A. R. Kuznetsov, S. A. Starikov, V. V. Sagaradze
PHONON INSTABILITIES IN A METAL ON THE BAIN FCC–BCC TRANSFORMATION PATH
DOI: 10.17804/2410-9908.2022.6.086-094 In this paper, the energy of the Bain path in Al and the instability of phonons during uniaxial compression deformation along <001> are studied ab initio. It is shown that, at a strain of about 15%, dynamic loss of structure stability is observed due to short-wavelength phonons, which thus determine the theoretical strength of Al. Deformation causes shifts along the {111} planes of the initial fcc cell, leading to the formation of stacking faults. A similar formation of stacking faults was observed in [1] in the framework of simulation of compression along the <001> Ni3Al nanoparticle (L12 superstructure based on the fcc structure). The results obtained can be applied to situations in the experiment, when small defect-free regions are deformed, for example, as in nanostructured materials and during nanoindentation.
Acknowledgments: The work was performed under the state assignment from the Russian Ministry of Education and Science, theme Structure, No. 122021000033-2. The calculations were made with the use of the Uran supercomputer, IMM UB RAS. Keywords: first-principle calculation, Bain deformation, phonon spectrum, structure stability References:
- Kuznetsov A.R., Starikov S.A., Sagaradze V.V., Karkina L.E. Deformation-induced dissolution of Ni3Al particles in nickel: Atomistic simulation. Physics of Metals and Metallography, 2019, vol. 120, No. 12, pp. 1286–1291. DOI: 10.1134/S0031918X19120093.
- Bain E.C. The Nature of Martensite. Trans. AIME, 1924, vol. 70, pp. 25–35.
- Okatov S.V., Kuznetsov A.R., Gornostyrev Yu.N., Urtsev V.N., 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, vol. 79, No. 9, pp. 094111–094115. DOI: 10.1103/RevModPhys.84.945.
- Grimvall G., Magyari-Kope B., Ozolins V., Persson K.A. Lattice instabilities in metallic elements. Review Modern Physics, 2012, vol. 84, No. 3, pp. 945–986. DOI: 10.1103/PhysRevB.79.094111.
- Clatterbuck D.M., Krenn C.R., Marvin L. Cohen, Morris J.W., Jr. Phonon instabilities and the ideal strength of aluminum. Physical Review Letters, 2003, vol. 91, No. 13, pp. 135501–135504. DOI: 10.1103/PhyaRevLett.91.135501.
- Pokluda J., Cern M., Sandera P., Sob M. Calculations of theoretical strength: State of the art and history. Journal of Computer-Aided Materials Design, 2004, vol. 11, pp. 1–28. DOI: 10.1007/s10820-004-4567-2.
- Pokluda J., Cerny M., Sob M., Umeno Y. Ab initio calculations of mechanical properties: Methods and applications. Progress in Materials Science, 2015, vol. 73, pp. 127–158. DOI: 10.1016/j.pmatsci.2015.04001.
- Li Ju., Yip S. Atomistic Measures of Materials Strength. Comput. Model. Eng. Sci., 2002, vol. 3, pp. 219. DOI: 10.3970/cmes.2002.003.219.
- Gouldstone A., Koh H.J., Zeng K.Y., Giannakopoulos A.E., Suresh S. Discrete and continuous deformation during nanoindentation of thin films. Acta Materialia, 2000, vol. 48, No. 9, pp. 2277–2295. DOI: 10.1016/S1359-6454(00)00009-4.
- De la Fuente O.R., Zimmerman J.A., Gonzales M.A., De la Figuera J., Hamilton J.C., Pai W.W., 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, vol. 88, No. 3, pp. 036101–036104. DOI: 10.1103/PhysRevLett.88.036101.
- L.L. Chang, K. Plog, eds. Molecular Beam Epitaxy and Heterostructures, Dordrecht, Boston, Lancaster, Martinus Nijhoff Publishers, 1985, 700 p. ISBN-13: 978-94-010-8744-5. DOl: 10.1007/978-94-009-5073-3.
- Kimminau G., Erhart P., Bringa E.M., Remington B., Wark J.S. Phonon instabilities in uniaxially compressed fcc metals as seen in molecular dynamics simulations. Physical Review B, 2010, vol. 81, pp. 092102. DOI: 10.1103/PhysRevB.81.092102.
- Stedman R., Nilsson G. Dispersion Relations for Phonons in Aluminum at 80 and 300 K. Physical Review, 1966, vol. 145, No. 2, pp. 492–500. DOI: 10.1103/PhysRev.145.492.
- Alippi P., Marcus P.M., Scheffler M. Strained tetragonal states and Bain paths in metals. Physical Review Letters, 1997, vol. 78, No. 20, pp. 3892–3895. DOI: 10.1103/PhysRevLett.78.3892.
- Marcus P.M., Qiu S.L. Equilibrium lines and crystal phases under pressure. Journal of Physics: Condensed Matter., 2009, vol. 21, pp. 125404–125408. DOI: 10.1088/0953-8984/21/12/125404.
Article reference
Kuznetsov A. R., Starikov S. A., Sagaradze V. V. Phonon Instabilities in a Metal on the Bain Fcc–bcc Transformation Path // Diagnostics, Resource and Mechanics of materials and structures. -
2022. - Iss. 6. - P. 86-94. - DOI: 10.17804/2410-9908.2022.6.086-094. -
URL: http://eng.dream-journal.org/issues/content/article_385.html (accessed: 11/21/2024).
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