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Elastic and Inelastic Stress Waves

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Encyclopedia of Continuum Mechanics

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Synonyms

Elastic waves of stresses

Definition

The elastic waves are divided on displacement, strain, stress, and energy waves, but they are studied mainly as the displacement waves. The elastic displacement wave is defined in elastic continuum as the displacement propagating in space and time from one part of space to another one with finite velocity of propagation. Achenbach (1973), Babich and Kiselev (2014), Bedford and Drumheller (1994), Chen (1972), Dieulesaint and Royer (1974), Drumheller (1998), Fedorov (1968), Graff (1991), Graham (1993), Gurtin (1981), Guz (2016), Harris (2001), Hudson (1980), Lempriere (2002), Lur’e (1990), Maugin (2000), Miklowitz (1978), Nigul and Engelbrecht (1972), Royer and Dieulesaint (2000), Rushchitsky (2011, 2014), Sedov (1970), Slepian (1972), Tolstoy (1973), Viktorov (1967), Wasley (1973), Wesolowski (1974), Whitham (1974). A transition to the stress waves is possible if only the continuum model of elastic deformation is chosen which takes into...

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Author information

Authors and Affiliations

  1. S.P. Timoshenko Institute of Mechanics|, Kyiv, Ukraine

    J. J. Rushchitsky

  2. Physical-Mathematical Faculty, Igor Sikorsky National Technical University of Ukraine “KPI”, Kyiv, Ukraine

    J. J. Rushchitsky

Authors
  1. J. J. Rushchitsky
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Correspondence to J. J. Rushchitsky .

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. The University of Edinburgh - School of Engineering, Edinburgh, UK

    Filipe Teixeira-Dias Ph.D

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Rushchitsky, J.J. (2018). Elastic and Inelastic Stress Waves. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_220-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_220-1

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  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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