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The Nonlinear Theory of Quasi-Solid States of Micropolar Elastic Bodies

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Abstract

A nonlinear theory of quasi-solid states of micropolar elastic bodies is proposed. Quasi-solid states are a three-dimensional analog of the surface bending and are possible only with distributed dislocations. Exact solutions to the problems of strong bending and torsion of micropolar bodies under quasi-solid state conditions are determined. It is established that, in contrast to the linear theory, the nonlinear one admits the existence of self-balanced quasi-solid states.

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Correspondence to A. A. Zelenina or L. M. Zubov.

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Translated by E. Oborin

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Zelenina, A.A., Zubov, L.M. The Nonlinear Theory of Quasi-Solid States of Micropolar Elastic Bodies. Dokl. Phys. 65, 131–135 (2020). https://doi.org/10.1134/S1028335820040096

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  • DOI: https://doi.org/10.1134/S1028335820040096

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