Analytical Solution for Axisymmetric Active Earth Pressure Based on the Characteristics Method considering Orthoradial Geometric Condition
Publication: International Journal of Geomechanics
Volume 19, Issue 9
Abstract
The current analytical solutions for axisymmetric active earth pressure are based on certain hypothetical relationships between the circumferential stress, the average stress of the meridional plane, and the main shear stress of the meridional plane. To get a stricter analytical solution, the strict mathematical relationship between them is derived based on the circumferential geometric condition, plastic flow theory, and plastic potential theory in this study. A new axisymmetric characteristics theory, which takes into account the friction angle, the dilatation angle of the soil, and the flow velocity, is established. A new analytical solution for axisymmetric active earth pressure is derived based on the new axisymmetric characteristics theory and the hypothesis of the active static state. The solutions developed in this study and the active static-state hypothesis are demonstrated to be reasonably accurate compared with a set of experimental data obtained from the literature. Various comparative analyses were conducted, and many interesting conclusions are obtained; it is found that the analytical solution is greater than the numerical solution. The analytical and numerical solutions for pressure caused by surcharge and weight fall between the solutions of Berezantzev () and Cheng (), whereas the analytical and numerical solutions for pressure caused by cohesion are greater than those of Berezantzev and Cheng.
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Acknowledgments
This research was funded by a project supported by the National Natural Science Foundation of China (Subject codes 51678360 and 41330633) and by a project supported by the National Basic Research Program of China (Subject code 2014CB046302).
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Published In
International Journal of Geomechanics
Volume 19 • Issue 9 • September 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Jan 19, 2018
Accepted: Nov 7, 2018
Published online: Jun 18, 2019
Published in print: Sep 1, 2019
Discussion open until: Nov 18, 2019
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