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Coupling of an elastoplastic continuum and a Cosserat continuum

  • Solid-State Physics
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Russian Physics Journal Aims and scope

Abstract

It is shown by a dissipative generalization of the dynamic gage theory of crystalline media that the symmetric part of the plastic distortion tensor of an elastoplastic medium is suppressed in the low-frequency limit due to the high energy of the elastic stresses present in the medium. Full displacements and plastic rotations are the only motions excited at low frequencies, so that a crystalline medium turns out to be equivalent to a Cosserat continuum. The equations of motion of this continuum are obtained as a low-frequency approximation of the complete equations of dynamic gage theory.

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Authors
  1. V. L. Popov
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Additional information

Institute of Strength Physics and Materials Research. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 37–43, April, 1994.

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Popov, V.L. Coupling of an elastoplastic continuum and a Cosserat continuum. Russ Phys J 37, 337–342 (1994). https://doi.org/10.1007/BF00560216

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  • DOI: https://doi.org/10.1007/BF00560216

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