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Dynamic Equations, Verification of Hyperbolicity via the Theory of Discontinuities

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  • First Online:
Encyclopedia of Continuum Mechanics

  • 110 Accesses

Synonyms

Hyperbolic elasticity, Theory of discontinuities, Thin-walled structures, Transient wave propagation

Definitions

The theory of discontinuities and dynamic conditions of compatibility are useful tools for checking for the hyperbolicity of equations describing the dynamic behavior of thin-walled structures.

Backgrounds and Some Historical Remarks

Thin-walled beams of open section are extensively used as structural components in different structures in civil, mechanical, and aeronautical engineering fields. These structures have to resist dynamic loads such as wind, traffic, and earthquake loadings, so that the understanding of the dynamic behavior of the structures becomes increasingly important. Ship hulls also can be modeled as thin-walled girders during investigation of hydroelastic response of large container ships in waves (Senjanović et al., 2009).

The classical engineering theory of thin-walled uniform straight and horizontally curved beams of open cross section was...

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Author information

Authors and Affiliations

  1. Voronezh State Technical University, Voronezh, Russia

    Yury A. Rossikhin

  2. Research Center on Dynamics of Solids and Structures, Voronezh State Technical University, Voronezh, Russia

    Marina V. Shitikova

Authors
  1. Yury A. Rossikhin
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  2. Marina V. Shitikova
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Corresponding author

Correspondence to Marina V. Shitikova .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, QLD, Australia

    Andreas Öchsner

Section Editor information

  1. Research Center on Dynamics of Solids and Structures, Voronezh State Technical University, Voronezh, Russia

    Marina V. Shitikova

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Rossikhin, Y.A., Shitikova, M.V. (2019). Dynamic Equations, Verification of Hyperbolicity via the Theory of Discontinuities. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_106-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_106-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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