Closed-Form Solution for Undrained Cavity Expansion in Anisotropic Soil Mass Based on Spatially Mobilized Plane Failure Criterion
Publication: International Journal of Geomechanics
Volume 19, Issue 7
Abstract
A closed-form solution for the undrained cavity expansion problem in an anisotropic soil mass is investigated based on the spatially mobilized plane (SMP) model in this study. Stress and strain around the cavity are subdivided into elastic and plastic regions. The small-strain theory in the elastic region and the large-strain theory in the plastic region are assumed in the closed-form solution, respectively. The closed-form solution is derived by introducing the stress anisotropy factor into the traditional solution in the undrained cavity expansion condition. Stress and strain in the elastic and plastic regions, plastic radius, effective stress, and limited expanding pressure are obtained considering the stress anisotropy and undrained condition. The validity of the presented solution is verified by comparing the prediction with the previous cases. Finally, parametric analysis is performed to investigate the effect of stress anisotropy on the plastic radius, effective stress, and strain in the plastic region.
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Acknowledgments
This work was supported by the National Basic Research Program of China (973 project) (Grant 2013CB036004) and the National Natural Science Foundation of China (grant 51208523). The first author thanks Project 2018zzts188 supported by Innovation Foundation for Postgraduate of the Central South University. The editor’s and anonymous reviewers’ comments have improved the quality of the study and are also greatly acknowledged.
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Published In
International Journal of Geomechanics
Volume 19 • Issue 7 • July 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Jun 19, 2018
Accepted: Jan 29, 2019
Published online: May 8, 2019
Published in print: Jul 1, 2019
Discussion open until: Oct 8, 2019
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