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Fractional Derivative Timoshenko Beams and Uflyand-Mindlin Plates, Impact Response

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Encyclopedia of Continuum Mechanics

Synonyms

Impact response of viscoelastic Timoshenko-type beams and Uflyand-Mindlin-type plates described via fractional calculus models

Definitions

The problem on low-velocity impact of a viscoelastic spherical or cylindrical impactor upon viscoelastic Timoshenko-type beams and Uflyand-Mindlin-type plates has been formulated for the case, when the viscoelastic features of a viscoelastic impactor and a target are described by the fractional derivative standard linear solid model.

Preliminary Remarks

The problems connected with the analysis of the shock interaction of thin bodies (rods, beams, plates, and shells) with other bodies have widespread application in various fields of science and technology. The physical phenomena involved in the impact event include structural responses, contact effects, and wave propagation. These problems are topical not only from the point of view of fundamental research in applied mechanics but also with respect to their applications. Because these...

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References

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Author information

Authors and Affiliations

  1. Research Center for Wave Dynamics of Solids and Structures, 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. Otto-von-Guericke University Magdeburg, Chair of Engineering Mechanics, Institut, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät für Maschinenbau, Hochschule Esslingen, Esslingen am Neckar, Baden-Württemberg, Germany

    Andreas Öchsner

Section Editor information

  1. Research Center for Wave Dynamics of Solids and Structures, 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

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Rossikhin†, Y.A., Shitikova, M.V. (2020). Fractional Derivative Timoshenko Beams and Uflyand-Mindlin Plates, Impact Response. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_87-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_87-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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