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Unbending of Curved Tube by Internal Pressure

  • Alexei M. KolesnikovEmail author
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 15)

Abstract

In this work the effect of the unbending of a curved tube under a uniform normal pressure is investigated. The problem is considered within the framework of the nonlinear membrane theory. It is shown that the inflation of a curved tube is the special case of pure bending. The tube with a circular cross section made of a Mooney-Rivlin material is studied numerically. The dependencies between the curvature of the centerline of deformed curved tube and the internal pressure are obtained. It is found that there are the maximum pressures for the considered materials.

Keywords

Nonlinear elasticity Membrane Curved tube Curved tube 

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Notes

Acknowledgements

This research was supported by the President of the Russian Federation (grant MK-439.2011.1).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Southern Federal University, ul. MilchakovaRussiaRussia

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