2023 Issue 3
 
2023 Issue 2
 
2023 Issue 1
 
2022 Issue 6
 
2022 Issue 5
 
2022 Issue 4
 
2022 Issue 3
 
2022 Issue 2
 
2022 Issue 1
 
2021 Issue 6
 
2021 Issue 5
 
2021 Issue 4
 
2021 Issue 3
 
2021 Issue 2
 
2021 Issue 1
 
2020 Issue 6
 
2020 Issue 5
 
2020 Issue 4
 
2020 Issue 3
 
2020 Issue 2
 
2020 Issue 1
 
2019 Issue 6
 
2019 Issue 5
 
2019 Issue 4
 
2019 Issue 3
 
2019 Issue 2
 
2019 Issue 1
 
2018 Issue 6
 
2018 Issue 5
 
2018 Issue 4
 
2018 Issue 3
 
2018 Issue 2
 
2018 Issue 1
 
2017 Issue 6
 
2017 Issue 5
 
2017 Issue 4
 
2017 Issue 3
 
2017 Issue 2
 
2017 Issue 1
 
2016 Issue 6
 
2016 Issue 5
 
2016 Issue 4
 
2016 Issue 3
 
2016 Issue 2
 
2016 Issue 1
 
2015 Issue 6
 
2015 Issue 5
 
2015 Issue 4
 
2015 Issue 3
 
2015 Issue 2
 
2015 Issue 1

 

 

 

 

 

A. R. Kuznetsov, S. A. Starikov

THE BAIN AND ORTHORHOMBIC PATHS OF THE BCC–FCC TRANSFORMATION IN A BCC METAL

DOI: 10.17804/2410-9908.2023.6.035-044

The energy of the Bain and orthorhombic paths in niobium and the instability of phonons during uniaxial deformation along <001> are studied with the application of the ab initio method. The orthorhombic transformation path is refined with regard to its symmetry. The calculation of the phonon spectrum in the entire irreducible Brillouin zone depending on deformation makes it possible to find the softest branches of the phonon spectrum responsible for the loss of stability of the structure. The nature of the loss of stability is revealed, and the strain at which stability is lost both in tension and compression is evaluated. Possible mechanisms determining the stability of the structure and theoretical strength of niobium are discussed. The results obtained can relate to experimental situations when small defect-free regions are deformed, for example, in nanostructured materials, when surface layers are modified by modern methods of plastic deformation, and during nanoindentation.

Acknowledgments: The work was performed under the state assignment from the Ministry of Science and Higher Education of Russia, theme Structure, No. 122021000033-2. The Uran supercomputer, IMM UB RAS, was used for the calculations.

Keywords: first-principles calculation, Bain and orthorhombic paths, phonon spectrum, structure stability

References:

  1. Bain, E.C. The Nature of Martensite. Trans. AIME, 1924, 70, 25–35.
  2. Okatov, S.V., Kuznetsov, A.R., Gornostyrev, Yu.N., Urtsev, V.N., and Katsnelson, M.I. Effect of magnetic state on the α-γ transition in iron: first-principles calculations of the Bain transformation path. Physical Review B, 2009, 79 (9), 094111–094115. DOI: 10.1103/RevModPhys.84.945.
  3. Grimvall, G., Magyari-Köpe, B., Ozoliņš, V., and Persson, K.A. Lattice instabilities in metallic. Review of Modern Physics, 2012, 84 (3), 945–986. DOI: 10.1103/PhysRevB.79.094111.
  4. Kuznetsov, A.R., Starikov, S.A., and Sagaradze, V.V. Phonon instabilities in a metal on the Bain fcc-bcc transformation path. Diagnostics, Resource and Mechanics of materials and structures, 2022, 6, 86–94. DOI: 10.17804/2410-9908.2022.6.086-094. Available at: http://dream-journal.org/issues/2022-6/2022-6_385.html
  5. Clatterbuck, D.M., Krenn, C.R., Cohen, M.L., Morris Jr., J.W. Phonon instabilities and the ideal strength of aluminum. Physical Review Letters, 2003, 91 (13), 135501–135504. DOI: 10.1103/PhyaRevLett.91.135501.
  6. Pokluda J., Cern M., Sandera P., and Sob, M. Calculations of theoretical strength: state of the art and history. Journal of Computer-Aided Materials Design, 2004, 11, 1–28. DOI: 10.1007/s10820-004-4567-2.
  7. Pokluda, J., Černý, M., Šob, M., Umeno, Y. Ab initio calculations of mechanical properties: methods and applications. Progress in Materials Science, 2015, 73, 127–158. DOI: 10.1016/j.pmatsci.2015.04001.
  8. Li, J., Yip, S. Atomistic measures of materials strength. CMES-Computer Modeling in Engineering and Sciences, 2002, 3, 219. DOI: 10.3970/cmes.2002.003.219.
  9. Luo, W., Roundy, D., Cohen, M.L., and Morris Jr., J.W. Ideal strength of bcc molybdenum and niobium. Physical Review B, 2002, 66 (9), 094110W. DOI: 10.1103/PhysRevB.66.094110.
  10. Černý, M. and Pokluda, J. Influence of superimposed biaxial stress on the tensile strength of perfect crystals from first principles. Physical Review B, 2007, 76 (2), 024115. DOI: 10.1103/PhysRevB.76.024115.
  11. Nagasako, N., Jahnátek, M., Asahi, R., and Hafner, J. Anomalies in the response of V, Nb, and Ta to tensile and shear loading: ab initio density functional theory calculations. Physical Review B, 2010, 81 (9), 094108. DOI: 10.1103/PhysRevB.81.094108.
  12. Wang, Yi.X., Geng, H.Y., Wu, Q., Chen, X.R., and Sun, Y. First-principles investigation of elastic anomalies in niobium at high pressure and temperature. Journal of Applied Physics, 2017, 122 (23), 235903. DOI: 10.1063/1.5006396.
  13. Landa, A., Söderlind, P., Naumov, I.I., Klepeis, J.E., and Vitos, L. Kohn Anomaly and phase stability in group VB transition metals. Computation, 2018, 6, 29. DOI: 10.3390/computation6020029.
  14. Gouldstone, A., Koh, H.-J., Zeng, K.Y., Giannakopoulos, A.E., and Suresh, S. Discrete and continuous deformation during nanoindentation of thin films. Acta Materialia, 2000, 48 (9), 2277–2295. DOI: 10.1016/S1359-6454(00)00009-4.
  15. De la Fuente, O.R., Zimmerman, J.A., Gonzales, M.A., De la Figuera, J., Hamilton, J.C., Pai, W.W., and Rojo, J.M. Dislocation emission around nanoindentations on a (001) fcc metal surface studied by scanning tunneling microscopy and atomic simulation. Physical Review Letters, 2002, 88 (3), 036101–036104. DOI: 10.1103/PhysRevLett.88.036101.
  16. Chang, L.L. and Plog, K., eds. Molecular Beam Epitaxy and Heterostructures, Martinus Nijhoff Publishers, Dordrecht 1985, 1985, 700 p. DOI: 10.1007/978-94-009-5073-3.
  17. Kimminau, G., Erhart, P., Bringa, E.M., Remington, B., and Wark, J.S. Phonon instabilities in uniaxially compressed fcc metals as seen in molecular dynamics simulations. Physical Review B, 2010, 81, 092102. DOI: 10.1103/PhysRevB.81.092102.
  18. Available at: arXiv:cond-mat/0504077 [cond-mat.supr-con]
  19. Hellwege, K.-H. and Madelung, O., eds. Phonon States of Elements. Electron States and Fermi Surfaces of Alloys, Landolt-Börnstein, New Series, Group III, 13, Pt. a., Berlin, SpringerVerlag, 1981.
  20. Koči, L., Ma, Y., Oganov, A. R., Souvatzis, P., and Ahuja, R. Elasticity of the superconducting metals V, Nb, Ta, Mo, and W at high pressure. Physical Review B, 2008, 77 (21), 214101. DOI: 10.1103/PhysRevB.77.214101.
  21. Söderlind, P., Eriksson, O., Wills, J.M, and Boring, A.M. Theory of elastic constants of cubic transition metals and alloys. Physical Review B, 1993, vol. 48, 5844.
  22. Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology, New Series, ed. by O. Madelung, Group III: Crystal and Solid State Physics, vol. 14: Structure Data of Elements and Intermetallic Phases, Springer Verlag, Berlin, 1988.
  23. Katahara, K.W., Manghnani, M.H., and Fisher, E. Elastic moduli of paramagnetic chromium and Ti–V–Cr alloys. Journal of Physics F: Metal Physics, 1979, 9, 773. DOI: 10.1088/0305-4608/9/11/008.
  24. James, A.M. and Lord, M.P. Macmillan’s Chemical and Physical Data, Macmillan, London, UK, 1992.


PDF      

Article reference

Kuznetsov A. R., Starikov S. A. The Bain and Orthorhombic Paths of the Bcc–fcc Transformation in a Bcc Metal // Diagnostics, Resource and Mechanics of materials and structures. - 2023. - Iss. 6. - P. 35-44. -
DOI: 10.17804/2410-9908.2023.6.035-044. -
URL: http://eng.dream-journal.org/issues/content/article_423.html
(accessed: 05/09/2024).

 

impact factor
RSCI 0.42

 

MRDMS 2024
Google Scholar


NLR

 

Founder:  Institute of Engineering Science, Russian Academy of Sciences (Ural Branch)
Chief Editor:  S.V. Smirnov
When citing, it is obligatory that you refer to the Journal. Reproduction in electronic or other periodicals without permission of the Editorial Board is prohibited. The materials published in the Journal may be used only for non-profit purposes.
Contacts  
 
Home E-mail 0+
 

ISSN 2410-9908 Registration SMI Эл № ФС77-57355 dated March 24, 2014 © IMACH of RAS (UB) 2014-2024, www.imach.uran.ru