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

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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.

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Authors and Affiliations

  1. Saint-Petersburg State Polytechnic University, Saint-Petersburg, Russia

    D. A. Indeitsev

  2. Institute of Problems of Mechanical Engineering RAS, Saint-Petersburg, Russia

    Yu. I. Meshcheryakov, A. Yu. Kuchmin & D. S. Vavilov

Authors
  1. D. A. Indeitsev
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  2. Yu. I. Meshcheryakov
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  3. A. Yu. Kuchmin
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  4. D. S. Vavilov
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Correspondence to D. S. Vavilov.

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Indeitsev, D.A., Meshcheryakov, Y.I., Kuchmin, A.Y. et al. Multi-scale model of steady-wave shock in medium with relaxation. Acta Mech 226, 917–930 (2015). https://doi.org/10.1007/s00707-014-1231-0

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  • DOI: https://doi.org/10.1007/s00707-014-1231-0

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