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Relationship of a gauge model of an elasto-plastic medium to the Mindlin theory

  • Solid-State Physics
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Russian Physics Journal Aims and scope

Abstract

We examine the relationship between the simplest gauge model of a material with the Mindlin theory that takes into account microstructure in linear elasticity. We establish a connection between the dynamical equations for the two models. The connection allows us to relate an unknown material constant in the gauge Lagrangian to the inertial properties of the structural elements. We obtain an estimate of the unknown constant and the corresponding characteristic frequency for the dimensions of elements with different structural levels of deformation.

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Authors
  1. Yu. V. Grinyaev
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  2. N. V. Chertova
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Additional information

Institute of Strength Physics and Materials Research, Russian Academy of Sciences, Siberian Branch. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 44–48, April, 1994.

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Grinyaev, Y.V., Chertova, N.V. Relationship of a gauge model of an elasto-plastic medium to the Mindlin theory. Russ Phys J 37, 343–347 (1994). https://doi.org/10.1007/BF00560217

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  • DOI: https://doi.org/10.1007/BF00560217

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