Permanent Displacement Analysis of Multistage Loess Slopes with Multiple Slip Surfaces Based on Energy Methods
Publication: International Journal of Geomechanics
Volume 23, Issue 11
Abstract
As an important basis for slope stability evaluation, the permanent displacement of the slope has been widely used in the seismic design of slope engineering. This paper aims at the situation of multiple slip surfaces and multiple sliding masses in multistage loess slopes under earthquake action. After fully discussing the occurrence of two and three slip surfaces and the successive sliding of each sliding mass of the multistage loess slope under the action of an earthquake, combined with the principle of energy conservation of slope soil and Newmark slider analysis method, the calculation model of multistage loess slope sliding with multiple slip surfaces is established and the calculation method of multistage loess slope sliding with multiple sliders based on energy method is proposed. The positive and negative critical acceleration of each sliding mass is calculated according to the interaction of forces between each sliding mass, and then the influence of slope slip surface inclination and soil parameters on the positive and negative critical acceleration is discussed. Finally, the permanent displacement expression of each sliding mass is obtained by solving the energy equation. The research conclusion is drawn through the verification of an example: the results obtained by the quasi-static method of GEO-Studio (version 2012) numerical simulation software are close to each other, with a difference of 6%. If the peak value of seismic acceleration is small and the inclination of the slip surface is large, the negative critical acceleration may not be considered when calculating the permanent displacement of sliding mass of multistage loess slope under seismic action.
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Data Availability Statement
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant No. 52168050).
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Published In
International Journal of Geomechanics
Volume 23 • Issue 11 • November 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Mar 7, 2023
Accepted: May 17, 2023
Published online: Aug 29, 2023
Published in print: Nov 1, 2023
Discussion open until: Jan 29, 2024
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