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Structural Engineering and Mechanics Volume 58, Number 4, May25 2016 , pages 689-705 DOI: https://doi.org/10.12989/sem.2016.58.4.689 |
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Stress analysis of rotating annular hyperbolic discs obeying a pressure-dependent yield criterion |
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Woncheol Jeong and Kwansoo Chung
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| Abstract | ||
| The Drucker-Prager yield criterion is combined with an equilibrium equation to provide the elastic-plastic stress distribution within rotating annular hyperbolic discs and the residual stress distribution when the angular speed becomes zero. It is verified that unloading is purely elastic for the range of parameters used in the present study. A numerical technique is only necessary to solve an ordinary differential equation. The primary objective of this paper is to examine the effect of the parameter that controls the deviation of the Drucker-Prager yield criterion from the von Mises yield criterion and the geometric parameter that controls the profile of hyperbolic discs on the stress distribution at loading and the residual stress distribution. | ||
| Key Words | ||
| rotating annular disc; variable thickness; plastic yielding; Drucker-Prager yield criterion | ||
| Address | ||
| Woncheol Jeong: Department of Materials Science and Engineering, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea Kwansoo Chung: Department of Materials Science and Engineering, Research Institute of Advanced Materials, Engineering Research Institute, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea | ||