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Nonlinear effects during the tension, bend, and torsion of elastic bodies with distributed dislocations

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Abstract

A series of exact solutions of the problems on large deformations of three-dimensional nonlinearly elastic bodies with distributed dislocations is found. The tension-compression of the prismatic bodies with the distributed straight-linear screw dislocations is investigated. The influence of the distributed screw dislo- cations of the radial direction of the torsion and extension of the circular cylinders under large deformations is investigated. The problem on the strong bend of the rectangular bar containing distributed edge dislocations is solved. It is established that nonuniform rotation fields can occur at zero stresses in a body with continu- ously distributed dislocations.

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Authors and Affiliations

  1. South Federal University, ul. Bol’shaya Sadovaya 105/42, Rostov-on-Don, 344006, Russia

    A. A. Zelenina & L. M. Zubov

Authors
  1. A. A. Zelenina
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  2. L. M. Zubov
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Correspondence to A. A. Zelenina.

Additional information

Original Russian Text © A.A. Zelenina, L.M. Zubov, 2013, published in Doklady Akademii Nauk, 2013, Vol. 451, No. 5, pp. 516–519.

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Zelenina, A.A., Zubov, L.M. Nonlinear effects during the tension, bend, and torsion of elastic bodies with distributed dislocations. Dokl. Phys. 58, 354–357 (2013). https://doi.org/10.1134/S1028335813080089

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  • DOI: https://doi.org/10.1134/S1028335813080089

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