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Plastic bending of the waveguide tubes with rectangular cross-section

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, , Citation I V Kudryavtsev et al 2020 J. Phys.: Conf. Ser. 1515 042068 DOI 10.1088/1742-6596/1515/4/042068

1742-6596/1515/4/042068

Abstract

This paper focuses on a new mathematical model of plastic bending of waveguide tubes with rectangular cross-section. The analysis of the known approaches and decisions is carried out, their shortcomings are shown and a new model of a thin-walled waveguide on the basis of the theory of plates and shells is offered. The solution is obtained by combining the semi-inverse Saint-Venant method and Airy functions. The received solution allows to generalize the available private solutions and have good agreement with known private empirical dependences for a plastic bending of tubes with rectangular cross-section.

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10.1088/1742-6596/1515/4/042068