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Change of Accumulation Mechanisms of Irreversible Deformations of Materials in an Example of Viscometric Deformation

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Abstract

Within the framework of the model of large deformations, the deformation of a material exhibiting elastic, viscous, and plastic properties and placed between two rigid cylinders is investigated when turning the internal cylinder. The accumulation of irreversible deformations prior to the onset of plastic flow and upon its termination is associated with creep. Reversible and irreversible deformations according to the model in question are determined by differential transport equations. To calculate the displacement fields, stresses, and reversible, irreversible, and complete deformations, a system of partial differential equations is obtained, for which a finite-difference scheme is constructed.

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Authors and Affiliations

  1. Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041, Russia

    A. S. Begun & L. V. Kovtanyuk

  2. Far East Federal University, ul. Sukhanova 8, Vladivostok, 690000, Russia

    L. V. Kovtanyuk & A. O. Lemza

Authors
  1. A. S. Begun
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  2. L. V. Kovtanyuk
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  3. A. O. Lemza
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Corresponding author

Correspondence to L. V. Kovtanyuk.

Additional information

Original Russian Text © A.S. Begun, L.V. Kovtanyuk, A.O. Lemza, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 1, pp. 103–112.

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Begun, A.S., Kovtanyuk, L.V. & Lemza, A.O. Change of Accumulation Mechanisms of Irreversible Deformations of Materials in an Example of Viscometric Deformation. Mech. Solids 53, 85–92 (2018). https://doi.org/10.3103/S0025654418010107

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  • DOI: https://doi.org/10.3103/S0025654418010107

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