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On Dynamic Model of Structural Transformations in Solids

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Nonlinear Wave Dynamics of Materials and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 122))

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Abstract

A two-component model of material with a nonlinear internal interaction force is proposed for describing its structural transformations. An analogy between the equations of a continuous medium and their discrete representation allows demonstrating the effect of quenching of a non-stationary wave, caused by the transfer of energy to internal degrees of freedom. The parameters of the external impact at which the transformation of crystalline lattice takes place are determined. Analytical results are compared with numerical calculations, performed by using the finite difference method.

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, V.O., Bolshoi pr., 61, St. Petersburg, 199178, Russian Federation

    Dmitry A. Indeitsev, Boris N. Semenov, Dmitry Yu. Skubov & Dmitry S. Vavilov

  2. St. Petersburg University, Universitetskaya Naberezhnaya, 13B, St. Petersburg, 199034, Russian Federation

    Dmitry A. Indeitsev & Boris N. Semenov

  3. St. Petersburg Polytechnic University Peter the Great, Polytechnicheskaya, 29, St. Petersburg, 195251, Russian Federation

    Dmitry A. Indeitsev, Boris N. Semenov & Dmitry Yu. Skubov

  4. Mozhaisky Military Space Academy, Zhdanovskaya 13, St. Petersburg, 197198, Russian Federation

    Dmitry S. Vavilov

Authors
  1. Dmitry A. Indeitsev
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  2. Boris N. Semenov
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  3. Dmitry Yu. Skubov
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  4. Dmitry S. Vavilov
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Corresponding author

Correspondence to Dmitry S. Vavilov .

Editor information

Editors and Affiliations

  1. Faculty of Mechanical Engineering, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

  3. Mechanical Engineering Research Institute of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    Igor S. Pavlov

  4. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia

    Alexey V. Porubov

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Indeitsev, D.A., Semenov, B.N., Skubov, D.Y., Vavilov, D.S. (2020). On Dynamic Model of Structural Transformations in Solids. In: Altenbach, H., Eremeyev, V., Pavlov, I., Porubov, A. (eds) Nonlinear Wave Dynamics of Materials and Structures. Advanced Structured Materials, vol 122. Springer, Cham. https://doi.org/10.1007/978-3-030-38708-2_11

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  • DOI: https://doi.org/10.1007/978-3-030-38708-2_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-38707-5

  • Online ISBN: 978-3-030-38708-2

  • eBook Packages: EngineeringEngineering (R0)

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