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Title: Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice
Authors: Babicheva, Rita I.
Semenov, Alexander S.
Shcherbinin, Stepan A.
Korznikova, Elena A.
Kudreyko, Aleksey A.
Vivegananthan, Priyanka
Zhou, Kun
Dmitriev, Sergey V.
Keywords: Engineering::Mechanical engineering
Issue Date: 2022
Source: Babicheva, R. I., Semenov, A. S., Shcherbinin, S. A., Korznikova, E. A., Kudreyko, A. A., Vivegananthan, P., Zhou, K. & Dmitriev, S. V. (2022). Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice. Physical Review E, 105(6), 064204-.
Journal: Physical Review E 
Abstract: Delocalized nonlinear vibrational modes (DNVMs) supported in crystal lattices are exact solutions to the equations of motion of particles that are determined by the symmetry of the lattices. DNVMs exist for any vibration amplitudes and for any interparticle potentials. It is important to know how the properties of DNVMs depend on the parameters of interparticle potentials. In this work, we analyze the effect of the Morse potential stiffness on the properties of one-component DNVMs in a face-centered cubic (fcc) lattice. In particular, the frequencies, kinetic and potential energy, mechanical stress, and elastic constants of DNVMs in a large range of vibration amplitudes are considered. Frequency-amplitude dependency obtained for the Morse crystal is compared with that obtained earlier for copper by using the potentials of the many-body embedded atom method. The properties of DNVMs are mainly dictated by their symmetry and are less influenced by the interparticle potentials. It is revealed that at low and high stiffness of interparticle bonds, different sets of DNVMs have frequencies above the phonon band. This is important to predict the possible types of discrete breathers supported by the fcc lattice. The results obtained in the work enrich the understanding of the influence of interparticle potentials on the properties of the studied family of exact dynamic solutions.
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.105.064204
Schools: School of Mechanical and Aerospace Engineering 
Rights: © 2022 American Physical Society. All rights reserved. This paper was published in Physical Review E and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Journal Articles

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