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Investigation of Initial Stresses’ Influence on Surface Wave Field in Bulk Metallic Glass Layer

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Advanced Materials

Part of the book series: Springer Proceedings in Materials ((SPM,volume 6))

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Abstract

The role of elastic moduli of the fourth order in the investigation of the dynamic characteristics of prestressed bodies made of materials that allow large static deformations is studied. The studies were carried out in the Lagrange coordinate system. Linearized defining relations and equations of motion of a prestressed medium are used, which allow us to consider nonlinear effects of the “second” and “third” orders. On the example of the problem of the propagation of shear harmonic oscillations, the influence of the initial stresses on the propagation velocity of surface waves is studied. Two, five, and nine constant models of a prestressed layer made of palladium-based bulk metal glass are considered. The results obtained in the framework of various models are compared. The difference of the effect of initial stresses on the velocities and critical output frequencies of the higher modes of surface waves, calculated with and without higher order moduli, is shown. A significant effect of the magnitude of the initial stresses is established for uniaxial and biaxial initial stress states.

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Acknowledgements

The work was prepared during the competitive part of the state assignment of the Russian Ministry of Education and Science under project No. 9.1001.2017/4.6 with partial financial support from the Russian Foundation for Basic Research (projects 19-08-01051, 19-48-230042, 19-01-00719 and 18-08-01012).

Author information

Authors and Affiliations

  1. Southern Scientific Center of Russian Academy of Sciences, Rostov-on-Don, Russia

    T. I. Belyankova & V. V. Kalinchuk

  2. I. I. Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, Russia

    T. I. Belyankova & V. V. Kalinchuk

  3. Don State Technical University, Rostov-on-Don, Russia

    E. I. Vorovich & O. M. Tukodova

Authors
  1. T. I. Belyankova
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  2. E. I. Vorovich
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  3. V. V. Kalinchuk
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  4. O. M. Tukodova
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Corresponding author

Correspondence to T. I. Belyankova .

Editor information

Editors and Affiliations

  1. I. I. Vorovich Mathematics, Mechanics and Computer Sciences Institute, Southern Federal University, Rostov-on-Don, Russia

    Ivan A. Parinov

  2. Department of Microelectronics Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan

    Shun-Hsyung Chang

  3. School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam

    Banh Tien Long

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Belyankova, T.I., Vorovich, E.I., Kalinchuk, V.V., Tukodova, O.M. (2020). Investigation of Initial Stresses’ Influence on Surface Wave Field in Bulk Metallic Glass Layer. In: Parinov, I., Chang, SH., Long, B. (eds) Advanced Materials. Springer Proceedings in Materials, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-030-45120-2_28

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