Implementation of the Critical Unstable Condition in Extended Finite-Element Analysis to Calculate the Safety Factor of a Predefined Slip Surface
Publication: International Journal of Geomechanics
Volume 19, Issue 3
Abstract
This study incorporated the critical unstable condition into extended finite-element analysis to determine the safety factor of a slip surface that is regarded as a discontinuity embedded into the slope mesh. The displacement field and the safety factor can be obtained simultaneously by directly solving the final nonlinear equations. Moreover, the augmented Lagrange multiplier method and the vital vertex algorithm were used to improve the accuracy of the normal stress on the slip surface. Three examples were presented to demonstrate various aspects of the proposed method, including its efficiency in searching for the critical slip surface without remeshing and sensitivity to the finite-element mesh.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grants 41672252 and 51674238) and the “Five-twelfth” National Science and Technology Support Program (Grant 2014BAC18B01).
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Published In
International Journal of Geomechanics
Volume 19 • Issue 3 • March 2019
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Jan 9, 2018
Accepted: Aug 30, 2018
Published online: Dec 21, 2018
Published in print: Mar 1, 2019
Discussion open until: May 21, 2019
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