ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Bachurin D. V., Murzaev R. T. Delocalized nonlinear vibrational modes and their effect on the properties of binary NiTi alloy. Izvestiya VUZ. Applied Nonlinear Dynamics, 2026, vol. 34, iss. 1, pp. 98-115. DOI: 10.18500/0869-6632-003198, EDN: LKYLUV

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182
DOI: 
10.18500/0869-6632-003198
EDN: 
LKYLUV

Delocalized nonlinear vibrational modes and their effect on the properties of binary NiTi alloy

Autors: 
Bachurin Dmitry Vladimirovich, Institute of Problems of Metal Superplasticity RAS
Murzaev Ramil Tukhfatovich, Institute of Problems of Metal Superplasticity RAS
Abstract: 

The purpose of this work is to investigate the behavior of stable one-component delocalized nonlinear vibrational modes in simple cubic titanium and nickel sublattices, as well as their influence on the properties of the binary NiTi alloy.

Methods. All calculations were performed using the molecular dynamics method with many-body interatomic potentials.

Results. Seventeen vibrational modes are shown to exhibit stable periodic oscillations. Most of them demonstrate a hard type of nonlinearity, where the frequency of atomic vibrations increases with amplitude. Stable modes are capable of accumulating energy in the range of 0.1–1.5 eV per atom in the titanium sublattice and 0.1–1.0 eV per atom in the nickel sublattice. Excitation of vibrational modes in the Ni and Ti sublattices leads to a decrease in specific heat for modes with hard type of nonlinearity and to an increase for modes with soft type of nonlinearity. The presence of modes leads to the emergence of positive compressive stresses, the magnitude of which is proportional to the atomic displacement vector.

Conclusion. The obtained results provide new insights into the complex behavior of vibrational modes and their impact on the properties of the binary NiTi alloy.

Key words: 
binary NiTi alloy
delocalized nonlinear vibrational modes
nonlinear dynamics
molecular dynamics modeling
Acknowledgments: 
The work was accomplished in terms of the State Assignment of the Institute for Metals Superplasticity Problems of the Russian Academy of Sciences financed by the Ministry of Science and Higher Education of the Russian Federation, Registration No. 124022900108-3.
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Received: 
23.09.2025
Accepted: 
24.10.2025
Available online: 
24.10.2025
Published: 
30.01.2026
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