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Acta Mechanica

, Volume 226, Issue 3, pp 917–930 | Cite as

Multi-scale model of steady-wave shock in medium with relaxation

  • D. A. Indeitsev
  • Yu. I. Meshcheryakov
  • A. Yu. Kuchmin
  • D. S. VavilovEmail author
Article

Abstract

The propagation of a steady wavefront in a medium with three levels of plastic deformation is considered: (a) dislocation, (b) meso-scale and (c) macro-scale. To take into account collective mechanisms of microplasticity, a relaxation term describing the momentum exchange between meso- and macro scales is incorporated into a dislocation-based constitutive law. This leads to a nonlinear second-order differential equation. Analytical and numerical analyses of the equation are performed. Using as example D16 aluminum alloy, we determine the parameters that provide a satisfactory correspondence between calculated and experimental profiles of particle velocity.

Keywords

Particle Velocity Impact Velocity Shock Front Heterogeneous Medium Shock Compression 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 2014

Authors and Affiliations

  • D. A. Indeitsev
    • 1
  • Yu. I. Meshcheryakov
    • 2
  • A. Yu. Kuchmin
    • 2
  • D. S. Vavilov
    • 2
    Email author
  1. 1.Saint-Petersburg State Polytechnic UniversitySaint-PetersburgRussia
  2. 2.Institute of Problems of Mechanical Engineering RASSaint-PetersburgRussia

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