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Relationship between the elastic–plastic interface radius and internal pressure of thick-walled cylinders using the Lambert W function

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Abstract

It is necessary to determine the elastic–plastic interface radius before calculating the stresses in elastic-perfectly plastic thick-walled cylinders under internal pressure. The relationship between the radius and internal pressure is expressed by a transcendental equation in the existing literature. In this paper, we show that the radius can be explicitly expressed as a function of the internal pressure in terms of the Lambert W function, and it is very simple to use this expression to determine the values of the radius with the help of computer algebra systems.

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Authors and Affiliations

  1. School of Civil Engineering, Hunan University of Science and Technology, Xiangtan, Hunan, 411201, People’s Republic of China

    Hui Hu, Yuan-Jun Guo & Da-Qing Xu

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  1. Hui Hu
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  2. Yuan-Jun Guo
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  3. Da-Qing Xu
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Correspondence to Hui Hu.

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Hu, H., Guo, YJ. & Xu, DQ. Relationship between the elastic–plastic interface radius and internal pressure of thick-walled cylinders using the Lambert W function. Arch Appl Mech 83, 643–646 (2013). https://doi.org/10.1007/s00419-012-0699-0

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  • DOI: https://doi.org/10.1007/s00419-012-0699-0

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