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Discontinuity Surfaces in Elasto-Visco-Plastic Media

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Encyclopedia of Continuum Mechanics

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Synonyms

Propagation of discontinuity surfaces of strong and weak discontinuity in elasto-visco-plastic media

Definitions

Surfaces of weak and strong discontinuity in elasto-visco-plastic media are the transient waves carrying the jumps in the field parameters on the wave front; in so doing the magnitudes of plastic deformations should be continuous on the surface.

Preliminary Remarks

Propagation and attenuation of weak and strong discontinuities in a viscoelastoplastic medium have been investigated under the Mises yield condition in Bykovtsev and Verveiko (1966), wherein it has been shown that two types of waves could exist in such a medium: irrotational and equivoluminal, their velocities of propagation have been calculated, and relationships describing the variation in wave intensity during propagation have been derived.

In the present entry, the behavior of strong and weak discontinuities in the same sort of a medium under the Tresca yield condition and the maximal reduced stress...

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References

  • Bykovtsev GI, Ivlev DD (1998) Theory of plasticity. Vladivostok, Dal’nauka

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  • Bykovtsev GI, Verveiko ND (1966) Wave propagation in a viscoelastoplastic medium (in Russian). Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela 4:111–123

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  • Rossikhin YA (1969) Wave propagation in a viscoelastoplastic medium. Sov Appl Mech 5(5):512–517. https://doi.org/10.1007/BF00887338

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  • Thomas TY (1961) Plastic flow and fracture in solids. Academic Press, New York/London

    MATH  Google Scholar 

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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). Discontinuity Surfaces in Elasto-Visco-Plastic Media. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_105-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_105-1

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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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