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Geotechnical and Geological Engineering
Published in: Geotechnical and Geological Engineering 3/2022

07-08-2021 | Original Paper

Direct Search for Critical General Slip Surface of Slopes with Nonlinear Strength Envelope

Authors: G. Bhattacharya, P. K. Basudhar

Published in: Geotechnical and Geological Engineering | Issue 3/2022

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Abstract

The paper pertains to the development of a numerical approach of auto-searching the critical slip surface of general shape and the associated factor of safety using limit equilibrium method but adopting a nonlinear strength envelope of soil in the analysis. The critical slip surface and the corresponding factor of safety are determined by formulating the same as a constrained nonlinear optimization problem. The problem is solved by using the extended interior penalty function method. The method as proposed in contrast to some of the used indirect procedures to identify the critical slip surface eliminates the additional computational efforts involved in carrying out the analysis using nonlinear strength envelope in comparison to the linear one. The obtained results reveal that nonlinear strength envelope gives a shallower critical slip surface with a lower factor of safety compared to those obtained from analysis considering linear strength envelope. This is of great significance in design of slopes in such soils as linear idealization of nonlinear strength envelope might lead to unsafe prediction of slope safety.
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Metadata
Title
Direct Search for Critical General Slip Surface of Slopes with Nonlinear Strength Envelope
Authors
G. Bhattacharya
P. K. Basudhar
Publication date
07-08-2021
Publisher
Springer International Publishing
Published in
Geotechnical and Geological Engineering / Issue 3/2022
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-021-01950-5

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