Analysis of Expanded Radius and Internal Expanding Pressure for Undrained Cylindrical Cavity Expansion
Publication: International Journal of Geomechanics
Volume 18, Issue 2
Abstract
Solutions for cylindrical cavity expansion have been studied widely in many aspects, but the analysis of expanded radius and internal expanding pressure is rarely found. In practical engineering, it is of great significance to determine the relationship of the initial expanded radius (a0) and expanding pressure (p). Based on the unified strength theory (UST), a theoretical relationship among the initial radius (a0), the expanded radius (a), and the expanding pressure (p) of the cylindrical cavity was derived under the condition of nondrainage. By using the theoretical relationship obtained, the limit expanding pressure (pu) and the stress and displacement fields were achieved, as well as the plastic-zone radius (rp). The influence of the intermediate principal stress coefficient (b) on stress fields and expanding pressure (pu) is also discussed. A parametric study showed that the stress and displacement fields in undrained conditions are only related to the initial radius (a0) and the expanding pressure (p), and the expanded radius (a) is a function of the expanding pressure (p) under a given initial radius (a0). In addition, the effect of intermediate principal stress on the pu is nonnegligible, whereas the effect on the stress is limited. At last, the validation of the proposed theoretical solution was demonstrated by comparing with the conventional theoretical solution and field test results.
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Acknowledgments
The authors are grateful for the financial support provided by the National Natural Science Foundation of China (Grants 41672265, 41272295, and 41572262) and the Shanghai Rising-Star Program (Grant 17QC1400600) for this research work. The anonymous reviewers’ comments have improved the quality of this paper and are also greatly acknowledged.
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© 2017 American Society of Civil Engineers.
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Received: Apr 20, 2017
Accepted: Aug 8, 2017
Published online: Nov 17, 2017
Published in print: Feb 1, 2018
Discussion open until: Apr 17, 2018
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