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Features of Solving Triple Shear in the Endochronic Theory of Inelasticity Accounting for Large Deformations

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Abstract

The problem of rigid triple shear is solved in the framework of the endochronic theory of inelasticity with account for finite deformations. The numerical implementation of the algorithm for determining the orthogonal rotation tensor and vortex tensor is proposed. The strain tensor is constructed on their basis. Simultaneously, the strain tensor is calculated with a direct numerical method. The corresponding strain components obtained with both methods are compared and analyzed.

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Authors and Affiliations

  1. Budyonny Military Telecommunication Academy, St. Petersburg, 194064, Russia

    T. A. Zabavnikova

  2. State University of Aerospace Instrumentation, St. Petersburg, 190000, Russia

    S. P. Pomytkin

Authors
  1. T. A. Zabavnikova
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  2. S. P. Pomytkin
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Corresponding authors

Correspondence to T. A. Zabavnikova or S. P. Pomytkin.

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Zabavnikova, T.A., Pomytkin, S.P. Features of Solving Triple Shear in the Endochronic Theory of Inelasticity Accounting for Large Deformations. Vestnik St.Petersb. Univ.Math. 52, 214–219 (2019). https://doi.org/10.1134/S1063454119020146

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  • DOI: https://doi.org/10.1134/S1063454119020146

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